A new numerical implementation of a second-gradient model for plastic porous solids, with an application to the simulation of ductile rupture tests

DOI10.1016/J.CMA.2013.09.006zbMath1295.74098OpenAlexW2004800975MaRDI QIDQ741906

Gilles Perrin, Jean-Michel Bergheau, Jean-Baptiste Leblond

Publication date: 16 September 2014

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

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01434742/file/Bergheau_2014_A_new_numerical.pdf

zbMATH Keywords

numerical implementationductile rupturesecond-gradient modelsimulation of rupture tests

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (8)

Prediction of shear-dominated ductile fracture in a butterfly specimen using a model of plastic porous solids including void shape effects ⋮ Some new applications of a second-gradient model for porous ductile materials ⋮ An enhanced damaged plasticity model for concrete under cyclic and monotonic triaxial compression ⋮ Ductile void growing in micromorphic GLPD porous plastic solids containing two populations of cavities with different sizes ⋮ Finite-deformation second-order micromorphic theory and its relations to strain and stress gradient models ⋮ Analytical elastic-plastic analyses of a spherical shell subjected to hydrostatic tension based on a strain gradient model for plastic metals ⋮ Microdamage modelling of crack initiation and propagation in FCC single crystals under complex loading conditions ⋮ Constitutive relations and their time integration for anisotropic elasto-plastic porous materials

Cites Work

• Effects of nonlocal damage in porous plastic solids
• A simplified second-gradient model for dilatant materials: theory and numerical implementation
• Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture
• Numerical implementation and assessment of a phenomenological nonlocal model of ductile rupture
• One-dimensional localisation studied with a second grade model
• Bifurcation Effects in Ductile Metals With Nonlocal Damage
• Large strain finite element analysis of a local second gradient model: application to localization
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