First-order variation of the displacement field due to geometrical changes in an elliptical crack

T. Nishioka; S. N. Atluri

First-order variation of the displacement field due to geometrical changes in an elliptical crack

T. Nishioka, S. N. Atluri

Mechanical Engineering

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

1 Scopus citations

Abstract

Analytical expressions are derived for the derivatives of the crack-surface displacement field, with respect to the lengths of the major and minor axes, respectively, of an elliptical crack embedded in an infinite isotropic elastic solid, when the crack faces are subjected to arbitrary tractions. These results are shown to lead, in turn, to analytical expressions for weight functions for the stress intensity factors along the fronts of elliptical-shaped embedded or part-elliptical shaped surface flaws, when a simple two-parameter characterization of the stress intensity variation along the flaw border is used. In the case of part-elliptical surface flaws, a finite-element alternating method, based on the Schwartz-Neumann superposition technique, is proposed to determine the coefficients in the analytical expressions for crack-surface displacements, and their gradients with respect to the crack dimensions.

Original language	English
Journal	American Society of Mechanical Engineers (Paper)
State	Published - 1990
Event	Proceedings of the Winter Annual Meeting - Dallas, TX, USA Duration: Nov 25 1990 → Nov 30 1990

Cite this

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title = "First-order variation of the displacement field due to geometrical changes in an elliptical crack",

abstract = "Analytical expressions are derived for the derivatives of the crack-surface displacement field, with respect to the lengths of the major and minor axes, respectively, of an elliptical crack embedded in an infinite isotropic elastic solid, when the crack faces are subjected to arbitrary tractions. These results are shown to lead, in turn, to analytical expressions for weight functions for the stress intensity factors along the fronts of elliptical-shaped embedded or part-elliptical shaped surface flaws, when a simple two-parameter characterization of the stress intensity variation along the flaw border is used. In the case of part-elliptical surface flaws, a finite-element alternating method, based on the Schwartz-Neumann superposition technique, is proposed to determine the coefficients in the analytical expressions for crack-surface displacements, and their gradients with respect to the crack dimensions.",

author = "T. Nishioka and Atluri, {S. N.}",

year = "1990",

language = "English",

journal = "American Society of Mechanical Engineers (Paper)",

issn = "0402-1215",

note = "Proceedings of the Winter Annual Meeting ; Conference date: 25-11-1990 Through 30-11-1990",

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TY - JOUR

T1 - First-order variation of the displacement field due to geometrical changes in an elliptical crack

AU - Nishioka, T.

AU - Atluri, S. N.

PY - 1990

Y1 - 1990

N2 - Analytical expressions are derived for the derivatives of the crack-surface displacement field, with respect to the lengths of the major and minor axes, respectively, of an elliptical crack embedded in an infinite isotropic elastic solid, when the crack faces are subjected to arbitrary tractions. These results are shown to lead, in turn, to analytical expressions for weight functions for the stress intensity factors along the fronts of elliptical-shaped embedded or part-elliptical shaped surface flaws, when a simple two-parameter characterization of the stress intensity variation along the flaw border is used. In the case of part-elliptical surface flaws, a finite-element alternating method, based on the Schwartz-Neumann superposition technique, is proposed to determine the coefficients in the analytical expressions for crack-surface displacements, and their gradients with respect to the crack dimensions.

AB - Analytical expressions are derived for the derivatives of the crack-surface displacement field, with respect to the lengths of the major and minor axes, respectively, of an elliptical crack embedded in an infinite isotropic elastic solid, when the crack faces are subjected to arbitrary tractions. These results are shown to lead, in turn, to analytical expressions for weight functions for the stress intensity factors along the fronts of elliptical-shaped embedded or part-elliptical shaped surface flaws, when a simple two-parameter characterization of the stress intensity variation along the flaw border is used. In the case of part-elliptical surface flaws, a finite-element alternating method, based on the Schwartz-Neumann superposition technique, is proposed to determine the coefficients in the analytical expressions for crack-surface displacements, and their gradients with respect to the crack dimensions.

UR - http://www.scopus.com/inward/record.url?scp=0025536997&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0025536997

SN - 0402-1215

JO - American Society of Mechanical Engineers (Paper)

JF - American Society of Mechanical Engineers (Paper)

T2 - Proceedings of the Winter Annual Meeting

Y2 - 25 November 1990 through 30 November 1990

ER -

First-order variation of the displacement field due to geometrical changes in an elliptical crack

Abstract

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