GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS

1996/10/15 by R.H.J. Peerlings, R. H. J. PEERLINGS, R. DE BORST +5 · 11 citations
Materials Science · Engineering · #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods in engineering #Rock Mechanics and Modeling

paper · doi:10.1002/(sici)1097-0207(19961015)39:19<3391::aid-nme7>3.0.co;2-d

Abstract

Conventional continuum damage descriptions of material degeneration suffer from loss of well-posedness beyond a certain level of accumulated damage. As a consequence, numerical solutions are obtained which are unacceptable from a physical point of view. The introduction of higher-order deformation gradients in the constitutive model is demonstrated to be an adequate remedy to this deficiency of standard damage models. A consistent numerical solution procedure of the governing partial differential equations is presented, which is shown to be capable of properly simulating localization phenomena.

Citations

• Nonlocal Continuum Damage, Localization Instability and Convergence

Cited by

• A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns
• Topology optimization of structures under variable loading using a damage superposition approach
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• Gradient damage models: Toward full-scale computations
• Strain-based transient-gradient damage model for failure analyses
• Numerical aspects of the crack band approach
• A topology optimization procedure for reinforced concrete structures
• A nonlocal softening plasticity based on microplane theory for concrete at finite strains
• A Hybrid-High Order method for fracture modelling
• Capturing the fractocohesive length scale through a gradient-enhanced damage model for elastomers
• Meso-scale approach to modelling the fracture process zone of concrete subjected to uniaxial tension

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