A generalized finite element method for three-dimensional fractures in fiber-reinforced composites

Phillipe D. Alves; Angelo Simone; C. Armando Duarte

doi:10.1007/s11012-020-01211-4

A generalized finite element method for three-dimensional fractures in fiber-reinforced composites

Phillipe D. Alves, Angelo Simone, C. Armando Duarte

Civil and Environmental Engineering

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

Abstract

This paper presents a methodology for the analysis of three-dimensional static fractures in fiber-reinforced materials. Fibers are discretely modeled using a modification of the embedded reinforcement method with bond Slip (mERS) that allows its combination with a generalized finite element method (GFEM) for three-dimensional fractures. Since the GFEM mesh does not need to fit fracture surfaces or fibers, the GFEM–mERS can handle fibers bridging across crack faces at arbitrary angles. The method is verified against three-dimensional FEM solutions using conformal discretizations for crack surfaces and fiber boundaries. The comparison of the method against experimental data and convergence studies of the h- and p-version of the method is also presented.

Original language	English (US)
Pages (from-to)	1441-1473
Number of pages	33
Journal	Meccanica
Volume	56
Issue number	6
DOIs	https://doi.org/10.1007/s11012-020-01211-4
State	Published - Jun 2021

Keywords

Embedded reinforcement method with bond Slip (ERS)
Fiber reinforced composites (FRC)
Finite element method (FEM)
Generalized finite element method (GFEM)

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Online availability

10.1007/s11012-020-01211-4

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title = "A generalized finite element method for three-dimensional fractures in fiber-reinforced composites",

abstract = "This paper presents a methodology for the analysis of three-dimensional static fractures in fiber-reinforced materials. Fibers are discretely modeled using a modification of the embedded reinforcement method with bond Slip (mERS) that allows its combination with a generalized finite element method (GFEM) for three-dimensional fractures. Since the GFEM mesh does not need to fit fracture surfaces or fibers, the GFEM–mERS can handle fibers bridging across crack faces at arbitrary angles. The method is verified against three-dimensional FEM solutions using conformal discretizations for crack surfaces and fiber boundaries. The comparison of the method against experimental data and convergence studies of the h- and p-version of the method is also presented.",

keywords = "Embedded reinforcement method with bond Slip (ERS), Fiber reinforced composites (FRC), Finite element method (FEM), Generalized finite element method (GFEM)",

author = "Alves, {Phillipe D.} and Angelo Simone and Duarte, {C. Armando}",

note = "Funding Information: Ph. D. Alves and C. A. Duarte gratefully acknowledge the partial support from the National Science Foundation under contract number 1030569 and the Brazilian National Council for Scientific and Technological Development (CNPq). A. Simone gratefully acknowledge financial support from the European Research Council under the European Union{\textquoteright}s Seventh Framework Programme (FP7/2007-2013)/ERC Grant agreement no 617972. Publisher Copyright: {\textcopyright} 2020, Springer Nature B.V.",

year = "2021",

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doi = "10.1007/s11012-020-01211-4",

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AU - Alves, Phillipe D.

AU - Simone, Angelo

AU - Duarte, C. Armando

N1 - Funding Information: Ph. D. Alves and C. A. Duarte gratefully acknowledge the partial support from the National Science Foundation under contract number 1030569 and the Brazilian National Council for Scientific and Technological Development (CNPq). A. Simone gratefully acknowledge financial support from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ERC Grant agreement no 617972. Publisher Copyright: © 2020, Springer Nature B.V.

PY - 2021/6

Y1 - 2021/6

N2 - This paper presents a methodology for the analysis of three-dimensional static fractures in fiber-reinforced materials. Fibers are discretely modeled using a modification of the embedded reinforcement method with bond Slip (mERS) that allows its combination with a generalized finite element method (GFEM) for three-dimensional fractures. Since the GFEM mesh does not need to fit fracture surfaces or fibers, the GFEM–mERS can handle fibers bridging across crack faces at arbitrary angles. The method is verified against three-dimensional FEM solutions using conformal discretizations for crack surfaces and fiber boundaries. The comparison of the method against experimental data and convergence studies of the h- and p-version of the method is also presented.

AB - This paper presents a methodology for the analysis of three-dimensional static fractures in fiber-reinforced materials. Fibers are discretely modeled using a modification of the embedded reinforcement method with bond Slip (mERS) that allows its combination with a generalized finite element method (GFEM) for three-dimensional fractures. Since the GFEM mesh does not need to fit fracture surfaces or fibers, the GFEM–mERS can handle fibers bridging across crack faces at arbitrary angles. The method is verified against three-dimensional FEM solutions using conformal discretizations for crack surfaces and fiber boundaries. The comparison of the method against experimental data and convergence studies of the h- and p-version of the method is also presented.

KW - Embedded reinforcement method with bond Slip (ERS)

KW - Fiber reinforced composites (FRC)

KW - Finite element method (FEM)

KW - Generalized finite element method (GFEM)

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JF - Meccanica

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A generalized finite element method for three-dimensional fractures in fiber-reinforced composites

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