Loaded crack surfaces in two and three dimensions with XFEM

Markus Schätzer; Thomas Peter Fries

doi:10.1016/j.apm.2019.10.020

Loaded crack surfaces in two and three dimensions with XFEM

Markus Schätzer^*, Thomas Peter Fries

^*Corresponding author for this work

Institute of Structural Analysis (2020)

Research output: Contribution to journal › Article › peer-review

Abstract

A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

Original language	English
Pages (from-to)	863-885
Number of pages	23
Journal	Applied Mathematical Modelling
Volume	78
DOIs	https://doi.org/10.1016/j.apm.2019.10.020
Publication status	Published - Feb 2020

Keywords

Crack propagation
Critical pressure
Data transfer
Superposition

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Fields of Expertise

Information, Communication & Computing

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10.1016/j.apm.2019.10.020

Cite this

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title = "Loaded crack surfaces in two and three dimensions with XFEM",

abstract = "A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.",

keywords = "Crack propagation, Critical pressure, Data transfer, Superposition",

author = "Markus Sch{\"a}tzer and Fries, {Thomas Peter}",

year = "2020",

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doi = "10.1016/j.apm.2019.10.020",

language = "English",

volume = "78",

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journal = "Applied Mathematical Modelling",

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T1 - Loaded crack surfaces in two and three dimensions with XFEM

AU - Schätzer, Markus

AU - Fries, Thomas Peter

PY - 2020/2

Y1 - 2020/2

N2 - A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

AB - A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

KW - Crack propagation

KW - Critical pressure

KW - Data transfer

KW - Superposition

UR - http://www.scopus.com/inward/record.url?scp=85074580616&partnerID=8YFLogxK

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DO - 10.1016/j.apm.2019.10.020

M3 - Article

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VL - 78

SP - 863

EP - 885

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

ER -

Loaded crack surfaces in two and three dimensions with XFEM

Abstract

Keywords

ASJC Scopus subject areas

Fields of Expertise

Access to Document

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