Efficient and reliable nonlocal damage models

DOI10.1016/j.cma.2003.11.015zbMath1060.74592OpenAlexW2051683514MaRDI QIDQ704580

I. Morata, Antonio Rodríguez-Ferran, Antonio Huerta

Publication date: 13 January 2005

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

Full work available at URL: http://hdl.handle.net/2117/8499

zbMATH Keywords

Error estimationQuadratic convergenceAdaptivityConsistent tangent matrixQuasi-brittle materials

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)

Related Items (13)

Mesh objective modeling of cracks using continuous linear strain and displacement interpolations ⋮ An elastic plastic damage formulation for concrete: application to elementary tests and comparison with an isotropic damage model ⋮ Solving partial differential equations in computational mechanics via nonlocal numerical approaches ⋮ A general framework for softening regularisation based on gradient elasticity ⋮ Efficient numerical integration of an elastic-plastic damage law within a mixed velocity-pressure formulation ⋮ Strain localization, strong discontinuities and material fracture: matches and mismatches ⋮ Regularized finite element modeling of progressive failure in soils within nonlocal softening plasticity ⋮ A stress-return algorithm for nonlocal constitutive models of softening materials ⋮ A thermodynamic approach to non-local damage modelling of concrete ⋮ On nonlocal regularization in one-dimensional finite strain elasticity and plasticity ⋮ A global-local strategy with the generalized finite element framework for continuum damage models ⋮ The fast Gauss transform for non-local integral FE models ⋮ A new damage model based on non-local displacements

Uses Software

• KELLEY

Cites Work

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• Adaptive analysis based on error estimation for nonlocal damage models
• Locking in the incompressible limit for the element‐free Galerkin method
• Nonlocal Continuum Damage, Localization Instability and Convergence
• Surfaces Generated by Moving Least Squares Methods
• Mechanics of Solid Materials
• Comparison of nonlocal approaches in continuum damage mechanics
• Interpolation requirements for implicit gradient-enhanced continuum damage models
• Adapting Broyden method to handle linear constraints imposed via Lagrange multipliers

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