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Numerical Solution Strategies for a Dynamic Phase Field Fracture Model

Schlüter, Alexander ; Kuhn, Charlotte ; Noll, Timo ; Diewald, Felix ; Müller, Ralf (2017)
Numerical Solution Strategies for a Dynamic Phase Field Fracture Model.
In: Applied Mechanics and Materials, 869
doi: 10.4028/www.scientific.net/AMM.869.29
Article, Bibliographie

Abstract

This work discusses the efficiency of six strategies for the numerical solution of the coupled system of partial differential equations that arise from a phase field description of dynamic brittle fracture. Efficient numerical treatment of the dynamic phase field fracture model is a prerequisite for the simulation of failure due to brittle fracture in realistic scenarios such as manufacturing. Three monolithic as well as three staggered solution strategies for the nonlinear coupled system of field equations discretized by finite element are outlined and their performance is studied in two benchmark problems.

Item Type: Article
Erschienen: 2017
Creators: Schlüter, Alexander ; Kuhn, Charlotte ; Noll, Timo ; Diewald, Felix ; Müller, Ralf
Type of entry: Bibliographie
Title: Numerical Solution Strategies for a Dynamic Phase Field Fracture Model
Language: English
Date: August 2017
Publisher: Trans Tech Publ.
Journal or Publication Title: Applied Mechanics and Materials
Volume of the journal: 869
DOI: 10.4028/www.scientific.net/AMM.869.29
URL / URN: https://www.scientific.net/AMM.869.29
Abstract:

This work discusses the efficiency of six strategies for the numerical solution of the coupled system of partial differential equations that arise from a phase field description of dynamic brittle fracture. Efficient numerical treatment of the dynamic phase field fracture model is a prerequisite for the simulation of failure due to brittle fracture in realistic scenarios such as manufacturing. Three monolithic as well as three staggered solution strategies for the nonlinear coupled system of field equations discretized by finite element are outlined and their performance is studied in two benchmark problems.

Divisions: 13 Department of Civil and Environmental Engineering Sciences
13 Department of Civil and Environmental Engineering Sciences > Mechanics
13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics
Date Deposited: 04 May 2022 12:24
Last Modified: 04 May 2022 12:24
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