Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (3): 347-357.
张国清, 余建星
收稿日期:2003-12-16
修回日期:2003-10-08
出版日期:2004-03-18
发布日期:2004-03-18
ZHANG Guo-qing, YU Jian-xing
Received:2003-12-16
Revised:2003-10-08
Online:2004-03-18
Published:2004-03-18
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.
中图分类号:
张国清;余建星. STUDY OF THE EQUIVALENT THEOREM OF GENERALIZED VARIATIONAL PRINCIPLES IN ELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(3): 347-357.
ZHANG Guo-qing;YU Jian-xing. STUDY OF THE EQUIVALENT THEOREM OF GENERALIZED VARIATIONAL PRINCIPLES IN ELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(3): 347-357.
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