Crack at the apex of a loaded notch

L. M. Keer; D. A. Mendelsohn; J. D. Achenbach

doi:10.1016/0020-7683(77)90044-0

Crack at the apex of a loaded notch

L. M. Keer^*, D. A. Mendelsohn, J. D. Achenbach

^*Corresponding author for this work

Civil and Environmental Engineering

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

8 Scopus citations

Abstract

This paper deals with the plane elastostatic problem of an infinite wedge, subjected to arbitrary surface tractions, and cracked along the wedge angle bisector. The problem is reduced to a single Fredholm integral equation, which is solved numerically for normal loads on the crack faces and various loads on the wedge faces. It is shown that the crack tip intensity factor depends strongly on the wedge angle. An approximation to a half plane with a notch of finite angle, cracked at its apex, is also obtained.

Original language	English (US)
Pages (from-to)	615-623
Number of pages	9
Journal	International Journal of Solids and Structures
Volume	13
Issue number	7
DOIs	https://doi.org/10.1016/0020-7683(77)90044-0
State	Published - 1977

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(77)90044-0

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title = "Crack at the apex of a loaded notch",

abstract = "This paper deals with the plane elastostatic problem of an infinite wedge, subjected to arbitrary surface tractions, and cracked along the wedge angle bisector. The problem is reduced to a single Fredholm integral equation, which is solved numerically for normal loads on the crack faces and various loads on the wedge faces. It is shown that the crack tip intensity factor depends strongly on the wedge angle. An approximation to a half plane with a notch of finite angle, cracked at its apex, is also obtained.",

author = "Keer, {L. M.} and Mendelsohn, {D. A.} and Achenbach, {J. D.}",

note = "Funding Information: Acknowledgements-The authors are grateful to support by the National Science Foundation Grant ENG 72-04195 AOI. One of them (DAM) was supported in part by the Office of Naval Research.",

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T1 - Crack at the apex of a loaded notch

AU - Keer, L. M.

AU - Mendelsohn, D. A.

AU - Achenbach, J. D.

N1 - Funding Information: Acknowledgements-The authors are grateful to support by the National Science Foundation Grant ENG 72-04195 AOI. One of them (DAM) was supported in part by the Office of Naval Research.

PY - 1977

Y1 - 1977

N2 - This paper deals with the plane elastostatic problem of an infinite wedge, subjected to arbitrary surface tractions, and cracked along the wedge angle bisector. The problem is reduced to a single Fredholm integral equation, which is solved numerically for normal loads on the crack faces and various loads on the wedge faces. It is shown that the crack tip intensity factor depends strongly on the wedge angle. An approximation to a half plane with a notch of finite angle, cracked at its apex, is also obtained.

AB - This paper deals with the plane elastostatic problem of an infinite wedge, subjected to arbitrary surface tractions, and cracked along the wedge angle bisector. The problem is reduced to a single Fredholm integral equation, which is solved numerically for normal loads on the crack faces and various loads on the wedge faces. It is shown that the crack tip intensity factor depends strongly on the wedge angle. An approximation to a half plane with a notch of finite angle, cracked at its apex, is also obtained.

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U2 - 10.1016/0020-7683(77)90044-0

DO - 10.1016/0020-7683(77)90044-0

M3 - Article

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VL - 13

SP - 615

EP - 623

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 7

ER -

Crack at the apex of a loaded notch

Abstract

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