A model for brittle fracture based on the hybrid phase field model-Reference-Cited by-同舟云学术

A model for brittle fracture based on the hybrid phase field model

Published:2011-11-05 Issue:4-6 Volume:24 Page:391-402
ISSN:0935-1175
Container-title:Continuum Mechanics and Thermodynamics
language:en
Short-container-title:Continuum Mech. Thermodyn.

Author:

Alber Hans-Dieter

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,Mechanics of Materials,General Materials Science

Link

http://link.springer.com/content/pdf/10.1007/s00161-011-0211-z.pdf

Reference11 articles.

1. Alber H.-D.: Evolving microstructure and homogenization. Continuum Mech. Thermodyn. 12, 235–286 (2000)

2. Alber H.-D., Zhu P.: Solutions to a model with nonuniformly parabolic terms for phase evolution driven by configurational forces. SIAM J. Appl. Math. 66(2), 680–699 (2006)

3. Alber H.-D., Zhu P.: Evolution of phase boundaries by configurational forces. Arch. Ration. Mech. Anal. 185(2), 235–286 (2007)

4. Alber H.-D., Zhu P.: Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model. Continuum Mech. Thermodyn. 23(2), 139–176 (2011)

5. Alber, H.-D., Zhu, P.: Comparison of a rapidly converging phase field model for interfaces in solids with the Allen-Cahn model. Submitted. Online available: Preprint Nr. 2631, June 2011, Fachbereich Mathematik, Technische Universität. Darmstadt

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1. A geometrically nonlinear phase field theory of brittle fracture;International Journal of Fracture;2014-08-19

2. Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture;International Journal for Numerical Methods in Engineering;2014-07-03