Damage modeling employing strain gradient continuum theory

A damage model for quasi-brittle materials embedded into the two dimensional C1 continuity triangular finite element formulation based on the strain gradient continuum theory is considered. The isotropic damage law is applied to the higher-order stress-strain constitutive model, which enables the an...

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Bibliographic Details
Published in:International journal of solids and structures 2017-08, Vol.120, p.171-185
Main Authors: Putar, Filip, Sorić, Jurica, Lesičar, Tomislav, Tonković, Zdenko
Format: Article
Language:English
Subjects:
Brittle materials
C1 continuity finite element
Computer simulation
Damage
Damage assessment
Deformation
Finite element analysis
Finite element method
Heterogeneous material
Mathematical analysis
Quasi-brittle damage
Regularization
Strain
Strain gradient theory
Stress-strain curves
Studies
Subroutines
Two dimensional models
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Summary:A damage model for quasi-brittle materials embedded into the two dimensional C1 continuity triangular finite element formulation based on the strain gradient continuum theory is considered. The isotropic damage law is applied to the higher-order stress-strain constitutive model, which enables the analysis of both homogeneous and heterogeneous materials. Such softening formulation also ensures a decrease of the intensity of the material nonlocality associated with the damage growth, which is necessary for the correct description of the narrow localized deformation. In order to obtain the required constitutive matrices, the second-order homogenization procedure is applied to the various representative volume elements in the frame of a multiscale approach. The derived finite element formulation is implemented into the finite element program ABAQUS by means of user subroutines. The superior regularization capabilities, as well as the accuracy and efficiency of the proposed higher-order gradient damage model are demonstrated by the standard benchmark examples.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2017.04.039