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

Applied Mechanics

Research output: Contribution to journal › Article › Scientific › 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
Number of pages	33
Journal	Meccanica
DOIs	https://doi.org/10.1007/s11012-020-01211-4
Publication status	E-pub ahead of print - 2020

Keywords

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

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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.",

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AU - Simone, Angelo

AU - Duarte, C. Armando

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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.

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