# Basic solution of two collinear mode-I cracks in the orthotropic medium by use of the non-local theory

Basic solution of two collinear mode-I cracks in the orthotropic medium by use of the non-local... PurposeThe purpose of this paper is to present the basic solution of two collinear mode-I cracks in the orthotropic medium by the use of the non-local theory.Design/methodology/approachMeanwhile, the generalized Almansi’s theorem and the Schmidt method are used. By the Fourier transform, it is converted to a pair of dual integral equations.FindingsNumerical examples are provided to show the effects of the crack length, the distance between the two collinear cracks and the lattice parameter on the stress field near the crack tips in the orthotropic medium.Originality/valueThe present solution exhibits no stress singularity at the crack tips in the orthotropic medium. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multidiscipline Modeling in Materials and Structures Emerald Publishing

# Basic solution of two collinear mode-I cracks in the orthotropic medium by use of the non-local theory

, Volume 13 (1): 16 – Jun 12, 2017
16 pages

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# References (28)

Publisher
Emerald Publishing
ISSN
1573-6105
DOI
10.1108/MMMS-05-2016-0020
Publisher site
See Article on Publisher Site

### Abstract

PurposeThe purpose of this paper is to present the basic solution of two collinear mode-I cracks in the orthotropic medium by the use of the non-local theory.Design/methodology/approachMeanwhile, the generalized Almansi’s theorem and the Schmidt method are used. By the Fourier transform, it is converted to a pair of dual integral equations.FindingsNumerical examples are provided to show the effects of the crack length, the distance between the two collinear cracks and the lattice parameter on the stress field near the crack tips in the orthotropic medium.Originality/valueThe present solution exhibits no stress singularity at the crack tips in the orthotropic medium.

### Journal

Multidiscipline Modeling in Materials and StructuresEmerald Publishing

Published: Jun 12, 2017