天然橡胶介质三维粘弹性问题边界元分析(I)——理论分析和基本方程建立

BEM Analyses of 3D Elsto-Plasticity Concerning Natural Rubber Media

应用边界元理论对天然橡胶介质三维粘弹性问题进行理论分析,建立空间边界(Γ)上基本方程、空间区域(Ω)内基本方程、对区域(Ω)内存在的强奇异积分做有效处理,得出能够通过高斯积分求解的基本方程,为下一步进行基本方程的数值化、计算机数值计算提供理论依据。

This paper analyzes the problems of 3D elasto-plasticity concerning natural rubber media according to boundary element methods (EBM) theory, creates fundamental solution equation at surface and integral domain, and educes integration of Strongly Singular Domain integrals. The integral is readily calculated numerically by using standard Gauss integral theory and is expected to provide theoretical foundation for the development of general-purpose computer code.