NDLI: An incremental–iterative method for modeling damage evolution in voxel-based microstructure models

Content Provider	Springer Nature Link
Author	Zhu, Qi Zhi Yvonnet, Julien
Copyright Year	2014
Abstract	Numerical methods motivated by rapid advances in image processing techniques have been intensively developed during recent years and increasingly applied to simulate heterogeneous materials with complex microstructure. The present work aims at elaborating an incremental–iterative numerical method for voxel-based modeling of damage evolution in quasi-brittle microstructures. The iterative scheme based on the Lippmann–Schwinger equation in the real space domain (Yvonnet, in Int J Numer Methods Eng 92:178–205, 2012) is first cast into an incremental form so as to implement nonlinear material models efficiently. In the proposed scheme, local strain increments at material grid points are computed iteratively by a mapping operation through a transformation array, while local stresses are determined using a constitutive model that accounts for material degradation by damage. For validation, benchmark studies and numerical simulations using microtomographic data of concrete are performed. For each test, numerical predictions by the incremental–iterative scheme and the finite element method, respectively, are presented and compared for both global responses and local damage distributions. It is emphasized that the proposed incremental–iterative formulation can be straightforwardly applied in the framework of other Lippmann–Schwinger equation-based schemes, like the fast Fourier transform method.
Starting Page	371
Ending Page	382
Page Count	12
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	55
Issue Number	2
e-ISSN	14320924
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-12-16
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Incremental–iterative scheme Lippmann–Schwinger equation Tensile damage Heterogeneous materials Tomographic microstructures Theoretical and Applied Mechanics Computational Science and Engineering Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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