<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Faculty of Mechanics and Mathematics, Department of Mechanics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Biaxial Loading of a Plate Containing a Hole and Two Co-Axial Through Cracks"}

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...

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

Publicado en línea: 16 oct 2018

Páginas: 237 - 242

Recibido: 21 abr 2017

Aceptado: 27 sept 2018

DOI: https://doi.org/10.2478/ama-2018-0037

Palabras clave
Isotropic Plate, Co-Axial Cracks, Hole, Traction, Complex Potential, Stress Intensity Factors

© 2018 Bialystok University of Technology published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publicado en línea: 16 oct 2018

Páginas: 237 - 242

Recibido: 21 abr 2017

Aceptado: 27 sept 2018

DOI: https://doi.org/10.2478/ama-2018-0037

Palabras claveIsotropic Plate, Co-Axial Cracks, Hole, Traction, Complex Potential, Stress Intensity Factors

© 2018 Bialystok University of Technology published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Palabras clave
Isotropic Plate, Co-Axial Cracks, Hole, Traction, Complex Potential, Stress Intensity Factors