摘要
以小位移弹性理论为例,从数学上给出了由场方程出发寻找相应的变分泛函的一般方法——代入构成法。应用此法得到了一对狭义泛函。通过狭义泛函证明了本构关系是各种变分泛函的欧拉方程。
A general method of finding variational functional from the equations of
some field——the method of substitution for constituting functional——is given
mathematically. The method is used first in small dcplaccmcnt theory of elasticity. By means of this method, two new functionals ( i. c. narrow functionals) arc obtained. By virtue of the narrow functionals, it is proved that the relations of stress-strain arc the Eulcr equations of all variational functionals.
出处
《西北建筑工程学院学报（自然科学版）》
1992年第4期17-22,共6页
Journal of Northwestern Institute of Architectural Engineering
关键词
弹性理论
代入构成法
狭义泛函
the theory of elasticity, a method of substitution for constituting, narrow functional, Eulcr cqualioij, constrain condition
