Computational homogenisation of phase-field fracture
Artikel i vetenskaplig tidskrift, 2021

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.

macro-homogeneity

homogenisation

phase-field fracture

multi-scale

Författare

Ritukesh Bharali

Chalmers, Industri- och materialvetenskap, Material- och beräkningsmekanik

Fredrik Larsson

Chalmers, Industri- och materialvetenskap, Material- och beräkningsmekanik

Ralf Jänicke

Chalmers, Industri- och materialvetenskap, Material- och beräkningsmekanik

European Journal of Mechanics, A/Solids

0997-7538 (ISSN)

Vol. 88

Modellering av krackning i grund orsakad av klimatändring

Formas, 2019-01-01 -- 2022-12-31.

Ämneskategorier

Teknisk mekanik

DOI

10.1016/j.euromechsol.2021.104247

Mer information

Senast uppdaterat

2021-02-24