Derivation of Path Independent Coupled Mix Mode Cohesive Laws from Fracture Resistance Curves

Stergios Goutianos

doi:10.1007/s10443-016-9568-2

Derivation of Path Independent Coupled Mix Mode Cohesive Laws from Fracture Resistance Curves

Stergios Goutianos

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

A generalised approach is presented to derive coupled mixed mode cohesive laws described with physical parameters such as peak traction, critical opening, fracture energy and cohesive shape. The approach is based on deriving mix mode fracture resistance curves from an effective mix mode cohesive law at different mode mixities. From the fracture resistance curves, the normal and shear stresses of the cohesive laws can be obtained by differentiation. Since, the mixed mode cohesive laws are obtained from a fracture resistance curve (potential function), path independence is automatically satisfied. The effective mix mode cohesive law can have different shape and cohesive law parameters at different mode mixities so that the approach can be applied to various material failure models.

Original language	English
Journal	Applied Composite Materials
Volume	24
Issue number	4
Pages (from-to)	983-997
ISSN	0929-189X
DOIs	https://doi.org/10.1007/s10443-016-9568-2
Publication status	Published - 2016

Keywords

Ceramics and Composites
Bridging laws
Cohesive laws
J Integral
Mixed mode
Potential function
Fracture toughness
Shear stress
Bridging law
J integral
Fracture

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title = "Derivation of Path Independent Coupled Mix Mode Cohesive Laws from Fracture Resistance Curves",

abstract = "A generalised approach is presented to derive coupled mixed mode cohesive laws described with physical parameters such as peak traction, critical opening, fracture energy and cohesive shape. The approach is based on deriving mix mode fracture resistance curves from an effective mix mode cohesive law at different mode mixities. From the fracture resistance curves, the normal and shear stresses of the cohesive laws can be obtained by differentiation. Since, the mixed mode cohesive laws are obtained from a fracture resistance curve (potential function), path independence is automatically satisfied. The effective mix mode cohesive law can have different shape and cohesive law parameters at different mode mixities so that the approach can be applied to various material failure models.",

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author = "Stergios Goutianos",

year = "2016",

doi = "10.1007/s10443-016-9568-2",

language = "English",

volume = "24",

pages = "983--997",

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issn = "0929-189X",

publisher = "Springer International Publishing",

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T1 - Derivation of Path Independent Coupled Mix Mode Cohesive Laws from Fracture Resistance Curves

AU - Goutianos, Stergios

PY - 2016

Y1 - 2016

N2 - A generalised approach is presented to derive coupled mixed mode cohesive laws described with physical parameters such as peak traction, critical opening, fracture energy and cohesive shape. The approach is based on deriving mix mode fracture resistance curves from an effective mix mode cohesive law at different mode mixities. From the fracture resistance curves, the normal and shear stresses of the cohesive laws can be obtained by differentiation. Since, the mixed mode cohesive laws are obtained from a fracture resistance curve (potential function), path independence is automatically satisfied. The effective mix mode cohesive law can have different shape and cohesive law parameters at different mode mixities so that the approach can be applied to various material failure models.

AB - A generalised approach is presented to derive coupled mixed mode cohesive laws described with physical parameters such as peak traction, critical opening, fracture energy and cohesive shape. The approach is based on deriving mix mode fracture resistance curves from an effective mix mode cohesive law at different mode mixities. From the fracture resistance curves, the normal and shear stresses of the cohesive laws can be obtained by differentiation. Since, the mixed mode cohesive laws are obtained from a fracture resistance curve (potential function), path independence is automatically satisfied. The effective mix mode cohesive law can have different shape and cohesive law parameters at different mode mixities so that the approach can be applied to various material failure models.

KW - Ceramics and Composites

KW - Bridging laws

KW - Cohesive laws

KW - J Integral

KW - Mixed mode

KW - Potential function

KW - Fracture toughness

KW - Shear stress

KW - Bridging law

KW - J integral

KW - Fracture

U2 - 10.1007/s10443-016-9568-2

DO - 10.1007/s10443-016-9568-2

M3 - Journal article

SN - 0929-189X

VL - 24

SP - 983

EP - 997

JO - Applied Composite Materials

JF - Applied Composite Materials

IS - 4

ER -

Derivation of Path Independent Coupled Mix Mode Cohesive Laws from Fracture Resistance Curves

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