THE CAUCHY PROBLEM IN THE THEORY OF PLATES WITH TRANSVERSE SHEAR DEFORMATION-Reference-Cited by-同舟云学术

THE CAUCHY PROBLEM IN THE THEORY OF PLATES WITH TRANSVERSE SHEAR DEFORMATION

Published:2000-06 Issue:04 Volume:10 Page:463-477
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CHUDINOVICH IGOR¹,CONSTANDA CHRISTIAN²

Affiliation:

1. Department of Mathematics and Mechanics, Kharkov University, Kharkov, Ukraine

2. Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 ;1XH, UK

Abstract

The Cauchy problem for an infinite plate with transverse shear deformation is studied by means of an area potential and some special initial potentials. This is a fundamental step in the construction of the potential theory for dynamic problems for plates, since such results make it possible to reduce various initial-boundary value problems for the equations of motion to analogous ones for the homogeneous system, which can then be solved by means of retarded potentials.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202500000264

Reference1 articles.

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1. Boundary integral equations in time-dependent bending of thermoelastic plates;Journal of Mathematical Analysis and Applications;2008-03

2. On the Cauchy problem for thermoelastic plates;Mathematical Methods in the Applied Sciences;2006

3. Solvability of initial-boundary value problems for bending of thermoelastic plates with mixed boundary conditions;Journal of Mathematical Analysis and Applications;2005-11

4. Potential Representations of Solutions for Dynamic Bending of Elastic Plates Weakened by Cracks;Mathematics and Mechanics of Solids;2005-06-10

5. On the Laplace transform of a matrix of fundamental solutions for thermoelastic plates;Journal of Engineering Mathematics;2005-03