Biaxial Loading of a Plate Containing a Hole and Two Co-Axial Through Cracks-Reference-Cited by-同舟云学术

Biaxial Loading of a Plate Containing a Hole and Two Co-Axial Through Cracks

Published:2018-09-01 Issue:3 Volume:12 Page:237-242
ISSN:2300-5319
Container-title:Acta Mechanica et Automatica
language:en
Short-container-title:

Author:

Sulym Heorgij¹,Opanasovych Viktor²,Slobodian Mykola²,Yarema Yevhen²

Affiliation:

1. Faculty of Mechanical Engineering , Bialystok University of Technology , ul. Wiejska 45C, 15-351 Bialystok , Poland

2. Faculty of Mechanics and Mathematics, Department of Mechanics , Ivan Franko National University of Lviv , Universytetska Str., 1, 79000 Lviv , Ukraine

Abstract

Abstract The paper presents the solution linear elasticity problem for an isotropic plate weakened by a hole and two co-axial cracks. The plate is exerted by uniform traction at infinity. The corresponding 2D problem is solved by the method of Kolosova-Muskhelishvili complex potentials. The method implies reduction of the problem to simultaneous singular integral equations (SIE) for the functions defined the region of the cracks and hole. For particular case the solution the SIE is obtained analytically in a closed form. A thorough analysis of the stress intensity factors (SIF) is carried out for various cases of the hole shape: penny-shaped, elliptical and rectangular.

Publisher

Walter de Gruyter GmbH

Subject

Mechanical Engineering,Control and Systems Engineering

Link

https://www.sciendo.com/pdf/10.2478/ama-2018-0037

Reference40 articles.

1. 1. Chau K.T., Wang Y.B. (1999), A new boundary integral formulation for plane elastic bodies containing cracks and holes, International Journal of Solids and Structures, 36(14), 2041–2074.

2. 2. Chen Y.Z. (2011), Solution of multiple crack problem in a finite plate using an alternating method based on two kinds of integral equation, Engineering Analysis with Boundary Elements, 35(10), 1109–1115.

3. 3. Chen Y.Z. (2012), Boundary integral equation method for two dissimilar elastic inclusions in an infinite plate, Engineering Analysis with -Boundary Elements, 36(2), 137–146.

4. 4. Chen Y.Z., Lin X.Y. (2005), Periodic group crack problems in an infinite plate, International Journal of Solids and Structures, 42(9-10), 2837–2850.

5. 5. Chen Y.Z., Lin X.Y. (2010), Solutions of the interior and exterior boundary value problems in plane elasticity by using dislocation distribution layer, International Journal of Solids and Structures, 47(3-4), 355–364.

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