Anisotropic damage in quasi-brittle solids: Modelling computational issues and applications
type: Item
instance of: scholarly article
title: Anisotropic damage in quasi-brittle solids: Modelling computational issues and applications
zbMATH Open document ID: 1006.74008
DOI: 10.1016/S0045-7825(99)00225-X
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2003-03-12T00:00:00Z
review text: The authors develop a unified continuum damage model for progressive anisotropic degradation taking into account the frictional sliding over internal crack surfaces. In order to ensure the practical applicability of the model, a small number of constants are included. The modelling of multiple mesocrack growth leads to volumetric dilatancy and non-symmetrical strength effects, which allows to describe the crack closure under predominantly compressive loads. The authors consider rotating loading and damage axes with highly complex loading paths. The integration of the corresponding constitutive equations is performed by using a stable algorithm with incremental steps of initial elastic nature and plastic corrections. The material parameters are identified using a triaxial compression test with a loading path. The authors introduce a second-order tensor of orientation and decohesion surfaces which, for general anisotropy, becomes a fourth-order tensor which is able to describe the damage force as derivative of energy in the space of damage tensor components, the damage criterion, and the rate damage evolution law. The formulations are further extended to include plasticity induced by frictional blocking of crack lips. Additional potentiality arises for quasi-brittle materials. Finally, the authors give an application which concerns rock-like solids with torsion-compression.
reviewed by: M. Mişicu
Mathematics Subject Classification ID: 74A45
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 1487185
zbMATH Keywords: continuum damage model
zbMATH Keywords: progressive anisotropic degradation
zbMATH Keywords: multiple mesocrack growth
zbMATH Keywords: volumetric dilatancy
zbMATH Keywords: constitutive equations
zbMATH Keywords: triaxial compression test
zbMATH Keywords: damage force
zbMATH Keywords: derivative of energy
zbMATH Keywords: damage criterion
zbMATH Keywords: rate damage evolution law
zbMATH Keywords: plasticity
zbMATH Keywords: quasi-brittle materials
author: André Dragon
author: Damien Halm
author: Thierry Désoyer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1487185