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^*

^*Corresponding author for this work

Applied Mechanics

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

5 Citations (Scopus)

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
Pages (from-to)	1441-1473
Number of pages	33
Journal	Meccanica
Volume	56 (2021)
Issue number	6
DOIs	https://doi.org/10.1007/s11012-020-01211-4
Publication status	Published - 2020

Keywords

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

Access to Document

10.1007/s11012-020-01211-4

Cite this

@article{c7d7577fb695468db25237235ed173ad,

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}",

year = "2020",

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

language = "English",

volume = "56 (2021)",

pages = "1441--1473",

journal = "Meccanica",

issn = "0025-6455",

publisher = "Springer",

number = "6",

}

TY - JOUR

T1 - A generalized finite element method for three-dimensional fractures in fiber-reinforced composites

AU - Alves, Phillipe D.

AU - Simone, Angelo

AU - Duarte, C. Armando

PY - 2020

Y1 - 2020

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)

UR - http://www.scopus.com/inward/record.url?scp=85088829990&partnerID=8YFLogxK

U2 - 10.1007/s11012-020-01211-4

DO - 10.1007/s11012-020-01211-4

M3 - Article

AN - SCOPUS:85088829990

VL - 56 (2021)

SP - 1441

EP - 1473

JO - Meccanica

JF - Meccanica

SN - 0025-6455

IS - 6

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this