Numerical investigation on corner singularities in cracked plates using the G-theta method with an adapted θ field

M. N. Vu; S. Geniaut; P. Massin; J. J. Marigo

doi:10.1016/j.tafmec.2015.02.003

Numerical investigation on corner singularities in cracked plates using the G-theta method with an adapted θ field

M. N. Vu, S. Geniaut, P. Massin, J. J. Marigo

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

Abstract

G-theta method with appropriate virtual crack extension (θ field) is proposed for the accurate evaluation of energy release rate along a crack edge which is non-orthogonal to the free surface. This method is implemented in the framework of finite element procedure as well as extended finite element one. This numerical procedure is then applied to investigate the corner singularities in cracked plates. The superposition of numerical solution to asymptotic solution within the boundary layer of crack front allows showing the dependence of vertex singularity to plate thickness.

Original language	English
Pages (from-to)	59-68
Number of pages	10
Journal	Theoretical and Applied Fracture Mechanics
Volume	77
DOIs	https://doi.org/10.1016/j.tafmec.2015.02.003
Publication status	Published - 1 Jun 2015
Externally published	Yes

Keywords

Corner singularity
Cracked plate
Critical angle
G-theta
θ field

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10.1016/j.tafmec.2015.02.003

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title = "Numerical investigation on corner singularities in cracked plates using the G-theta method with an adapted θ field",

abstract = "G-theta method with appropriate virtual crack extension (θ field) is proposed for the accurate evaluation of energy release rate along a crack edge which is non-orthogonal to the free surface. This method is implemented in the framework of finite element procedure as well as extended finite element one. This numerical procedure is then applied to investigate the corner singularities in cracked plates. The superposition of numerical solution to asymptotic solution within the boundary layer of crack front allows showing the dependence of vertex singularity to plate thickness.",

keywords = "Corner singularity, Cracked plate, Critical angle, G-theta, θ field",

author = "Vu, \{M. N.\} and S. Geniaut and P. Massin and Marigo, \{J. J.\}",

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AU - Vu, M. N.

AU - Geniaut, S.

AU - Massin, P.

AU - Marigo, J. J.

PY - 2015/6/1

Y1 - 2015/6/1

N2 - G-theta method with appropriate virtual crack extension (θ field) is proposed for the accurate evaluation of energy release rate along a crack edge which is non-orthogonal to the free surface. This method is implemented in the framework of finite element procedure as well as extended finite element one. This numerical procedure is then applied to investigate the corner singularities in cracked plates. The superposition of numerical solution to asymptotic solution within the boundary layer of crack front allows showing the dependence of vertex singularity to plate thickness.

AB - G-theta method with appropriate virtual crack extension (θ field) is proposed for the accurate evaluation of energy release rate along a crack edge which is non-orthogonal to the free surface. This method is implemented in the framework of finite element procedure as well as extended finite element one. This numerical procedure is then applied to investigate the corner singularities in cracked plates. The superposition of numerical solution to asymptotic solution within the boundary layer of crack front allows showing the dependence of vertex singularity to plate thickness.

KW - Corner singularity

KW - Cracked plate

KW - Critical angle

KW - G-theta

KW - θ field

UR - https://www.scopus.com/pages/publications/84929282217

U2 - 10.1016/j.tafmec.2015.02.003

DO - 10.1016/j.tafmec.2015.02.003

M3 - Article

AN - SCOPUS:84929282217

SN - 0167-8442

VL - 77

SP - 59

EP - 68

JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

ER -

Numerical investigation on corner singularities in cracked plates using the G-theta method with an adapted θ field

Abstract

Keywords

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