Phase-field modeling of fracture in linear thin shells

F. Amiri; D. Millán; Y. Shen; T. Rabczuk; M. Arroyo

doi:10.1016/j.tafmec.2013.12.002

Phase-field modeling of fracture in linear thin shells

F. Amiri, D. Millán, Y. Shen, T. Rabczuk, M. Arroyo

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

266 Citations (Scopus)

Abstract

We present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.

Original language	English
Pages (from-to)	102-109
Number of pages	8
Journal	Theoretical and Applied Fracture Mechanics
Volume	69
DOIs	https://doi.org/10.1016/j.tafmec.2013.12.002
Publication status	Published - 2014 Feb

Bibliographical note

Funding Information:
D.M. and M.A. acknowledge the support of the European Research Council under the European Community’s 7th Framework Programme (FP7/2007–2013)/ERC grant agreement no. 240487. M.A. acknowledges the support received through the prize “ICREA Academia” for excellence in research, funded by the Generalitat de Catalunya. F.A. and T.R. would like to thank the DAAD Programme des Projektbezogenen Personenaustauschs, for financial support to trip to Spain, and the Free State of Thuringia and Bauhaus Research School for financial support during the duration of this project. Y.S. would like to acknowledge the support of the grant from Subprograma Acciones Integradas España-Alemania (Spanish Ministry of Science and Innovation) with reference number PRI-AIBDE-2011-0883.

Keywords

Local maximum entropy
Manifold learning
Meshfree method
Phase-field model
Point-set surfaces
Thin shells

ASJC Scopus subject areas

General Materials Science
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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10.1016/j.tafmec.2013.12.002

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title = "Phase-field modeling of fracture in linear thin shells",

abstract = "We present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.",

keywords = "Local maximum entropy, Manifold learning, Meshfree method, Phase-field model, Point-set surfaces, Thin shells",

author = "F. Amiri and D. Mill{\'a}n and Y. Shen and T. Rabczuk and M. Arroyo",

note = "Funding Information: D.M. and M.A. acknowledge the support of the European Research Council under the European Community{\textquoteright}s 7th Framework Programme (FP7/2007–2013)/ERC grant agreement no. 240487. M.A. acknowledges the support received through the prize “ICREA Academia” for excellence in research, funded by the Generalitat de Catalunya. F.A. and T.R. would like to thank the DAAD Programme des Projektbezogenen Personenaustauschs, for financial support to trip to Spain, and the Free State of Thuringia and Bauhaus Research School for financial support during the duration of this project. Y.S. would like to acknowledge the support of the grant from Subprograma Acciones Integradas Espa{\~n}a-Alemania (Spanish Ministry of Science and Innovation) with reference number PRI-AIBDE-2011-0883.",

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month = feb,

doi = "10.1016/j.tafmec.2013.12.002",

language = "English",

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AU - Amiri, F.

AU - Millán, D.

AU - Shen, Y.

AU - Rabczuk, T.

AU - Arroyo, M.

N1 - Funding Information: D.M. and M.A. acknowledge the support of the European Research Council under the European Community’s 7th Framework Programme (FP7/2007–2013)/ERC grant agreement no. 240487. M.A. acknowledges the support received through the prize “ICREA Academia” for excellence in research, funded by the Generalitat de Catalunya. F.A. and T.R. would like to thank the DAAD Programme des Projektbezogenen Personenaustauschs, for financial support to trip to Spain, and the Free State of Thuringia and Bauhaus Research School for financial support during the duration of this project. Y.S. would like to acknowledge the support of the grant from Subprograma Acciones Integradas España-Alemania (Spanish Ministry of Science and Innovation) with reference number PRI-AIBDE-2011-0883.

PY - 2014/2

Y1 - 2014/2

N2 - We present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.

AB - We present a phase-field model for fracture in Kirchoff-Love thin shells using the local maximum-entropy (LME) meshfree method. Since the crack is a natural outcome of the analysis it does not require an explicit representation and tracking, which is advantage over techniques as the extended finite element method that requires tracking of the crack paths. The geometric description of the shell is based on statistical learning techniques that allow dealing with general point set surfaces avoiding a global parametrization, which can be applied to tackle surfaces of complex geometry and topology. We show the flexibility and robustness of the present methodology for two examples: plate in tension and a set of open connected pipes.

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KW - Manifold learning

KW - Meshfree method

KW - Phase-field model

KW - Point-set surfaces

KW - Thin shells

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VL - 69

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JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

ER -

Phase-field modeling of fracture in linear thin shells

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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