A first-order strain gradient damage model for simulating quasi-brittle failure in porous elastic solids

DOI10.1007/s00419-013-0729-6zbMath1293.74017OpenAlexW1970710253MaRDI QIDQ398159

Geralf Hütter, Uwe Mühlich, Lutz Zybell, Meinhard Kuna

Publication date: 12 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-013-0729-6

zbMATH Keywords

porous elastic mediastrain gradient elasticitycontinuum damage modelhigher-order homogenization

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Theories of fracture and damage (74A45) Elastic materials (74B99)

Related Items

Crack opening displacements under remote stress gradient: derivation with a canonical basis of sixth order tensors ⋮ Micromorphic homogenization of a porous medium: elastic behavior and quasi-brittle damage ⋮ A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results ⋮ Energy approach to brittle fracture in strain-gradient modelling ⋮ A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures

Uses Software

• Matlab

Cites Work

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• Estimation of material properties for linear elastic strain gradient effective media
• Constitutive equations for porous plane-strain gradient elasticity obtained by homogenization
• Elastic materials with couple-stresses
• Mixed finite element formulations of strain-gradient elasticity problems
• Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics
• An evaluation of higher-order plasticity theories for predicting size effects and localisation
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• Nichtlineare Finite-Element-Methoden
• A fast incremental/iterative solution procedure that handles “snap-through”

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