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Computational homog...
Computational homogenisation of phase-field fracture
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- Bharali, Ritukesh, 1991 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Larsson, Fredrik, 1975 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Jänicke, Ralf, 1980 (author)
- Technische Universität Braunschweig
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(creator_code:org_t)
- Elsevier BV, 2021
- 2021
- English.
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In: European Journal of Mechanics, A/Solids. - : Elsevier BV. - 0997-7538. ; 88
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Abstract
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- In this manuscript, the computational homogenisation of phase-field fractures is addressed. To this end, a variationally consistent two-scale phase-field fracture framework is developed, which formulates the coupled momentum balance and phase-field evolution equations at the macro-scale as well as at the Representative Volume Element (RVE) scale. The phase-field variable represent fractures at the RVE scale, however, at the macro-scale, it is treated as an auxiliary variable. The latter interpretation follows from the homogenisation of the phase-field through volume or a surface-average. For either homogenisation choices, the set of macro-scale and sub-scale equations, and the pertinent macro-homogeneity satisfying boundary conditions are established. As a special case, the concept of selective homogenisation is introduced, where the phase-field is chosen to live only in the RVE domain, thereby eliminating the macro-scale phase-field evolution equation. Numerical experiments demonstrate the local macro-scale material behaviour of the selective homogenisation based two-scale phase-field fracture model, while its non-selective counterpart yields a non-local macro-scale material behaviour.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
Keyword
- homogenisation
- multi-scale
- phase-field fracture
- macro-homogeneity
Publication and Content Type
- art (subject category)
- ref (subject category)
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