Accelerated nonlinear finite element method for analysis of isotropic hyperelastic materials nonlinear deformations

DOI10.1016/J.APM.2023.03.028zbMath1525.65096MaRDI QIDQ6072709

Guimin Chen, Xiaohui Pei, Jingli Du

Publication date: 13 October 2023

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

finite element methodstructural analysisquasi-Newton methodtotal Lagrangiansoft roboticsapproximate Jacobian matrix

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• On the limited memory BFGS method for large scale optimization
• Diagonal Hessian approximation for limited memory quasi-Newton via variational principle
• Diagonal approximation of the Hessian by finite differences for unconstrained optimization
• Hyperelastic energy densities for soft biological tissues: a review
• Total Lagrangian explicit dynamics finite element algorithm for computing soft tissue deformation
• The solution of nonlinear finite element equations
• Updating Quasi-Newton Matrices with Limited Storage
• Projective dynamics
• The Finite Element Method for Three‐Dimensional Thermomechanical Applications
• New Basic Hessian Approximations for Large-Scale Nonlinear Least-Squares Optimization

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