A fracture-controlled path-following technique for phase-field modeling of brittle fracture

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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 languageEnglish
Pages (from-to)14-29
Number of pages16
JournalFinite Elements in Analysis and Design
Volume113
DOIs
Publication statusPublished - 1 Jun 2016

Fingerprint

Brittle Fracture
Path Following
Phase Field
Brittle fracture
Modeling
Surface area
Decoupling
Elasticity
Damage
Propagation
Robustness
Numerical Results
Path
Series
Demonstrate
Simulation

Keywords

  • Brittle fracture
  • Path-following methods
  • Phase-field modeling
  • Staggered solution procedures

Cite this

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title = "A fracture-controlled path-following technique for phase-field modeling of brittle fracture",
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.",
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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 journalArticleAcademicpeer-review

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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.

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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

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