Continuum Mechanics and Thermodynamics

, Volume 29, Issue 4, pp 935–945 | Cite as

A high-order finite deformation phase-field approach to fracture

Original Article
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Abstract

Phase-field approaches to fracture allow for convenient and efficient simulation of complex fracture pattern. In this paper, two variational formulations of phase-field fracture, a common second-order model and a new fourth-order model, are combined with a finite deformation ansatz for general nonlinear materials. The material model is based on a multiplicative decomposition of the principal stretches in a tensile and a compressive part. The excellent performance of the new approach is illustrated in classical numerical examples.

Keywords

Finite deformations High-order phase-field model Isogeometric analysis Fracture mechanics 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Chair of Solid Mechanics, Institute of Mechanics and ControlUniversity of SiegenSiegenGermany
  2. 2.Institute of MechanicsKarlsruhe Institute of Technology (KIT)KarlsruheGermany

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