非线性弹性体的弹性动力学变分原理
Elastic Dynamics Variational Principle for Nonlinear Elastic Body
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摘要: 本文根据文献[1],对非线性应力应变关系的弹性体,导出了弹性动力学问题的变分原理和广义变分原理,提出了混合位移协调元和混合应力协调元的瞬时广义变分原理.Abstract: Based on paper [1],the variational principle and generalized variational principle of elastic dynamics for elastic body with nonlinear stress-strain relations are introduced in this paper.The generalized instantaneous variational principle is also raised for the mixed harmonious displacement element and the mixed harmonious stress element.
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Key words:
- variational principles /
- elastic dynamics /
- nonlinear elastic mechanics
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[1] 钱伟长,非线性弹性体的弹性力学变分原理,应用数学和力学,8(7)(1987),567-577. [2] 张汝清、何显勇,线性结构动应力分析的两种广义变分原理及混合有限元,重庆大学学报,11(11)(1988),11-17. -
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