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A regularized phenomenological multiscale damage model
Author(s) -
Liu Yang,
Filonova Vasilina,
Hu Nan,
Yuan Zifeng,
Fish Jacob,
Yuan Zheng,
Belytschko Ted
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4705
Subject(s) - homogenization (climate) , orthotropic material , regularization (linguistics) , phenomenological model , salient , fracture mechanics , continuum mechanics , softening , constitutive equation , finite element method , mathematics , multiscale modeling , statistical physics , computer science , mechanics , physics , structural engineering , engineering , artificial intelligence , biodiversity , ecology , statistics , biology , computational chemistry , chemistry
SUMMARY We present a regularized phenomenological multiscale model where elastic properties are computed using direct homogenization and subsequently evolved using a simple three‐parameter orthotropic continuum damage model. The salient feature of the model is a unified regularization framework based on the concept of effective softening strain. The unified regularization scheme has been employed in the context of constitutive law rescaling and the staggered nonlocal approach. We show that an element erosion technique for crack propagation when exercised with one of the two regularization schemes (1) possesses a characteristic length, (2) is consistent with fracture mechanics approach, and (3) does not suffer from pathological mesh sensitivity. Copyright © 2014 John Wiley & Sons, Ltd.