Plastic variational principle based on the least work consumption principle  

作　　者：唐松花 罗迎社 周筑宝 王智超 

机构地区：[1]College of Civil Engineering and Mechanics,Xiangtan University [2]School of Civil and Architectural Engineering,Central South University [3]Institute of Rheological Mechanics & Material Engineering,Central South University of Forestry & Technology

出　　处：《Journal of Central South University》2008年第S1期39-42,共4页中南大学学报（英文版）

摘　　要：Plastic variational principles are foundation to solve the boundary-value problems of plastic mechanics with the variational method(or energy method) and finite element method.The most convenient way of establishing different kinds of variational principles is to set up the extreme principle related to the studied problem.Based on a general new extreme principle-the Least work consumption principle,the variational principles of the rigid-plastic and rigid-viscoplastic material were derived.In comparison with existing methods,the method in this paper is more clear and direct,and the physical meaning is clear-cut.This method can offer a new way for establishing other kinds of variational principles.Plastic variational principles are foundation to solve the boundary-value problems of plastic mechanics with the variational method (or energy method) and finite element method. The most convenient way of establishing different kinds of variational principles is to set up the extreme principle related to the studied problem. Based on a general new extreme principle-the Least work consumption principle, the variational principles of the rigid-plastic and rigid-viscoplastic material were derived. In comparison with existing methods, the method in this paper is more clear and direct, and the physical meaning is clear-cut. This method can offer a new way for establishing other kinds of variational principles.

关 键 词：RIGID-PLASTIC rigid-viscoplastic VARIATIONAL PRINCIPLE the least work CONSUMPTION PRINCIPLE 

分 类 号：O302[理学—力学]