Journal
COMPUTATIONAL MECHANICS
Volume 63, Issue 5, Pages 1019-1046Publisher
SPRINGER
DOI: 10.1007/s00466-018-1635-0
Keywords
Numerical crack approximation; Brittle fracture mechanics; Phase-field method; Dynamic fracture
Funding
- German Research Foundation [KA 1163/19]
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Phase-field crack approximation relies on the proper definition of the crack driving strain energy density to govern the crack evolution and a realistic model for the modified stresses on the crack surface. A novel approach, the directional split, is introduced, analyzed and compared to the two commonly used formulations, which are the spectral split and the volumetric-deviatoric split. The directional split is based on the decomposition of the stress tensor with respect to the crack orientation, specified by a local crack coordinate system, into crack driving and persistent components. Accordingly, a modified stress strain relation is proposed to model fundamental crack characteristics properly, and a thermodynamically consistent crack driving strain energy density is postulated. The split is applied to numerical examples of initially cracked specimens and compared to results obtained by the two standard approaches.
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