Computational homogenization of phase-field fracture

Bibliographic Details
Title: Computational homogenization of phase-field fracture
Authors: Schmidt, Felix, Schuß, Stefan, Hesch, Christian
Publication Year: 2023
Collection: Computer Science
Subject Terms: Computer Science - Computational Engineering, Finance, and Science
More Details: In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce different phase-fields on a two-scale problem and develop a thermodynamically consistent model. This allows on the one hand for the prediction of local micro-fracture patterns, which effectively acts as an anisotropic damage model on the macroscale. On the other and, the macro-fracture phase-field model allows to predict complex fracture pattern with regard to local microstructures. Both phase-fields are introduced in a common framework, such that a joint consistent linearization for the Newton-Raphson iteration can be developed. Finally, the limits of both models as well as the applicability are shown in different numerical examples.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2312.12776
Accession Number: edsarx.2312.12776
Database: arXiv
More Details
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