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| STUDY OF THE EQUIVALENT THEOREM OF GENERALIZED VARIATIONAL PRINCIPLES IN ELASTICITY | |
| 引用本文： | 张国清,余建星. STUDY OF THE EQUIVALENT THEOREM OF GENERALIZED VARIATIONAL PRINCIPLES IN ELASTICITY[J]. 应用数学和力学(英文版), 2004, 25(3): 347-357. DOI: 10.1007/BF02437338 |
| 作者姓名： | 张国清 余建星 |
| 作者单位： | CivilEngineeringCollege,TianjinUniversity,Tianjin300072,P.R.China |
| 摘 要： | The relations of all generalized variational principles in elasticity are studied by employing the invariance theorem of field theory. The infinitesimal scale transformation in field theory was employed to investigate the equivalent theorem. Among the results found particularly interesting are those related to that all generalized variational principles in elasticity are equal to each other. Also studied result is that only two variables are independent in the functional and the stress-strain relation is the variational constraint condition for all generalized variational principles in elasticity. This work has proven again the conclusion of Prof. Chien Wei-zang. |
| 关 键 词： | 弹性力学 变分法 刻度转换 不变性 普通变分原则 |
| 收稿时间： | 2002-12-16 |
Study of the equivalent theorem of generalized variational principles in elasticity |
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| Guo-qing,Zhang,Jian-xing,Yu. Study of the equivalent theorem of generalized variational principles in elasticity[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(3): 347-357. DOI: 10.1007/BF02437338 | |
| Authors: | Guo-qing Zhang Jian-xing Yu |
| Affiliation: | Civil Engineering College, Tianjin University,Tianjin 300072, P.R.China |
| Abstract: | The relations of all generalized variational principles in elasticity are studied by employing the invariance theorem of field theory. The infinitesimal scale transformation in field theory was employed to investigate the equivalent theorem. Among the results found particularly interesting are those related to that all generalized variational principles in elasticity are equal to each other. Also studied result is that only two variables are independent in the functional and the stress-strain relation is the variational constraint condition for all generalized variational principles in elasticity. This work has proven again the conclusion of Prof. Chien Wei-zang. |
| Keywords: | elasticity generalized variational principle equivalent theorem scale transformation invariance |
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