爆炸与冲击2024，Vol.44Issue(8)：72-81,10.DOI:10.11883/bzycj-2024-0004
一维理想弹塑性体的SPH-HLLC耦合算法
SPH-HLLC coupled method for one-dimentional elastic-perfectly plastic model
王展铭 1陈龙奎 1黄生洪1
作者信息
- 1. 中国科学技术大学工程科学学院材料力学行为与设计重点实验室,安徽 合肥 230026
- 折叠
摘要
Abstract
A 1D SPH(smoothed particle hydrodynamics)and approximate HLLC(Harten-Lax-van Leer-contact)Riemann solver coupled method for elastic-perfectly plastic model is proposed through elastic and plastic wave analysis.In SPH simulations,each particle pair in the supporting domain generates a Riemann problem,whose solutions are substituted into governing equations.The philosophy of HLLC approximate Riemann solver is to divide the procedure into three steps:assume the whole state in elastic deformation and compute Riemann problem,and then reconstruct flux under von Mises yielding conditions and compute the final HLLC Riemann solution with reconstructed fluxes.We compare the new SPH-HLLC method with the traditional SPH method in several numerical tests,which show that this method can effectively simulate collision and reflected rarefaction waves between the materials,and it can profoundly suppress oscillations of pressure and deviatoric stress at contact interface between different materials,which the traditional SPH method finds difficult to realize.Moreover,the new SPH-HLLC scheme shows better energy performance than the traditional SPH method in 2D test case where initial kinetic energy is successfully transformed into internal energy with new SPH-HLLC scheme while total energy significantly decreases with time using the traditional SPH method.关键词
弹塑性数值模拟/固体碰撞/SPH黎曼耦合算法Key words
elastic-plastic numerical simulation/solid collision/SPH-Riemann scheme分类
数理科学引用本文复制引用
王展铭,陈龙奎,黄生洪..一维理想弹塑性体的SPH-HLLC耦合算法[J].爆炸与冲击,2024,44(8):72-81,10.
