On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity

DOI10.1016/j.cma.2019.112622zbMath1441.74037OpenAlexW2977001942WikidataQ127181060 ScholiaQ127181060MaRDI QIDQ1989077

Andrew J. Brennan, Tim J. Charlton, Jonathan A. Knappett, Lei Wang, Charles E. Augarde, Michael J. Brown, William M. Coombs, Yousef Ghaffari Motlagh

Publication date: 24 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.112622

zbMATH Keywords

elasto-plasticityLagrangian mechanicsmaterial point methodfinite deformation mechanicsgeneralised interpolation

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Numerical and other methods in solid mechanics (74S99)

Related Items (9)

An improved quadrature scheme in B-spline material point method for large-deformation problem analysis ⋮ An intelligent nonlinear meta element for elastoplastic continua: deep learning using a new time-distributed residual U-net architecture ⋮ Ghost stabilisation of the material point method for stable quasi‐static and dynamic analysis of large deformation problems ⋮ Fracture modeling by the eigenfracture approach for the implicit material point method framework ⋮ Improved SNS-PFEM framework with dual mortar method to model geotechnical large deformation contact problems ⋮ On the derivation of a component-free scheme for Lagrangian fluid-structure interaction problems ⋮ A conservation law consistent updated Lagrangian material point method for dynamic analysis ⋮ An implicit material point method for micropolar solids undergoing large deformations ⋮ A subdivision-stabilized B-Spline mixed material point method

Uses Software

• MILAMIN

Cites Work

• Material point method enhanced by modified gradient of shape function
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• Nonlinear Solid Mechanics
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• A weighted least squares particle-in-cell method for solid mechanics
• Comparison of two algorithms for the computation of fourth-order isotropic tensor functions
• Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method

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