On a solution strategy for energy-based mesh optimization in finite hyperelastostatics

DOI10.1016/j.cma.2007.08.005zbMath1169.74666OpenAlexW2132948753MaRDI QIDQ839233

N. E. Zubov

Publication date: 1 September 2009

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.2007.08.005

zbMATH Keywords

energy minimizationbarrier methodconfigurational forceshyperelasticityr-adaptivity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Numerical and other methods in solid mechanics (74S99)

Related Items (6)

Numerical simulation of fracking in shale rocks: current state and future approaches ⋮ An integrated approach to shape optimization and mesh adaptivity based on material residual forces ⋮ Three-dimensional brittle fracture: configurational-force-driven crack propagation ⋮ Adaptive configurational force‐based propagation for brittle and fatigue crack analysis ⋮ Isogeometric design of anisotropic shells: optimal form and material distribution ⋮ Energy consistent framework for continuously evolving 3D crack propagation

Cites Work

• On material forces and finite element discretizations
• Optimization of finite element grids by direct energy search
• Use of material forces in adaptive finite element methods
• An ALE formulation based on spatial and material settings of continuum mechanics. I: Generic hyperelastic formulation
• An ALE formulation based on spatial and material settings of continuum mechanics. II: Classification and applications
• An approach to nonlinear programming
• Nichtlineare Finite-Element-Methoden
• A Performance Study on Configurational Force and Spring-Analogy Based Mesh Optimization Schemes
• On the numerical implementation of variational arbitrary Lagrangian–Eulerian (VALE) formulations
• On configurational forces in the context of the finite element method
• An arbitrary Lagrangian-Eulerian finite element method for finite strain plasticity
• The gradient of the finite element variational indicator with respect to nodal and applications in fracture mechanics and mesh optimization
• A variational r‐adaption and shape‐optimization method for finite‐deformation elasticity
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