Citation: | Hsueh Dah-wei. Generalized Variational Principles on Nonlinear Theory of Elasticity with Finite Displacements[J]. Applied Mathematics and Mechanics, 1991, 12(3): 209-218. |
[1] |
钱伟长,弹性理论中广义变分原理的研究及其在有限元计算中的应用,机械工程学报,15,2,(1979),1-23.
|
[2] |
钱伟长,再论弹性力学中的广义变分原理—就等价定理问题和胡海昌先生商榷,力学学报(1983),325-340.
|
[3] |
钱伟长,Incompatible elements and generalized variational principles,Advances in Applied Mechanics,Academic Press,24(1984),93-153.
|
[4] |
钱伟长.高阶拉氏乘子法和弹性理论中更一般的广义变分原理,应用数学和力学,4 (1983),137-180.
|
[5] |
钱伟长,大位移非线性弹性理论的变分原理和广义变分原理,应用数学和力学,9,1,(1988),1-11
|
[6] |
钱伟长,《钱伟长科学论文选集》.福建教育出版社,福州(1989).
|
[7] |
Synge,J.L.and W.Z.Chien,The intrinsic theory of elastic shells and plates,Th.Von Karman Anniversary Volume(1940),103-120.
|
[8] |
Washizu,K.,Variational Methods in Elasticity and Plasticity,Pergamon Press,London(1968).
|
[9] |
薛大为,建立广义变分原理的一种方法,应用数学和力学,8,6 (1985),481-488
|
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