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粘塑性分析的复变边界积分方程解
引用本文:唐寿高,曹志远.粘塑性分析的复变边界积分方程解[J].同济大学学报(自然科学版),1997,25(3):293-299.
作者姓名:唐寿高  曹志远
作者单位:同济大学工程力学与技术系!上海,200092,同济大学工程力学与技术系!上海,200092
基金项目:高等学校博士点专项基金
摘    要:提出基于初应变率的二维粘塑性分析的复变边界积分方程一般表达式,并以Hart粘塑性本构模型为例进行复变边界元分析。分析表明,本方法公式乘法统一,程序通用且不依赖于特定的基本解。由于针对具体问题可调用相应的复位势基本解,从而省去了许多本来要划分的单元,提高了计算效率。

关 键 词:粘塑性  复变函数  边界积分方程

Complex Boundary Integral Equation Solution for Viscoplastic Analysis
Tang Shougao,Cao Zhiyuan.Complex Boundary Integral Equation Solution for Viscoplastic Analysis[J].Journal of Tongji University(Natural Science),1997,25(3):293-299.
Authors:Tang Shougao  Cao Zhiyuan
Abstract:In this paper, a general formulation of complex boundary integral equation for 2D viscoplastic problem based on initial strain rates is presented. And complex BEM analysis, which takes the constitutive model due to Hart as an example, is carried out. Compared with conventional BEM, there are some advantages of the present method such as simplicity and unification of formulations, simplification and general purpose of computer program, and being independent of fundamental solutions, etc. As suitable complex fundamental solutions which satisfy the boundary conditions on some part of the boundary and therefore no discretization is needed over that boundary can be chosen, more accurate results can be expected by employing less boundary elements.
Keywords:Viscoplasticity  Complex variables  Boundary integral equation
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