The Stress Distribution in an Infinite Anisotropic Plate with Co-Linear Cracks

Steen Krenk

doi:10.1016/0020-7683(75)90080-3

The Stress Distribution in an Infinite Anisotropic Plate with Co-Linear Cracks

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

Abstract

A general solution of the plane problem of a finite number of co-linear cracks in an anisotropic material is presented. The solution is obtained by reducing the problem to four very simple Riemann-Hilbert problems. From the solution it is concluded that if the loads acting on the cracks have the resultant zero for each of the cracks, then the normal and shear stresses created on the line of the cracks are independent of the elastic constants. Expressions for the stress intensity factors are derived, and some examples are presented.

Original language	English
Journal	International Journal of Solids and Structures
Volume	11
Issue number	4
Pages (from-to)	449-460
ISSN	0020-7683
DOIs	https://doi.org/10.1016/0020-7683(75)90080-3
Publication status	Published - 1975

Access to Document

10.1016/0020-7683(75)90080-3

OpenUrl availability

Full text

Cite this

@article{ae332e46379c453cb069a1cd96cf0ee3,

title = "The Stress Distribution in an Infinite Anisotropic Plate with Co-Linear Cracks",

abstract = "A general solution of the plane problem of a finite number of co-linear cracks in an anisotropic material is presented. The solution is obtained by reducing the problem to four very simple Riemann-Hilbert problems. From the solution it is concluded that if the loads acting on the cracks have the resultant zero for each of the cracks, then the normal and shear stresses created on the line of the cracks are independent of the elastic constants. Expressions for the stress intensity factors are derived, and some examples are presented.",

author = "Steen Krenk",

year = "1975",

doi = "10.1016/0020-7683(75)90080-3",

language = "English",

volume = "11",

pages = "449--460",

journal = "International Journal of Solids and Structures",

issn = "0020-7683",

publisher = "Pergamon Press",

number = "4",

}

TY - JOUR

T1 - The Stress Distribution in an Infinite Anisotropic Plate with Co-Linear Cracks

AU - Krenk, Steen

PY - 1975

Y1 - 1975

N2 - A general solution of the plane problem of a finite number of co-linear cracks in an anisotropic material is presented. The solution is obtained by reducing the problem to four very simple Riemann-Hilbert problems. From the solution it is concluded that if the loads acting on the cracks have the resultant zero for each of the cracks, then the normal and shear stresses created on the line of the cracks are independent of the elastic constants. Expressions for the stress intensity factors are derived, and some examples are presented.

AB - A general solution of the plane problem of a finite number of co-linear cracks in an anisotropic material is presented. The solution is obtained by reducing the problem to four very simple Riemann-Hilbert problems. From the solution it is concluded that if the loads acting on the cracks have the resultant zero for each of the cracks, then the normal and shear stresses created on the line of the cracks are independent of the elastic constants. Expressions for the stress intensity factors are derived, and some examples are presented.

U2 - 10.1016/0020-7683(75)90080-3

DO - 10.1016/0020-7683(75)90080-3

M3 - Journal article

SN - 0020-7683

VL - 11

SP - 449

EP - 460

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 4

ER -

The Stress Distribution in an Infinite Anisotropic Plate with Co-Linear Cracks

Abstract

Access to Document

OpenUrl availability

Fingerprint

Cite this