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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Veröffentlicht in:	International journal for numerical methods in engineering Jg. 89; H. 2; S. 192 - 226
Hauptverfasser:	Nguyen, Vinh Phu, Lloberas-Valls, Oriol, Stroeven, Martijn, Sluys, Lambertus Johannes
Format:	Journal Article Verlag
Sprache:	Englisch
Veröffentlicht:	Chichester, UK John Wiley & Sons, Ltd 13.01.2012 Wiley John Wiley & sons
Schlagworte:	Anàlisi numèrica cohesive law computational homogenization Enginyeria civil Exact sciences and technology fracture Fracture mechanics Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) interface elements Matemàtiques i estadística Materials i estructures Mathematical models Mecànica de fractura Models matemàtics multiscale Mètodes en elements finits Physics quasi-brittle materials representative volume element (RVE) softening Solid mechanics Structural and continuum mechanics XFEM Àrees temàtiques de la UPC Deformation band Performance evaluation interface elements Cohesive end Modeling Microscopic theory Crack propagation fracture Continuum Finite element method Inelasticity representative volume element (RVE) Adhesive joint Cyclic load quasi-brittle materials Numerical convergence Damaging Representative volume element Rupture Homogenization Brittle material computational homogenization Heterogeneous material cohesive law Multiscale method Microstructure multiscale Crack eXtended Finite Element Method XFEM softening
ISSN:	0029-5981, 1097-0207
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Zusammenfassung:	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.
Bibliographie:	ArticleID:NME3237 ark:/67375/WNG-JHSDF881-T istex:22A45BDEFF43946925CA9989C23BD38744B7B0C3
ISSN:	0029-5981 1097-0207
DOI:	10.1002/nme.3237