摘要
首先导出了直角坐标系有限变形非线性弹性力学的变形能原理，然后应用有限变形的功的互等定理分别导出了有限变形的势能泛函和余能泛函，从而证明了上述两原理的正确性，并建立了它与变分原理的联系。
Deformation energy theorem for non-linear elasticity with finite displacements in rectamgular cartesain coordinates is first der ived in this paper,and then the functionals of potentional energy and complementary energy with finite displacements are denived from the re ciprocal theosrem with finife dispacements,respectively.In this way,th e above mentioned two theorems are proved to be correct and the relati ons between them and variational principles are given.
出处
《燕山大学学报》
CAS
2002年第1期4-6,19,共4页
Journal of Yanshan University
关键词
有限变形
变形能原理
功
互等定理
热能原理
余能
变分原理
非线性
finite displacernent,deformation energy theorem,reciproc al theorem,potential energy principle,complementary energy principle.
