范天佑

期刊论文

1. Tian-You Fan, Zhiyi Tang (2024). Symmetry and symmetry breaking of quasicrystals and their applications. International Journal of Modern Physics B.DOI
2. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Correction to: Introduction on Elasticity and Hydrodynamics of Solid Quasicrystals. Springer series in materials science.DOI
3. Zhiyi Tang, Tian-You Fan (2020). Three-dimensional equations of generalized dynamics of 18-fold symmetry soft-matter quasicrystals. Modern Physics Letters B.DOI
4. Tian-You Fan, Zhiyi Tang (2020). Three‐Dimensional Generalized Dynamics of Soft‐Matter Quasicrystals. Advances in Materials Science and Engineering.DOI
5. Fang Wang, Hui Cheng, Tian-You Fan, Haiyun Hu (2019). A Stress Analysis of Some Fundamental Specimens of Soft-Matter Quasicrystals with Eightfold Symmetry Based on Generalized Dynamics. Advances in Materials Science and Engineering.DOI
6. 王芳，范天佑，成惠（2018）. 八次软物质准晶圆柱绕流的动力学分析. 《太原师范学院学报(自然科学版)》.
7. Hui Cheng, Tian-You Fan, Haiyun Hu, Zhu-Feng Sun (2018). Is the crack opened or closed in soft-matter pentagonal and decagonal quasicrystal. Theoretical and Applied Fracture Mechanics.DOI
8. 范天佑，Fan Tian-You（2017）. 软物质第二类二维准晶广义流体动力学. 《应用数学和力学》.DOI
9. 范天佑（2017）. 软物质准晶广义流体动力学的一个应用——圆柱绕流的近似解. 《应用数学和力学》.
10. 范天佑，唐志毅，Fan Tian-You，TANG Zhi-yi（2017）. 软物质准晶三维广义流体动力学. 《应用数学和力学》.DOI
11. 王芳，范天佑，成惠（2017）. 八次对称软物质准晶及其弹性-/流体-动力学分析. 《山西师范大学学报(自然科学版)》.
12. Hui Gao, Tianzhou Xu, Tian-You Fan, Gangwei Wang (2017). Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics. The European Physical Journal Plus.DOI
13. Liangping Qiao, Wu Li, Tian-You Fan (2017). Dynamic response of an icosahedral quasi-crystalline medium with a Griffith crack under mechanical loadings. Advances in Mechanical Engineering.DOI
14. 范天佑（2016）. 软物质准晶广义流体动力学方程组. 《应用数学和力学》.
15. Hui Cheng, Tian-You Fan, Hao Wei (2016). Solutions for hydrodynamics of 5- and 10-fold symmetry quasicrystals. Applied Mathematics and Mechanics.DOI
16. Xian‐Fang Li, Luo Xie, Tian-You Fan (2016). Corrigendum to “Elasticity and dislocations in quasicrystals with 18-fold symmetry” [Phys. Lett. A 377 (39) (2013) 2810–2814]. Physics Letters A.DOI
17. Wu Li, Tian-You Fan (2016). Elasto-Dynamics of Quasicrystals. Crystals.DOI
18. Xian‐Fang Li, Tian-You Fan (2016). Dislocations in the second kind two-dimensional quasicrystals of soft matter. Physica B Condensed Matter.DOI
19. Tian-You Fan, Zhiyi Tang (2014). A model of crack based on dislocations in smectic A liquid crystals. Chinese Physics B.DOI
20. 范天佑，李显方 (2014). The stress field and energy of screw dislocation in smectic A liquid crystals and the mistakes of the classical solution. Chinese Physics B.
21. 范天佑（2014）. 固体与软物质准晶数学弹性与相关理论及应用. 《北京理工大学出版社》.
22. 郭瑞平，范天佑（2014）. 汶川地震的破裂过程分析及数值模拟. 《科技创新导报》.
23. 范天佑（2014）. 固体与软物质缺陷与断裂理论基础. 上册. 《科学出版社》.
24. Tian-You Fan, H.G. Hahn (2014). Criterion of dynamic fracture for materials with nonlinear behaviour. International Journal of Materials and Product Technology.
25. Wu Li, Hao Xin, Tian-You Fan (2014). Boundary Value Problems of Potential Functions in Decagonal Quasicrystals. Mathematical Problems in Engineering.DOI
26. 李显方，解凌云，范天佑（2013）. 18次对称准晶弹性问题及位错弹性场. 《固体力学及其应用进展——固体力学及其应用学术研讨会论文集》.
27. 范天佑（2013）. Poisson括号方法及其在准晶、液晶和一类软物质中的应用. 《力学学报》.
28. 范天佑（2012）. 准晶数学弹性理论和某些有关研究的进展(下). 《力学进展》.
29. 范天佑（2012）. 准晶数学弹性理论和某些有关研究的进展(上). 《力学进展》.
30. Tian-You Fan, Ling-Yun Xie, Lei Fa Fan, Qingzhao Wang (2011). Interface of quasicrystal and crystal. Chinese Physics B.DOI
31. Tian-You Fan, Lei Fa Fan (2011). The relation between the generalised Eshelby integral and the generalised BCS and DB models. Chinese Physics B.DOI
32. 李梧，范天佑 (2011). Plastic analysis of the crack problem in two-dimensional decagonal Al-Ni-Co quasicrystalline materials of point group 10,■. Chinese Physics B.
33. Tian-You Fan, Zhiyi Tang, Weiqiu Chen (2011). Theory of linear, nonlinear and dynamic fracture for quasicrystals. Engineering Fracture Mechanics.DOI
34. Wu Li, Tian-You Fan (2011). Exact solutions of the generalized Dugdale model of two-dimensional decagonal quasicrystals. Applied Mathematics and Computation.DOI
35. Ling-Yun Xie, Fan Tian-You (2011). The Dugdale model for a semi-infinite crack in a strip of two-dimensional decagonal quasicrystals. Journal of Mathematical Physics.DOI
36. 郭瑞平，黄宏燮，范天佑（2010）. 泡沫金属材料可压缩塑性力学有限元计算公式. 《第十二届现代数学和力学会议论文集》.
37. Liu Zhao-Long, Haiyun Hu, Fan Tian-You, Xing Xiu-San (2010). Non-equilibrium statistical theory about microscopic fatigue cracks of metal in magnetic field. Chinese Physics B.DOI
38. 范天佑，范蕾（2010）. 细胞黏附斑边值问题不是反问题. 《北京理工大学学报》.
39. 刘兆龙，胡海云，范天佑（2010）. 磁场中脆性裂纹的形成. 《中国数学力学物理学高新技术交叉研究学会第十三届学术年会》.
40. 范天佑，范蕾（2010）. 一个新型的色散关系和波速公式. 《北京理工大学学报》.
41. 孙竹凤，范天佑（2010）. 汶川地震主震断层构造应力场数值分析. 《北京理工大学学报》.
42. 杜丽萍，王宏，郭瑞平，范天佑（2010）. 受内压和激光辐照联合作用下圆柱壳动态断裂力学分析. 《辽宁工程技术大学学报(自然科学版)》.
43. Liu Zhao-Long, Haiyun Hu, Fan Tian-You, Xing Xiu-San (2010). Nucleation of Micro Crack for Brittle Fracture in Magnetic Field. Chinese Physics Letters.DOI
44. Fan Tian-You (2010). Numerical Analysis on the Tectonic Stress Field of the Main Shock Faults in the Wenchuan Earthquake. Transactions of Beijing Institute of Technology.
45. Wang Xiao-Fang, Fan Tian-You, Zhu Ai-Yu (2009). Dynamic behaviour of the icosahedral Al–Pd–Mn quasicrystal with a Griffith crack. Chinese Physics B.DOI
46. 郭瑞平，刘官厅，范天佑（2009）. 泡沫金属材料可压缩塑性力学研究进展. 《稀有金属材料与工程》.
47. Liu Zhao-Long, Haiyun Hu, Fan Tian-You, Xing Xiu-San (2009). Fatigue life of metal treated by magnetic field. Chinese Physics B.DOI
48. 范天佑，范蕾（2009）. 带玻璃衬垫的硅泡沫薄膜压痕理论的近似解析与数值研究. 《物理学报》.
49. Aiyu Zhu, Tian-You Fan (2009). ELASTIC ANALYSIS OF A GRIFFITH CRACK IN ICOSAHEDRAL QUASICRYSTAL Al-Pd-Mn QUASICRYSTAL. International Journal of Modern Physics B.DOI
50. ZHI-HUA YIN, Tian-You Fan, Aiyu Zhu (2009). DYNAMIC CRACK PROPAGATION IN FIVE-FOLD SYMMETRY QUASICRYSTALS. Modern Physics Letters B.DOI
51. Tian-You Fan, X.F. Wang, Wei Li, Aiyu Zhu (2009). Elasto-hydrodynamics of quasicrystals. The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics.DOI
52. Xiaofang Wang, Fan Tian-You (2009). Study on the dynamics of the double cantilever-beam specimen of decagonal Al–Ni–Co quasicrystals. Applied Mathematics and Computation.DOI
53. 李联和，范天佑（2008）. 20面体准晶平面弹性的复变函数方法及其椭圆缺口问题. 《中国科学:物理学 力学 天文学》.
54. Fan Tian-You (2008). Exact Solution of a Cylinder Tube Made of Metallic Foam Under Inner Pressure. 《北京理工大学学报：英文版》.
55. Lianhe Li, Tian-You Fan (2008). COMPLEX VARIABLE METHOD FOR THE PLANE ELASTICITY OF QUASICRYSTALS WITH POINT GROUP 10. International Journal of Modern Physics B.DOI
56. Hongxia Wu, Yunbo Zeng, Tian-You Fan (2008). A new multicomponent CKP hierarchy and solutions. Journal of Mathematical Physics.DOI
57. Jian Wang, Tian-You Fan (2008). ANALYTIC STUDY ON SPECIFIC HEAT OF ICOSAHEDRAL Al-Mn-Pd QUASICRYSTALS. Modern Physics Letters B.DOI
58. Lianhe Li, Tian-You Fan (2008). Complex variable method for plane elasticity of icosahedral quasicrystals and elliptic notch problem. Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & Astronomy.DOI
59. Hongxia Wu, Yunbo Zeng, Tian-You Fan (2008). The Boussinesq equation with self-consistent sources. Inverse Problems.DOI
60. Hongxia Wu, Zeng Yun-Bo, Fan Tian-You (2008). Soliton, Positon and Negaton Solutions of Extended KdV Equation. Communications in Theoretical Physics.DOI
61. Lihui Guo, Tian-You Fan (2007). Solvability on boundary-value problems of elasticity of three-dimensional quasicrystals. Applied Mathematics and Mechanics.DOI
62. 刘兆龙，胡海云，范天佑（2007）. 磁致塑性的位错机理. 《北京理工大学学报》.
63. 范天佑，孙竹凤（2007）. 一类二维对偶积分方程的解及其应用. 《应用数学和力学》.
64. Tian-You Fan, Zhu-feng Sun (2007). A class of two-dimensional dual integral equations and its application. Applied Mathematics and Mechanics.DOI
65. 郭丽辉，范天佑（2007）. 准晶弹性理论边值问题的可解性. 《应用数学和力学》.
66. 郭瑞平，刘官厅，范天佑（2007）. 金属泡沫材料平面应变裂纹缓慢扩展的奇异摄动分析. 《第六届中国功能材料及其应用学术会议论文集（10）》.
67. Aiyu Zhu, Tian-You Fan (2007). The effects of relative density of metal foams on the stresses and deformation of beam under bending. Acta Mechanica Sinica.DOI
68. Hongxia Wu, Yunbo Zeng, Tian-You Fan (2007). On the extended KdV equation with self-consistent sources. Physics Letters A.DOI
69. Zhu Ai-Yu, Fan Tian-You (2007). Elastic analysis of a mode II crack in an icosahedral quasicrystal. Chinese Physics.DOI
70. Fan Tian-You (2007). Stress Field of Straight Edge Dislocation in Magnetic Field. 《北京理工大学学报：英文版》.
71. Hongxia Wu, Yunbo Zeng, Tian-You Fan (2007). Positon and negaton solutions of the mKdV equation with self-consistent sources. Journal of Physics A Mathematical and Theoretical.DOI
72. Hongxia Wu, Yunbo Zeng, Tian-You Fan (2007). The negative extended KdV equation with self-consistent sources: soliton, positon and negaton. Communications in Nonlinear Science and Numerical Simulation.DOI
73. Lianhe Li, Tian-You Fan (2007). Exact solutions of two semi-infinite collinear cracks in a strip of one dimensional hexagonal quasicrystal. Applied Mathematics and Computation.DOI
74. Aiyu Zhu, Tian-You Fan, Li-Hui Guo (2007). Elastic field for a straight dislocation in an icosahedral quasicrystal. Journal of Physics Condensed Matter.DOI
75. Hongxia Wu, Tian-You Fan (2007). New explicit solutions of the nonlinear wave equations with damping term. Applied Mathematics and Computation.DOI
76. Hongxia Wu, Tian-You Fan (2007). Negaton and complexiton solutions of sine-Gordon equation. Physica A Statistical Mechanics and its Applications.DOI
77. Fan Tian-You (2007). Dislocation Mechanism of Magnetoplasticity. Transactions of Beijing Institute of Technology.
78. 郭瑞平，范天佑（2006）. 含半椭圆表面裂纹圆柱壳体的三维热弹性动态断裂. 《工程力学》.
79. 范天佑（2006）. 断裂动力学原理与应用. 《北京理工大学》.
80. 郭瑞平，刘官厅，范天佑，赵剑衡，谭福利（2006）. 冲击载荷下含表面裂纹圆柱壳体的动态断裂. 《应用力学学报》.
81. Hongxia Wu, Tian-You Fan (2006). Nonlinear dispersive ZK(n,n) equations: New compacton solutions and solitary pattern solutions. Applied Mathematics and Computation.DOI
82. Ruiping Guo, Guanting Liu, Tian-You Fan (2006). Semi-elliptic surface crack in an elastic solid with finite size under impact loading. Acta Mechanica Solida Sinica.DOI
83. Xian‐Fang Li, Tian-You Fan (2006). Dynamic analysis of a crack in a functionally graded material sandwiched between two elastic layers under anti-plane loading. Composite Structures.DOI
84. Lianhe Li, Fan Tian-You (2006). Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function. Chinese Physics Letters.DOI
85. Liu Zhao-Long, Fan Tian-You, Haiyun Hu (2006). Possible Mechanism of Plasticity Influenced by Magnetic Field. Chinese Physics Letters.DOI
86. Fan Tian-You (2006). THREE-DIMENSIONAL THERMAL-ELASTIC DYNAMIC FRACTURE OF HOLLOW CYLINDER WITH A SEMI-ELLIPTIC SURFACE CRACK. Engineering Mechanics.
87. 郭瑞平，刘曙云，范天佑（2005）. 热-力耦合下圆柱壳体表面裂纹问题的数值分析与模拟. 《中国力学学会学术大会'2005论文摘要集（下）》.
88. Liu Guan-ting, Tian-You Fan (2005). New applications of developed Jacobi elliptic function expansion methods. Physics Letters A.DOI
89. Tian-You Fan, Li-Hui Guo (2005). The final governing equation and fundamental solution of plane elasticity of icosahedral quasicrystals. Physics Letters A.DOI
90. 范天佑，郭瑞平（2004）. 某水坝船闸人字门拉杆破坏的断裂动力学分析. 《北京理工大学学报》.
91. 刘官厅，范天佑（2004）. 2+1维非线性发展方程的多种周期解(英文). 《内蒙古师范大学学报(自然科学版)》.
92. Liu Guan-ting, Tian-You Fan, Ruiping Guo (2004). Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals. International Journal of Solids and Structures.DOI
93. Liu Guan-ting, Fan Tian-You (2004). Periodic solutions of nonlinear Schr dinger type equations. Chinese Physics.DOI
94. Tian-You Fan, Yiu‐Wing Mai (2004). Elasticity theory, fracture mechanics, and some relevant thermal properties of quasi-crystalline materials. Applied Mechanics Reviews.DOI
95. Ruiping Guo, Yiu‐Wing Mai, Tian-You Fan, Guanting Liu, Martin Maier (2004). Plane stress crack growing steadily in metal foams. Materials Science and Engineering A.DOI
96. Liu Guan-ting, Fan Tian-You (2004). New Exact Solutions of Broer-Kaup Equations. Communications in Theoretical Physics.DOI
97. 周旺民，范天佑，尹姝媛（2003）. 立方准晶材料的剪切裂纹问题. 《应用数学和力学》.
98. Zhou Wang-min, Fan Tian-You, Yin Shu-yuan (2003). Crack problem under shear loading in cubic quasicrystal. Applied Mathematics and Mechanics.DOI
99. 刘官厅，范天佑 (2003). Complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry and holey problems. Science China Technological Sciences.
100. 刘官厅，范天佑（2003）. 点群10mm十次对称二维准晶平面弹性的复变解法及孔口问题. 《中国科学:技术科学》.
101. 范天佑（2003）. 断裂理论基础. 《科学出版社》.
102. 刘官厅，郭瑞平，范天佑（2003）. 位移函数及十二次对称二维准晶平面弹性问题的简化(英文). 《内蒙古师范大学学报(自然科学版)》.
103. Liu Guan-ting, Guo Rui-Ping, Fan Tian-You (2003). On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals. Chinese Physics.DOI
104. Dawei Shen, Tian-You Fan (2003). Semi-inverse method for solving circular arc crack problems. Engineering Fracture Mechanics.DOI
105. Xiang‐Fa Wu, Yuris A. Dzenis, Tian-You Fan (2003). Screw dislocation interacting with twin interfacial edge cracks between two bonded dissimilar piezoelectric strips. Mechanics Research Communications.DOI
106. Xiang‐Fa Wu, Yuris A. Dzenis, Tian-You Fan (2003). Two semi-infinite interfacial cracks between two bonded dissimilar elastic strips. International Journal of Engineering Science.DOI
107. Liu Guan-ting, Tian-You Fan, Ruiping Guo (2003). Displacement function and simplifying of plane elasticity problems of two-dimensional quasicrystals with noncrystal rotational symmetry. Mechanics Research Communications.DOI
108. Tian-You Fan, Yiu‐Wing Mai (2003). The partition function and state equation of the point group 12mm two-dimensional dodecagonal quasicrystal. The European Physical Journal B.DOI
109. Sun Zhufeng, Fan Tian-You, WU Xiang-fa (2002). Convolution of the impact three-dimensional elasto-dynamics and dynamic stress intensity factor for an elliptic cracks. Acta Mechanica Sinica.DOI
110. 李显方，范天佑（2002）. 刚性电极夹持的压电陶瓷层中含Ⅲ型裂纹的解析解. 《固体力学学报》.
111. Xian‐Fang Li, Fan Tian-You (2002). Electroelastic field for an impermeable anti-plane shear crack in a piezoelectric ceramics plate. Applied Mathematics and Mechanics.DOI
112. 李显方，范天佑（2002）. 压电陶瓷带形中Ⅲ型裂纹的精确分析解. 《力学学报》.
113. 尹姝媛，周旺民，范天佑（2002）. 八次对称二维准晶中的Ⅱ型裂纹. 《应用数学和力学》.
114. 李显方，范天佑（2002）. 压电陶瓷板中非电渗透型反平面裂纹的电弹性场. 《应用数学和力学》.
115. Yin Shu-yuan, Zhou Wang-min, Fan Tian-You (2002). A mode II crack in a two-dimensional octagonal quasicrystals. Applied Mathematics and Mechanics.DOI
116. 郭瑞平，刘官厅，范天佑，Y.W.Mai（2002）. 金属多胞材料反平面应变裂纹的稳态扩展. 《2002年材料科学与工程新进展（下）——2002年中国材料研讨会论文集》.
117. 范天佑（2002）. 王仁老师与董铁宝老师指引我研究断裂理论时的几点回忆. 《仁厚笃实的一生——王仁先生纪念文集》.
118. Xian‐Fang Li, Fan Tian-You (2002). Elastic analysis of a mode II crack in a decagonal quasi-crystal. Chinese Physics.DOI
119. Dawei Shen, Tian-You Fan (2002). Exact solutions of two semi-infinite collinear cracks in a strip. Engineering Fracture Mechanics.DOI
120. Yan-ze Peng, Tian-You Fan (2002). Perturbation theory of 2D decagonal quasicrystals. Physica B Condensed Matter.DOI
121. Xian‐Fang Li, Tian-You Fan (2002). Transient analysis of a piezoelectric strip with a permeable crack under anti-plane impact loads. International Journal of Engineering Science.DOI
122. 彭彦泽，范天佑（2001）. 摄动方法解二维十次准晶圆盘状裂纹问题. 《北京理工大学学报》.
123. 郭玉翠，范天佑（2001）. 平面十次对称准晶中Ⅱ型Griffith裂纹的求解. 《应用数学和力学》.
124. Yucui Guo, Fan Tian-You (2001). A mode-II griffith crack in decagonal quasicrystals. Applied Mathematics and Mechanics.DOI
125. Xian‐Fang Li, Tian-You Fan (2001). The asymptotic stress field for a rigid circular inclusion at the interface of two bonded dissimilar elastic half-space materials. International Journal of Solids and Structures.DOI
126. Zhou Wang-min, Fan Tian-You (2001). Plane elasticity problem of two-dimensional octagonal quasicrystals and crack problem. Chinese Physics.DOI
127. Y.Z. Peng, Tian-You Fan (2001). Crack and indentation problems for one-dimensional hexagonal quasicrystals. The European Physical Journal B.DOI
128. Yan-ze Peng, Tian-You Fan, Fu-ru Jiang, Weiguo Zhang, Ying-fei Sun (2001). Perturbative method for solving elastic problems of one-dimensional hexagonal quasicrystals. Journal of Physics Condensed Matter.DOI
129. 范天佑（2000）. 准晶数学弹性力学和缺陷力学. 《力学进展》.
130. 李显方，范天佑（2000）. 压电材料界面刚性导电型线夹杂的反平面问题. 《北京理工大学学报》.
131. 杨晓春，王鲁，范天佑（2000）. 狭长体中非对称快速传播裂纹的分析解. 《力学学报》.
132. Yan-ze Peng, Fan Tian-You (2000). Perturbation method solving elastic problems of icosahedral quasicrystals containing a circular crack. Chinese Physics.DOI
133. Zhou Wang-min, Fan Tian-You (2000). Axisymmetric elasticity problem of cubic quasicrystal. Chinese Physics.DOI
134. Yan-ze Peng, Tian-You Fan (2000). Elastic theory of 1D-quasiperiodic stacking of 2D crystals. Journal of Physics Condensed Matter.DOI
135. Xian‐Fang Li, Tian-You Fan, Xiang‐Fa Wu (2000). A moving mode-III crack at the interface between two dissimilar piezoelectric materials. International Journal of Engineering Science.DOI
136. Xiangfang Li, Tian-You Fan (2000). Semi-Infinite Anti-Plane Crack in a Piezoelectric Material. International Journal of Fracture.DOI
137. Sun Yingfei, Fan Tian-You, Zhou Meike (2000). The existence of periodic solution and behavior of the generalized solution when t→+∞ of boundary problem of non-Newtonian fluids. Applied Mathematics and Computation.DOI
138. 吴祥法，范天佑，刘长（1999）. 有限变形弹性体J积分守恒及其对偶形式. 《应用数学和力学》.
139. 杨晓春，王鲁，范天佑（1999）. 断层两侧块体宽度不等时断层的不稳定性分析. 《地球物理学报》.
140. 李成岳，范天佑，童明生（1999）. 三维接触动力学中的瞬态位移分布. 《北京理工大学学报》.
141. 童明生，刘长河，范天佑，黄忠臣（1999）. Fibonacci立方网络上平行路径的寻径算法. 《北京理工大学学报》.
142. 吴祥法，范天佑（1999）. 平面准晶中的路径守恒积分及其应用. 《北京理工大学学报》.
143. 吴祥法，范天佑（1999）. 圆盘状裂纹前缘塑性区尺寸及张开位移估计. 《应用力学学报》.
144. 杨晓春，范天佑（1999）. 弹性半平面中的斜边界裂纹问题. 《应用力学学报》.
145. 吴祥法，范天佑，刘长河 (1999). PATH-INDEPENDENT J-INTEGRAL AND ITS DUAL FORM IN ELASTIC-PLASTIC SOLIDS WITH FINITE DISPLACEMENTS. Applied Mathematics and Mechanics(English Edition).
146. 刘长河，童明生，范天佑（1999）. 超立方网络上的平行路径. 《计算机学报》.
147. 郭玉翠，范天佑（1999）. 纤维增强复合材料断裂的宏微观结合模型. 《复合材料学报》.
148. 王鲁，吕广庶，王富耻，范天佑（1999）. 功能梯度热障涂层热负荷下的有限元分析. 《兵工学报》.
149. 吴祥法，杨晓春，范天佑（1999）. 双材料界面运动Griffith裂纹(英文). 《数学杂志》.
150. Tian-You Fan (1999). A study on the specific heat of a one-dimensional hexagonal quasicrystal. Journal of Physics Condensed Matter.DOI
151. Xian‐Fang Li, Tian-You Fan (1999). A Straight Dislocation in One-Dimensional Hexagonal Quasicrystals. physica status solidi (b).DOI
152. Xian‐Fang Li, Xiang-Yang Duan, Tian-You Fan, Sun Ying-fei (1999). Elastic field for a straight dislocation in a decagonal quasicrystal. Journal of Physics Condensed Matter.DOI
153. Tian-You Fan, Xiaochun Yang, He-xin Li (1999). Exact Analytic Solutions for a Finite Width Strip with a Single Edge Crack. Chinese Physics Letters.DOI
154. Chengyue Li, Tian-You Fan, Mingsheng Tong (1999). Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems. Chinese Science Bulletin.DOI
155. Xian‐Fang Li, Fan Tian-You, Sun Ying-fei (1999). A decagonal quasicrystal with a Griffith crack. Philosophical magazine. A/Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties.DOI
156. Fan Tian-You, Xian‐Fang Li, Sun Ying-fei (1999). A moving screw dislocation in a one-dimensional hexagonal quasicrystal. Acta Physica Sinica (Overseas Edition).DOI
157. 谢和平，朱哲明，范天佑（1998）. 脆性岩石断裂破坏机理的边界配位法分析. 《力学学报》.
158. 王鲁，吕广庶，王富耻，张丽华，范天佑（1998）. 功能梯度材料的基体与颗粒界面热应力研究. 《北京理工大学学报》.
159. 童明生，刘长河，范天佑（1998）. 一般化超立方网络的容错寻径算法. 《计算机学报》.
160. Wenxin Wang, Tian-You Fan, Liangxin Zhang (1998). Analytic study on angular fields of HRR solution. Science in China Series A Mathematics.DOI
161. 郭玉翠，范天佑（1998）. 平面五次对称准晶中的应力强度因子. 《北京邮电大学学报》.
162. 童明生，刘长河，范天佑（1998）. 一种在立方环网络上加总线的方法. 《计算机学报》.
163. Xian‐Fang Li, Tian-You Fan (1998). New Method for Solving Elasticity Problems of Some Planar Quasicrystals and Solutions. Chinese Physics Letters.DOI
164. Xiaochun Yang, Lu Wang, Tian-You Fan (1998). Analytic Solution of an Asymmetrical Crack in a Strip. Chinese Physics Letters.DOI
165. 李成岳，童明生，范天佑（1997）. 拉格朗日系统的奇性周期解. 《北京理工大学学报》.
166. 张良欣，范天佑，王文信（1997）. 非线性断裂理论基本问题的精确分析解. 《中国科学:数学》.
167. 范天佑，郭玉翠（1997）. 平面五次对称准晶中一类混合边值问题的交替解法与直接积分法. 《中国科学:数学》.
168. Tian-You Fan, Yucui Guo (1997). Mathematical methods for a class of mixed boundary-value problems of planar pentagonal quasicrystal and some solutions. Science in China Series A Mathematics.DOI
169. Tian-You Fan, Michael A. Sutton, Liangxin Zhang (1997). Crack growth of plane stress state in hardening material. Chinese Science Bulletin.DOI
170. Tian-You Fan, Michael A. Sutton, L.X. Zhang (1997). Plane Stress Steady Crack Growth in a Power-Law Hardening Material. International Journal of Fracture.DOI
171. 范天佑，H.G.Hahn，A.Voigt（1996）. 瞬态接触动力学的三维问题. 《中国科学:数学》.
172. 范天佑，H.G.Hahn，A.Voigt (1996). Three-dimensional problem of transient contact dynamics. Science China Mathematics.
173. 范天佑 (1996). Mathematical modelling on instability of shear fault. Science China Technological Sciences.
174. 范天佑（1996）. 剪切断层不稳定性的数学模拟. 《中国科学:技术科学》.
175. Hua Zhu, Fan Tian-You, Tian Lan-Qiao (1996). Composite materials dynamic fracture studies by generalized Shmuely difference algorithm. Engineering Fracture Mechanics.DOI
176. 范天佑（1994）. 第二届IMACS计算物理会议简讯. 《物理》.
177. 范天佑（1994）. 董铁宝教授──我国固体断裂理论研究的先行者之一. 《力学与实践》.
178. Tian-You Fan, Martin Maier, Steffen Kerth (1994). A SIMPLE MODEL FOR FRACTURE IN A LAMINATED STRIP AND AN APPROXIMATE SOLUTION IN CLOSED FORM. International Journal of Modern Physics C.DOI
179. Tian-You Fan, H.G. Hahn, A. Voigt (1994). A TRANSIENT DYNAMIC CONTACT PROBLEM IN THREE DIMENSIONS. International Journal of Modern Physics C.DOI
180. Wang Wen-xin, Fan Tian-You (1994). Analytic solution of mode-I crack in materials with nonlinear behaviour. Philosophical Magazine Letters.DOI
181. Takuo Maruyama, Tian-You Fan (1993). A Breakdown Zone Model of a Fault in a Strip. Journal of Physics of the Earth.DOI
182. Fan Tian-You (1993). Plastic zone and opening displacement of a propagating crack in a strip. Engineering Fracture Mechanics.DOI
183. G.M.L.Gladwell, 范天佑（1991）. 三维运动接触问题的广义Галин定理. 《力学学报》.
184. 范天佑 (1991). EXACT ANALYTIC SOLUTIONS OF STATIONARY AND FAST PROPAGATING CRACKS IN A STRIP. Science China Mathematics.
185. G. M. L. Gladwell, Fan Tian-You (1991). Galin's theorem holds for moving punch. Acta Mechanica Sinica.DOI
186. Tian-You Fan (1991). Propagating semi-infinite crack in fluid-saturated porous medium of finite height. Theoretical and Applied Fracture Mechanics.DOI
187. Tian-You Fan (1991). Propagating crack in a strip: A study on exact analytic solutions in closed form. Engineering Fracture Mechanics.DOI
188. 范天佑（1990）. 断裂动力学引论. 《北京工业学院出版社》.
189. 范天佑，瀚赫格（1990）. 含流体多孔介质中的快速传播断层(英文). 《北京理工大学学报》.
190. Tian-You Fan (1990). The dugdale model for semi-infinite crack in a strip. Engineering Fracture Mechanics.DOI
191. Fan Tian-You (1990). Stress intensity factors of mode I and mode II for an infinite crack in a strip. International Journal of Fracture.DOI
192. Fan Tian-You (1990). Propagating crack in a strip and its exact solution. Chinese Physics Letters.DOI
193. Fan Tian-You (1990). Exact solutions of semi-infinite crack in a strip. Chinese Physics Letters.DOI
194. 马静娴，尚婕，范天佑（1988）. 某些瞬态载荷下的动态应力强度因子的计算. 《北京理工大学学报》.
195. Fan Tian-You (1988). ANALYSIS OF MOVING AND GROWING CRACK COUPLED BY NONLINEAR DEFORMATION. Science in China Series A-Mathematics Physics Astronomy & Technological Science.DOI
196. 范天佑（1987）. 粘性流体动力学的边界积分方程及其数值解法. 《北京理工大学学报》.
197. Tian-You Fan (1987). Moving Dugdale model. Zeitschrift für angewandte Mathematik und Physik.DOI
198. 范天佑（1986）. 非线性介质中运动裂纹的动能公式. 《北京理工大学学报》.
199. 范天佑（1986）. 断裂动力学的进展. 《力学进展》.
200. 范天佑（1986）. 用摄动展开、积分变换与边界积分方程相结合的方法求解普遍瞬态弹塑性动力学的初值——边值问题. 《北京理工大学学报》.
201. 范天佑，H·GHahn（1986）. 边界积分方程法在断裂力学中的计算研究及其对瞬态粘弹性动力学问题的扩充. 《力学学报》.
202. Fan Tian-You (1986). Moving defect with irreversible deformation zone and criterion of nonlinear dynamic fracture of solids. Chinese Physics Letters.DOI
203. Fan Tian-You (1986). A nonlinear continuous medium model of dislocation and its stress, strain and displacement fields. Chinese Physics Letters.DOI
204. Tian-You Fan (1985). The kinetic energy formula of a moving crack in elasto-plastic medium. Chinese Physics Letters.DOI
205. 范天佑，赫·格·翰，底·特勒弗，彻·培·弗里茨（1984）. 边界积分方程法关于静态与动态断裂力学问题的计算机实施,计算实例和某些分析与评论. 《北京理工大学学报》.
206. 范天佑（1983）. 关于弹性力学空间问题的位移函数的补充说明. 《应用数学学报》.
207. Yuan-Xun Fan, Tian-You Fan, Da-Jun Fan (1982). The approximate analytical solution for both surface and embedded cracks in cylinder with finite size. Engineering Fracture Mechanics.DOI
208. 范天佑（1979）. 带唇形裂纹薄板的弯曲与扭转问题. 《力学与实践》.
209. 范天佑（1979）. Green-Sneddon解的详细推导并兼论Sneddon与Lowengrub所著《Crack Problems in the Classical Theory of Elasticity》一书中的有关错误. 《力学与实践》.
210. 范天佑（1979）. 对偶积分方程与对偶积分方程组及其在固体力学与流体力学中的某些应用. 《应用数学学报》.
211. 范天佑（1978）. 断裂力学基础. 《江苏科学技术出版社》.

预印本

1. Tian-You Fan, Zhiyi Tang, Hui Cheng, Wei Guo (2024). 1 Exploring Physical and Mathematical Origins of 2 Metastability in Recently Observed Decagonal 3 Soft-Matter Quasicrystals. SSRN Electronic Journal.DOI
2. Tian-You Fan, Zhiyi Tang (2019). Study on stability of the first kind of soft-matter quasicrystals. arXiv (Cornell University).DOI

书籍章节

1. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Introduction to Soft Matter. Springer series in materials science.DOI
2. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Dynamics of 10-Fold Symmetrical Soft-Matter Quasicrystals. Springer series in materials science.DOI
3. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Dynamics of 8-Fold Symmetric Soft-Matter Quasicrystal Models. Springer series in materials science.DOI
4. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry. Springer series in materials science.DOI
5. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). The Possible 7-, 9-, and 14-fold Symmetry Quasicrystals in Soft Matter. Springer series in materials science.DOI
6. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Applications to Device Physics—Photon Band Gap of Holographic Photonic Quasicrystals. Springer series in materials science.DOI
7. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Re-Discussion on Symmetry Breaking and Elementary Excitations. Springer series in materials science.DOI
8. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Case Study of Equation of State in Several Structured Fluids. Springer series in materials science.DOI
9. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). An Application to the Thermodynamic Stability of Soft-Matter Quasicrystals. Springer series in materials science.DOI
10. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Poisson Brackets and Derivation of Equations of Motion in Soft-Matter Quasicrystals. Springer series in materials science.DOI
11. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Dynamics of 18-Fold Symmetric Soft-Matter Quasicrystals. Springer series in materials science.DOI
12. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Introduction on Elasticity and Hydrodynamics of Solid Quasicrystals. Springer series in materials science.DOI
13. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Conclusion Remarks. Springer series in materials science.DOI
14. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Oseen Theory and Oseen Solution. Springer series in materials science.DOI
15. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). An Application to Smectic A Liquid Crystals, Dislocation, and Crack. Springer series in materials science.DOI
16. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Possible Applications to General Soft Matter. Springer series in materials science.DOI
17. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Discovery of Soft-Matter Quasicrystals and Their Properties. Springer series in materials science.DOI
18. Hui Cheng, Tian-You Fan (2020). Probe on Rupture Theory of Soft-Matter Quasicrystals. IntechOpen eBooks.DOI
19. Tian-You Fan, Zhiyi Tang (2020). Three-Dimensional Generalized Dynamics of Soft-Matter Quasicrystals. Vide Leaf, Hyderabad eBooks.DOI
20. Tian-You Fan (2017). Dynamics of Possible Five and Tenfold Symmetrical Soft-Matter Quasicrystals. Springer series in materials science.DOI
21. Tian-You Fan (2017). Dynamics of Possible Soft-Matter Quasicrystals of Eightfold Symmetry. Springer series in materials science.DOI
22. Tian-You Fan (2017). The Possible 7-, 9- and 14-Fold Symmetry Quasicrystals in Soft Matter. Springer series in materials science.DOI
23. Tian-You Fan (2017). Poisson Brackets and Derivation of Equations of Motion of Soft-Matter Quasicrystals. Springer series in materials science.DOI
24. Tian-You Fan (2017). Dynamics of Soft-Matter Quasicrystals with 18-Fold Symmetry. Springer series in materials science.DOI
25. Tian-You Fan (2017). Review in Brief on Elasticity and Hydrodynamics of Solid Quasicrystals. Springer series in materials science.DOI
26. Tian-You Fan (2017). Oseen Flow and Generalized Oseen Flow. Springer series in materials science.DOI
27. Tian-You Fan (2017). Dynamics of Soft-Matter Quasicrystals with 12-Fold Symmetry. Springer series in materials science.DOI
28. Tian-You Fan (2017). Discovery of Soft-Matter Quasicrystals and Their Properties. Springer series in materials science.DOI
29. Tian-You Fan (2017). An Application of Analytic Methods to Smectic A Liquid Crystals, Dislocation and Crack. Springer series in materials science.DOI
30. Tian-You Fan (2017). Equation of State of Some Structured Fluids. Springer series in materials science.DOI
31. Tian-You Fan (2017). Introduction to Soft Matter in Brief. Springer series in materials science.DOI
32. Fan Tian-You (2017). Conclusion Remarks. Springer series in materials science.DOI
33. Tian-You Fan (2016). Theory of Elasticity of Three-Dimensional Quasicrystals and Its Applications. Springer series in materials science.DOI
34. Tian-You Fan (2016). Elasticity Theory of One-Dimensional Quasicrystals and Simplification. Springer series in materials science.DOI
35. Tian-You Fan (2016). The Physical Basis of Elasticity of Solid Quasicrystals. Springer series in materials science.DOI
36. Tian-You Fan (2016). Variational Principle of Elasticity of Quasicrystals, Numerical Analysis and Applications. Springer series in materials science.DOI
37. Tian-You Fan (2016). Nonlinear Behaviour of Quasicrystals. Springer series in materials science.DOI
38. Tian-You Fan (2016). Fracture Theory of Solid Quasicrystals. Springer series in materials science.DOI
39. Tian-You Fan (2016). Hydrodynamics of Solid Quasicrystals. Springer series in materials science.DOI
40. Tian-You Fan (2016). Phonon-Phason Dynamics and Defect Dynamics of Solid Quasicrystals. Springer series in materials science.DOI
41. Tian-You Fan (2016). Complex Analysis Method for Elasticity of Quasicrystals. Springer series in materials science.DOI
42. Tian-You Fan (2016). Quasicrystal and Its Properties. Springer series in materials science.DOI
43. Tian-You Fan (2016). Application I—Some Dislocation and Interface Problems and Solutions in One- and Two-Dimensional Quasicrystals. Springer series in materials science.DOI
44. Tian-You Fan (2016). Some Mathematical Principles on Solutions of Elasticity of Quasicrystals. Springer series in materials science.DOI
45. Tian-You Fan (2016). Elasticity of Two-Dimensional Quasicrystals and Simplification. Springer series in materials science.DOI
46. Tian-You Fan (2016). Application II—Solutions of Notch and Crack Problems of One- and Two-Dimensional Quasicrystals. Springer series in materials science.DOI
47. Tian-You Fan (2016). Remarkable Conclusion. Springer series in materials science.DOI
48. Tian-You Fan (2016). Framework of Crystal Elasticity. Springer series in materials science.DOI
49. Tian-You Fan (2016). Crystals. Springer series in materials science.DOI
50. Tian-You Fan (2011). Theory of elasticity of three-dimensional quasicrystals and its applications. Springer eBooks.DOI
51. Tian-You Fan (2011). Framework of the classical theory of elasticity. Springer eBooks.DOI
52. Tian-You Fan (2011). Crystals. Springer eBooks.DOI
53. Tian-You Fan (2011). Elasticity of two-dimensional quasicrystals and simplification. Springer eBooks.DOI
54. Tian-You Fan (2011). Elasticity theory of one-dimensional quasicrystals and simplification. Springer eBooks.DOI
55. Tian-You Fan (2011). Some mathematical principles on solutions of elasticity of quasicrystals. Springer eBooks.DOI
56. Tian-You Fan (2011). Dynamics of elasticity and defects of quasicrystals. Springer eBooks.DOI
57. Tian-You Fan (2011). Application II: Solutions of notch and crack problems of one-and two-dimensional quasicrystals. Springer eBooks.DOI
58. Tian-You Fan (2011). Fracture theory of quasicrystals. Springer eBooks.DOI
59. Tian-You Fan (2011). The physical basis of elasticity of quasicrystals. Springer eBooks.DOI
60. Tian-You Fan (2011). Remarkable Conclusion. Springer eBooks.DOI
61. Tian-You Fan (2011). Nonlinear behaviour of quasicrystals. Springer eBooks.DOI
62. Tian-You Fan (2011). Variational principle of elasticity of quasicrystals, numerical analysis and applications. Springer eBooks.DOI
63. Tian-You Fan (2011). Complex variable function method for elasticity of quasicrystals. Springer eBooks.DOI
64. Tian-You Fan (2011). Application I—Some dislocation and interface problems and solutions in one- and two-dimensional quasicrystals. Springer eBooks.DOI
65. Tian-You Fan (2011). Quasicrystal and its properties. Springer eBooks.DOI
66. Xiao-Chun Yang, Tian-You Fan (2000). Plastic Zone and Opening Displacement for an Asymmetrical Fast Propagating Semi-Infinite Crack in a Strip. International Society for Analysis, Applications and Computation.DOI

书籍

1. Tian-You Fan, Xian‐Fang Li, Xiaohong Sun, Mingjun Huang, Yuchu Liu (2023). Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. WORLD SCIENTIFIC eBooks.DOI
2. Tian-You Fan, Wenge Yang, Hui Cheng, Xiaohong Sun (2022). Generalized Dynamics of Soft-Matter Quasicrystals. Springer series in materials science.DOI
3. Tian-You Fan (2017). Generalized Dynamics of Soft-Matter Quasicrystals. Springer series in materials science.DOI
4. Tian-You Fan (2011). Mathematical Theory of Elasticity of Quasicrystals and Its Applications. Springer eBooks.DOI