Finite element analysis of interface crack in bimaterial media using cohesive force model

Masaki Omiya, Kikuo Kishimoto, Toshikazu Shibuya

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The intent of this paper is to investigate mixed mode interface fracture toughness Jc. Many workers have shown by experiments that the interface fracture toughness depends on the mode mixity. However, the definition of the interface stress intensity factor is not clarified and therefore the mode mixity varies with the characteristic length L of the interface stress intensity factor. To evaluate the strength of an interface, it is important to model the fracture behavior of the interface. The cohesive force model is a direct way to represent the interface nonlinear properties. Based on the internal variable theory of thermodynamics, a continuum interface constitutive relation between interface traction and interface separation has been developed. In this paper, we apply this constitutive model to the interface crack. The interface fracture toughness is analyzed for a wide range of bimaterial constant by Finite Element Method. The results show that the fracture boundary curve is elliptical shape and changes with the ratio of the Young's modulus. The interface fracture toughness is strongly influenced by the mode mixity. However, if the characteristic length L of the interface stress intensity factor is chosen suitably, the intrinsic fracture criterion can be derived.

Original languageEnglish
Pages (from-to)532-539
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume66
Issue number643
Publication statusPublished - 2000
Externally publishedYes

Fingerprint

Interfaces (computer)
Fracture toughness
Stress intensity factors
Cracks
Finite element method
Constitutive models
Elastic moduli
Thermodynamics
Experiments

Keywords

  • Bimaterial
  • Cohesive force model
  • Damage mechanics
  • Finite Element Method
  • Fracture criterion
  • Fracture toughness
  • Interface crack
  • Mixed mode
  • Stress intensity factor

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

Finite element analysis of interface crack in bimaterial media using cohesive force model. / Omiya, Masaki; Kishimoto, Kikuo; Shibuya, Toshikazu.

In: Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A, Vol. 66, No. 643, 2000, p. 532-539.

Research output: Contribution to journalArticle

@article{1e3fd82d0e044f3f8be2bd19aa61f49a,
title = "Finite element analysis of interface crack in bimaterial media using cohesive force model",
abstract = "The intent of this paper is to investigate mixed mode interface fracture toughness Jc. Many workers have shown by experiments that the interface fracture toughness depends on the mode mixity. However, the definition of the interface stress intensity factor is not clarified and therefore the mode mixity varies with the characteristic length L of the interface stress intensity factor. To evaluate the strength of an interface, it is important to model the fracture behavior of the interface. The cohesive force model is a direct way to represent the interface nonlinear properties. Based on the internal variable theory of thermodynamics, a continuum interface constitutive relation between interface traction and interface separation has been developed. In this paper, we apply this constitutive model to the interface crack. The interface fracture toughness is analyzed for a wide range of bimaterial constant by Finite Element Method. The results show that the fracture boundary curve is elliptical shape and changes with the ratio of the Young's modulus. The interface fracture toughness is strongly influenced by the mode mixity. However, if the characteristic length L of the interface stress intensity factor is chosen suitably, the intrinsic fracture criterion can be derived.",
keywords = "Bimaterial, Cohesive force model, Damage mechanics, Finite Element Method, Fracture criterion, Fracture toughness, Interface crack, Mixed mode, Stress intensity factor",
author = "Masaki Omiya and Kikuo Kishimoto and Toshikazu Shibuya",
year = "2000",
language = "English",
volume = "66",
pages = "532--539",
journal = "Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A",
issn = "0387-5008",
publisher = "Japan Society of Mechanical Engineers",
number = "643",

}

TY - JOUR

T1 - Finite element analysis of interface crack in bimaterial media using cohesive force model

AU - Omiya, Masaki

AU - Kishimoto, Kikuo

AU - Shibuya, Toshikazu

PY - 2000

Y1 - 2000

N2 - The intent of this paper is to investigate mixed mode interface fracture toughness Jc. Many workers have shown by experiments that the interface fracture toughness depends on the mode mixity. However, the definition of the interface stress intensity factor is not clarified and therefore the mode mixity varies with the characteristic length L of the interface stress intensity factor. To evaluate the strength of an interface, it is important to model the fracture behavior of the interface. The cohesive force model is a direct way to represent the interface nonlinear properties. Based on the internal variable theory of thermodynamics, a continuum interface constitutive relation between interface traction and interface separation has been developed. In this paper, we apply this constitutive model to the interface crack. The interface fracture toughness is analyzed for a wide range of bimaterial constant by Finite Element Method. The results show that the fracture boundary curve is elliptical shape and changes with the ratio of the Young's modulus. The interface fracture toughness is strongly influenced by the mode mixity. However, if the characteristic length L of the interface stress intensity factor is chosen suitably, the intrinsic fracture criterion can be derived.

AB - The intent of this paper is to investigate mixed mode interface fracture toughness Jc. Many workers have shown by experiments that the interface fracture toughness depends on the mode mixity. However, the definition of the interface stress intensity factor is not clarified and therefore the mode mixity varies with the characteristic length L of the interface stress intensity factor. To evaluate the strength of an interface, it is important to model the fracture behavior of the interface. The cohesive force model is a direct way to represent the interface nonlinear properties. Based on the internal variable theory of thermodynamics, a continuum interface constitutive relation between interface traction and interface separation has been developed. In this paper, we apply this constitutive model to the interface crack. The interface fracture toughness is analyzed for a wide range of bimaterial constant by Finite Element Method. The results show that the fracture boundary curve is elliptical shape and changes with the ratio of the Young's modulus. The interface fracture toughness is strongly influenced by the mode mixity. However, if the characteristic length L of the interface stress intensity factor is chosen suitably, the intrinsic fracture criterion can be derived.

KW - Bimaterial

KW - Cohesive force model

KW - Damage mechanics

KW - Finite Element Method

KW - Fracture criterion

KW - Fracture toughness

KW - Interface crack

KW - Mixed mode

KW - Stress intensity factor

UR - http://www.scopus.com/inward/record.url?scp=77949686220&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77949686220&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77949686220

VL - 66

SP - 532

EP - 539

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 643

ER -