摘要
非线性弹塑性力学的变分不等式原理是解决金属塑性加工中非线性问题的有效的、合理的理论基础针对带Ｃｏｕｌｏｍｂ摩擦约束的塑性形变理论引进Ｌａｇｒａｎｇｅ乘子，从最小势能的角度出发构造了考虑摩擦效应这一能导致变分不等形式的广义能量泛函，把一般的有条件的变分原理化为无条件的变分原理来唯一确定，并且得出了Ｌａｇｒａｎｇｅ乘子所代表的物理意义。
The generalized variational inequality in nonlinear elastoplasticity provides a reasonable,effective theoretical basis for analysing nonlinear problems in metal plastic forming.By adopting Lagrange multiplier and based on functional extremum,the generalized energy function is constructed concerning the deformation theory in plasticity with frictional constraint,which can result in variational inequality and relax the constraint conditions to non-conditional restrictions and definite physical represent of Lagrange multipliers.It will form the generalized variational inequality theory on plasticity deformation theory subject to Coulomb friction.
出处
《南昌大学学报（工科版）》
CAS
1999年第2期1-7,共7页
Journal of Nanchang University(Engineering & Technology)
基金
江西省自然科学基金
国家自然科学基金
关键词
摩擦约束
塑性形变理论
广义变分不等式
frictional constraint,deformation theory in plasticity,the generalized variational inequality
