TY - JOUR
T1 - A Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids
AU - Chen , Qian
AU - Li , Li
AU - Qi , Jin
AU - Zeng , Zhiqiang
AU - Tian , Baolin
AU - Liu , Tiegang
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 703
EP - 724
PY - 2022
DA - 2022/02
SN - 14
DO - http://doi.org/10.4208/aamm.OA-2020-0344
UR - https://global-sci.org/intro/article_detail/aamm/20281.html
KW - Elastic-plastic flow, cell-centered Lagrangian scheme, elastic-perfectly solid Riemann problem, wave propagation.
AB - <p style="text-align: justify;">A cell-centered Lagrangian scheme is developed for the numerical simulation of wave propagations in one dimensional (1D) elastic-plastic flow. The classical
elastic-plastic material model initially proposed by Wilkins is adopted. The linear elastic model (Hooke’s Law), perfectly plastic model and von Mises yield criterion are used
to describe the constitutive relationship of elastic-plastic solid. The second-order extension of this scheme is achieved by a linear reconstruction method. Various numerical tests are simulated to check the capability of this scheme in capturing nonlinear
elastic-plastic waves. Compared with the well-developed operator splitting method
used in simulating elastic-plastic flow, this scheme is more accurate due to the consideration of a list of 64 different types of the nonlinear elastic-plastic waves when
constructing the elastic-perfectly plastic Riemann solver. The numerical simulations of
typical examples show competitive results.</p>