Computational homogenization for multiscale crack modeling. Implementational and computational aspects

SUMMARY A computational homogenization procedure for cohesive and adhesive crack modeling of materials with a heterogeneous microstructure has been recently presented in Computer Methods in Applied Mechanics and Engineering (2010, DOI:10.1016/j.cma.2010.10.013). The macroscopic material properties o...

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Vydáno v:International journal for numerical methods in engineering Ročník 89; číslo 2; s. 192 - 226
Hlavní autoři: Nguyen, Vinh Phu, Lloberas-Valls, Oriol, Stroeven, Martijn, Sluys, Lambertus Johannes
Médium: Journal Article Publikace
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 13.01.2012
Wiley
John Wiley & sons
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ISSN:0029-5981, 1097-0207
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Shrnutí:SUMMARY A computational homogenization procedure for cohesive and adhesive crack modeling of materials with a heterogeneous microstructure has been recently presented in Computer Methods in Applied Mechanics and Engineering (2010, DOI:10.1016/j.cma.2010.10.013). The macroscopic material properties of the cohesive cracks are obtained from the inelastic deformation manifested in a localization band (modeled with a continuum damage theory) at the microscopic scale. The macroscopic behavior of the adhesive crack is derived from the response of a microscale sample representing the microstructure inside the adhesive crack. In this manuscript, we extend the theory presented in Computer Methods in Applied Mechanics and Engineering (2010, DOI:10.1016/j.cma.2010.10.013) with implementation details, solutions for cyclic loading, crack propagation, numerical analysis of the convergence characteristics of the multiscale method, and treatment of macroscopic snapback in a multiscale simulation. Numerical examples including crack growth simulations with extended finite elements are given to demonstrate the performance of the method. Copyright © 2011 John Wiley & Sons, Ltd.
Bibliografie:ArticleID:NME3237
ark:/67375/WNG-JHSDF881-T
istex:22A45BDEFF43946925CA9989C23BD38744B7B0C3
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.3237