Explicit–Implicit Schemes for Calculating Dynamics
of Elastoviscoplastic Media with Softening
摘要
Abstract
The paper examines the dynamic behavior of elastoviscoplastic media under the action ofan external load. For the case of a linear viscosity function and a nonlinear softening function, anexplicit–implicit calculation scheme is constructed that permits one to obtain a numerical solutionof the original semilinear hyperbolic problem. This approach does not involve the use of themethod of splitting into physical processes. Despite this, an explicit computational algorithm isobtained that can be effectively implemented on modern computing systems.