Citation: | Chen Zhi-da. The Moiré Geometry of Plane Finite Strain and Rotation[J]. Applied Mathematics and Mechanics, 1981, 2(6): 651-657. |
[1] |
Hencky,H.,Die Bewegungsgleichungen beim nichtstationaren fliessen plastischer Massen,ZAMM,5(1925),144-146.
|
[2] |
Brillouin,L.,Les tenseurs en Mecanique et en Elasticite,Paris,(1938).
|
[3] |
Synge,J.L.and Chien,W.Z.,The intrinsic theory of elastic shells and plates,Theodore von Karman Aniversary volume,(1941).
|
[4] |
Green,A.E.and Zerna.W.,Theory of elasticity in general coordinates in the mechanics of continuous media,Phil.Mag.,47(1950),313-336.
|
[5] |
Lodge,A.S.,Body Tensor Fields in Continuum Mechanics,Academic Press,(1974).
|
[6] |
Biot,M.A.,Mechanics of Incremental Deformation,John Wiley,(1965).
|
[7] |
Swainger,K.H.,Saint-Venant's and Filon's finite strain definitions nonlinear in displacement gradients,Nature,164(1949),53.
|
[8] |
Brinkmann,G.,Uber die nichtlinearen Glieder in Verschielungs-Dehnungsgesetz,Ing.Arch.32(1963),77-80.
|
[9] |
John,F.,Rotation and strain,Commu.Pure and Appl.Math.,14(1961),391-413.
|
[10] |
Park,V.J.and Durelli,A.J.,On the definition of strain and their use in large-strain analysis,Bxp.Mech.,7. (1967),279-280.
|
[11] |
Durelli,A.J.,Visual representation of the kinematics of the continuum,Second SESA Int.Cong,on Exp.Mech.,The Willian M.Murray Lecture,(1965).
|
[12] |
陈至达,连续介质有限变形力学几何场论,力学学报.2期(1979), 107-117.
|
[13] |
陈至达,实验应力分析补充讲义.中国矿业学院北京研究生部,(1980).
|
[14] |
姜复本,Moiré方法(中文),清华大学工程力学系印,(1980).
|
[15] |
陈至达.固体在温度影响下的大变形测量,中国矿业学院研究报告,(1964).
|
[1] | FAN Yajie, LI Yan, LI Zhongpan, CHEN Huijian, FENG Zhiqiang. Smoothed Finite Element Analysis of Contact and Large Deformation Problems[J]. Applied Mathematics and Mechanics, 2024, 45(2): 127-143. doi: 10.21656/1000-0887.440251 |
[2] | WANG Xi-gang, FU Ming-fu. Fuzzy Elasto-Visco-Plasticity Analysis of Finite Deformation Based on the L-D Plastic Flow Rule[J]. Applied Mathematics and Mechanics, 2015, 36(2): 128-139. doi: 10.3879/j.issn.1000-0887.2015.02.002 |
[3] | S.Mustafa Mahfooz, Md.Anwar Hossain. Conduction-Radiation Effect on Transient Natural Convection Along a Vertical Flat Surface With Thermophoresis[J]. Applied Mathematics and Mechanics, 2012, 33(3): 265-279. doi: 10.3879/j.issn.1000-0887.2012.03.001 |
[4] | LIU Zhi-fang, ZHANG Shan-yuan. Solitary Waves in Finite Deformation Elastic Circular Rod[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1255-1260. |
[5] | GUO Jian-gang, ZHOU Li-jun, ZHANG Shan-yuan. Geometrical Nonlinear Waves in Finite Deformation Elastic Rods[J]. Applied Mathematics and Mechanics, 2005, 26(5): 614-620. |
[6] | ZHOU Zhe, QIN Ling-li, HUANG Wen-bin, WANG Hong-wei. Effective Stress and Strain in Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(5): 542-550. |
[7] | CHEN Shu-yu, SHEN Cheng-kang, JIN Wu-gen. Study on Dynamic Constitutive Relations for Concrete With Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1257-1263. |
[8] | Chen Zhida. Inverse Asymptotic Solution Method for Finite Deformation Elasto-Plasticity[J]. Applied Mathematics and Mechanics, 1997, 18(11): 959-966. |
[9] | Zheng Quanshui. Quasi-Principal Axis Method in Finite Deformation[J]. Applied Mathematics and Mechanics, 1996, 17(10): 857-868. |
[10] | Yin Chang-yan, Zu Cheng-de. Plane Problems of a Finite Disc Containing an Internal Crack[J]. Applied Mathematics and Mechanics, 1990, 11(10): 861-870. |
[11] | Yun Tian-quan. Primary Research on Subjectivity Geometry[J]. Applied Mathematics and Mechanics, 1989, 10(8): 657-661. |
[12] | Hsueh Dah-wei. Theorems on the Limit Analysis of Finite Deformation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 189-192. |
[13] | Chen Zhi-da. On the Representation of Finite Rotation in Nonlinear Field Theory of Continuum Mechanics[J]. Applied Mathematics and Mechanics, 1986, 7(11): 959-968. |
[14] | Peng Len-sheng, Cheng Yuan-sheng. Discussion of "Some Discussions on Finite Deformation of Continuous Media"[J]. Applied Mathematics and Mechanics, 1985, 6(9): 853-857. |
[15] | Chen Zhi-da. Incremental Formulation for Finite Strain and Finite Rotation of Continuum Mechanics[J]. Applied Mathematics and Mechanics, 1985, 6(9): 769-774. |
[16] | Chen Yuan-han. Large Deformation Solution of Stiffened Plates by a Mixed Finite Element Method[J]. Applied Mathematics and Mechanics, 1984, 5(1): 139-151. |
[17] | Chen Zhi-da. On the Compatibility Condition of Displacement Field for Finite Deformation of Continuum[J]. Applied Mathematics and Mechanics, 1983, 4(6): 757-761. |
[18] | Chen Zhi-da. The Finite Rotation Parameter of a Deformable Body and Gyromagnetic Effect[J]. Applied Mathematics and Mechanics, 1983, 4(2): 151-157. |
[19] | Cheng Yuan-sheng. Some Discussions on Finite Deformation of Continuous Media[J]. Applied Mathematics and Mechanics, 1981, 2(4): 439-444. |
[20] | Wang Hong-gang. The Fundamental Equations in Finite-Element Method of Coupled Thermo-elastic Plane Problem[J]. Applied Mathematics and Mechanics, 1980, 1(2): 247-259. |