Refined schemes for computing the dynamics of elastoviscoplastic media

DOI10.1134/s0965542523100032zbMath1528.74020MaRDI QIDQ6148210

I. S. Nikitin, V. I. Golubev

Publication date: 11 January 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

mathematical modelingsemilinear hyperbolic systemselastoviscoplastic mediahigh-order explicit-implicit schemes

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20)

Cites Work

• Definition and weak stability of nonconservative products
• Construction of difference schemes with positive approximation for hyperbolic equations
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• Plane Waves in an Elastic-Plastic Half-Space Due to Combined Surface Pressure and Shear
• Plastic wave propagation in a bar of material exhibiting a strain rate effect
• A Godunov-type method in dynamics of elastoplastic media
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