自弹塑性力学的广义变分原理问世以来,如何将塑性增量理论(塑性流动理论)的变分原理和广义变分原理写成更加规范的形式,一直是塑性力学专家和变分原理专家努力的方向.该文借助弹塑性本构关系研究的新进展,按照广义力和广义位移之间的对应关系,将塑性增量理论的基本方程乘上相应的虚量,然后积分,并代数相加,进而推导出了形式规范的塑性增量理论的变分原理和广义变分原理.
Since the generalized variational principle of elasto-plastic mechanics was developed, it has been a problem for scientists and researchers to incorporate these variational principles with plastic flow theory of more standard forms. In this paper the latest developments in elasto-plastic constitutive theory and under- standings of the relationship between general force and general displacement are applied, and the equilibri-um and geometrical equations for plastic flow theory were multiplied by related virtual quantities, then integration was made with respect to volume and area, and finally an algebraic addition was performed.