用于设计灵敏度分析的弹粘塑性边界元法

DESIGN SENSITIVITY ANALYSIS BY ELASTO-VISCOPLASTIC BEM

基于一致切线算子概念的弹粘塑性隐式边界元方法,进行了弹粘塑性设计灵敏度分析.采用了Perzyna经典粘塑性本构模型,针对包含各向同性硬化和运动硬化的混合硬化模型,导出了弹粘塑性灵敏度分析的径向返回算法和一致切线算子.利用直接微分的方法,建立了设计灵敏度分析的弹粘塑性边界元增量方程,导出了弹粘塑性径向返回的灵敏度公式.给出了在不同粘塑性流动参数下的三个典型算例的结果,与ANSYS结果相吻合,证明了方法是正确的.

This paper presents a consistent tangent operator （CTO） concept-based boundary element implicit algorithm for elasto-viscoplastic sensitivity analysis. For elasto-viscoplastic materials with mixed hardening model and two common flow functions, the related elasto-viscoplastic radial return algorithm （RRA） and the elasto-viscoplastic CTO are developed. The elastic viscoplastic sensitivity analysis is presented by the direct differentiation approach. Then,an incremental boundary integral equation for elasto-viscoplastic sensitivity analysis is derived. Finally, three numerical examples, with comparison of the results from finite element code ANSYS,are provided.