Abstract
In the phase-field description of brittle fracture, the fracture-surface area can be expressed as a functional of the phase field (or damage field). In this work we study the applicability of this explicit expression as a (non-linear) path-following constraint to robustly track the equilibrium path in quasi-static fracture propagation simulations, which can include snap-back phenomena. Moreover, we derive a fracture-controlled staggered solution procedure by systematic decoupling of the path-following controlled elasticity and phase-field problems. The fracture-controlled monolithic and staggered solution procedures are studied for a series of numerical test cases. The numerical results demonstrate the robustness of the new approach, and provide insight in the advantages and disadvantages of the monolithic and staggered procedures.
| Original language | English |
|---|---|
| Pages (from-to) | 14-29 |
| Number of pages | 16 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 113 |
| DOIs | |
| Publication status | Published - 1 Jun 2016 |
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Keywords
- Brittle fracture
- Path-following methods
- Phase-field modeling
- Staggered solution procedures
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A fracture-controlled path-following technique for phase-field modeling of brittle fracture. / Singh, N.; Verhoosel, C.V.; De Borst, R.; Van Brummelen, E.H.
In: Finite Elements in Analysis and Design, Vol. 113, 01.06.2016, p. 14-29.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - A fracture-controlled path-following technique for phase-field modeling of brittle fracture
AU - Singh, N.
AU - Verhoosel, C.V.
AU - De Borst, R.
AU - Van Brummelen, E.H.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - In the phase-field description of brittle fracture, the fracture-surface area can be expressed as a functional of the phase field (or damage field). In this work we study the applicability of this explicit expression as a (non-linear) path-following constraint to robustly track the equilibrium path in quasi-static fracture propagation simulations, which can include snap-back phenomena. Moreover, we derive a fracture-controlled staggered solution procedure by systematic decoupling of the path-following controlled elasticity and phase-field problems. The fracture-controlled monolithic and staggered solution procedures are studied for a series of numerical test cases. The numerical results demonstrate the robustness of the new approach, and provide insight in the advantages and disadvantages of the monolithic and staggered procedures.
AB - In the phase-field description of brittle fracture, the fracture-surface area can be expressed as a functional of the phase field (or damage field). In this work we study the applicability of this explicit expression as a (non-linear) path-following constraint to robustly track the equilibrium path in quasi-static fracture propagation simulations, which can include snap-back phenomena. Moreover, we derive a fracture-controlled staggered solution procedure by systematic decoupling of the path-following controlled elasticity and phase-field problems. The fracture-controlled monolithic and staggered solution procedures are studied for a series of numerical test cases. The numerical results demonstrate the robustness of the new approach, and provide insight in the advantages and disadvantages of the monolithic and staggered procedures.
KW - Brittle fracture
KW - Path-following methods
KW - Phase-field modeling
KW - Staggered solution procedures
UR - http://www.scopus.com/inward/record.url?scp=84955593006&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2015.12.005
DO - 10.1016/j.finel.2015.12.005
M3 - Article
AN - SCOPUS:84955593006
VL - 113
SP - 14
EP - 29
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
ER -