Computational Homogenization of Defect Driving Forces

Ricker S, Mergheim J, Steinmann P (2009)


Publication Type: Conference contribution

Publication year: 2009

Edited Volumes: IUTAM Bookseries

Pages Range: 249-259

Conference Proceedings Title: Proceedings of the IUTAM Symposium on Progress in the Theory and Numerics of Configuration Mechanics (peer reviewed)

Event location: Erlangen, Germany DE

DOI: 10.1007/978-90-481-3447-2_23

Abstract

Due to the fact that many engineeringmaterials and also biological tissues possess an underlying (heterogeneous)micro-structure it is not sufficient to simulate these materials by pre-assumed overall constitutive assumptions. Therefore, we apply a homogenization scheme, which determines the macroscopicmaterial behavior based on analysis of the underlying micro-structure. In the work at hand focus is put on the extension of the classical computational homogenization scheme towards the homogenization of material forces. Therefore, volume forces have to incorporated which may emerge due to inhomogeneities in the material. With assistance of this material formulation and the equivalence of the J-integral and the material force at a crack tip, studies on the influence of the micro-structure onto the macroscopic crack-propagation are carried out. © Springer Science+Business Media B.V. 2009.

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How to cite

APA:

Ricker, S., Mergheim, J., & Steinmann, P. (2009). Computational Homogenization of Defect Driving Forces. In Proceedings of the IUTAM Symposium on Progress in the Theory and Numerics of Configuration Mechanics (peer reviewed) (pp. 249-259). Erlangen, Germany, DE.

MLA:

Ricker, Sarah, Julia Mergheim, and Paul Steinmann. "Computational Homogenization of Defect Driving Forces." Proceedings of the IUTAM Symposium 08-6, Erlangen, Germany 2009. 249-259.

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