Multi-Scale Finite Element Analysis for Joint Members of Heterogeneous Dissimilar Materials with Interface Crack

Naoki Takano, Masaru Zako, Yoshihiro Okuno

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In the last decade, a multi-scale computational method using the asymptotic homogenization method with the help of the finite element method has been intensively studied and applied to various advanced materials such as fiber reinforced composite materials and porous materials. It enables us to analyze the overall behaviors of structures considering the microscopic heterogeneity, where there is a large gap between the macro-scale and the micro-scale within the framework of continuum mechanics. However, no literature can be found that studied the joint or laminated members of heterogeneous dissimilar materials with interface crack. Due to the non-periodic condition at the interface and the existence of crack, the homogenized material modeling is of no use. Hence, an enhanced finite element mesh superposition method is employed to solve the two-scale problem. Two independent meshes, i. e., the global mesh and the local mesh, are used. The global mesh represents the joint or laminated members from the macroscopic viewpoint using the homogenized model. The local mesh is used to consider the heterogeneous microstructure of the material as well as the crack and superimposed onto the global mesh. The formulation, numerical accuracy and effectiveness of the proposed multi-scale method are presented in this paper.

Original languageEnglish
Pages (from-to)952-957
Number of pages6
JournalZairyo/Journal of the Society of Materials Science, Japan
Volume52
Issue number8
Publication statusPublished - 2003 Aug
Externally publishedYes

Fingerprint

Dissimilar materials
mesh
cracks
Cracks
Finite element method
Homogenization method
Continuum mechanics
Fiber reinforced materials
Computational methods
Macros
Porous materials
Microstructure
continuum mechanics
porous materials
homogenizing
finite element method
formulations
microstructure
composite materials
fibers

Keywords

  • Finite element mesh superposition method
  • Finite element method
  • Heterogeneous material
  • Homogenization method
  • Interface crack
  • Multi-scale analysis

ASJC Scopus subject areas

  • Metals and Alloys
  • Chemical Engineering (miscellaneous)
  • Polymers and Plastics

Cite this

Multi-Scale Finite Element Analysis for Joint Members of Heterogeneous Dissimilar Materials with Interface Crack. / Takano, Naoki; Zako, Masaru; Okuno, Yoshihiro.

In: Zairyo/Journal of the Society of Materials Science, Japan, Vol. 52, No. 8, 08.2003, p. 952-957.

Research output: Contribution to journalArticle

@article{25268f07c7fc40d283471f28713d9df7,
title = "Multi-Scale Finite Element Analysis for Joint Members of Heterogeneous Dissimilar Materials with Interface Crack",
abstract = "In the last decade, a multi-scale computational method using the asymptotic homogenization method with the help of the finite element method has been intensively studied and applied to various advanced materials such as fiber reinforced composite materials and porous materials. It enables us to analyze the overall behaviors of structures considering the microscopic heterogeneity, where there is a large gap between the macro-scale and the micro-scale within the framework of continuum mechanics. However, no literature can be found that studied the joint or laminated members of heterogeneous dissimilar materials with interface crack. Due to the non-periodic condition at the interface and the existence of crack, the homogenized material modeling is of no use. Hence, an enhanced finite element mesh superposition method is employed to solve the two-scale problem. Two independent meshes, i. e., the global mesh and the local mesh, are used. The global mesh represents the joint or laminated members from the macroscopic viewpoint using the homogenized model. The local mesh is used to consider the heterogeneous microstructure of the material as well as the crack and superimposed onto the global mesh. The formulation, numerical accuracy and effectiveness of the proposed multi-scale method are presented in this paper.",
keywords = "Finite element mesh superposition method, Finite element method, Heterogeneous material, Homogenization method, Interface crack, Multi-scale analysis",
author = "Naoki Takano and Masaru Zako and Yoshihiro Okuno",
year = "2003",
month = "8",
language = "English",
volume = "52",
pages = "952--957",
journal = "Zairyo/Journal of the Society of Materials Science, Japan",
issn = "0514-5163",
publisher = "Society of Materials Science Japan",
number = "8",

}

TY - JOUR

T1 - Multi-Scale Finite Element Analysis for Joint Members of Heterogeneous Dissimilar Materials with Interface Crack

AU - Takano, Naoki

AU - Zako, Masaru

AU - Okuno, Yoshihiro

PY - 2003/8

Y1 - 2003/8

N2 - In the last decade, a multi-scale computational method using the asymptotic homogenization method with the help of the finite element method has been intensively studied and applied to various advanced materials such as fiber reinforced composite materials and porous materials. It enables us to analyze the overall behaviors of structures considering the microscopic heterogeneity, where there is a large gap between the macro-scale and the micro-scale within the framework of continuum mechanics. However, no literature can be found that studied the joint or laminated members of heterogeneous dissimilar materials with interface crack. Due to the non-periodic condition at the interface and the existence of crack, the homogenized material modeling is of no use. Hence, an enhanced finite element mesh superposition method is employed to solve the two-scale problem. Two independent meshes, i. e., the global mesh and the local mesh, are used. The global mesh represents the joint or laminated members from the macroscopic viewpoint using the homogenized model. The local mesh is used to consider the heterogeneous microstructure of the material as well as the crack and superimposed onto the global mesh. The formulation, numerical accuracy and effectiveness of the proposed multi-scale method are presented in this paper.

AB - In the last decade, a multi-scale computational method using the asymptotic homogenization method with the help of the finite element method has been intensively studied and applied to various advanced materials such as fiber reinforced composite materials and porous materials. It enables us to analyze the overall behaviors of structures considering the microscopic heterogeneity, where there is a large gap between the macro-scale and the micro-scale within the framework of continuum mechanics. However, no literature can be found that studied the joint or laminated members of heterogeneous dissimilar materials with interface crack. Due to the non-periodic condition at the interface and the existence of crack, the homogenized material modeling is of no use. Hence, an enhanced finite element mesh superposition method is employed to solve the two-scale problem. Two independent meshes, i. e., the global mesh and the local mesh, are used. The global mesh represents the joint or laminated members from the macroscopic viewpoint using the homogenized model. The local mesh is used to consider the heterogeneous microstructure of the material as well as the crack and superimposed onto the global mesh. The formulation, numerical accuracy and effectiveness of the proposed multi-scale method are presented in this paper.

KW - Finite element mesh superposition method

KW - Finite element method

KW - Heterogeneous material

KW - Homogenization method

KW - Interface crack

KW - Multi-scale analysis

UR - http://www.scopus.com/inward/record.url?scp=0141998669&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141998669&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0141998669

VL - 52

SP - 952

EP - 957

JO - Zairyo/Journal of the Society of Materials Science, Japan

JF - Zairyo/Journal of the Society of Materials Science, Japan

SN - 0514-5163

IS - 8

ER -