# Biharmonic Problem in the Theory of Elasticity

DOI link for Biharmonic Problem in the Theory of Elasticity

Biharmonic Problem in the Theory of Elasticity book

# Biharmonic Problem in the Theory of Elasticity

DOI link for Biharmonic Problem in the Theory of Elasticity

Biharmonic Problem in the Theory of Elasticity book

BySergey A. Lurie

Edition 1st Edition

First Published 1995

eBook Published 15 April 2020

Pub. location London

Imprint CRC Press

Pages 276 pages

eBook ISBN 9780429332081

SubjectsMathematics & Statistics

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#### Get Citation

Lurie, S. (1995). Biharmonic Problem in the Theory of Elasticity. London: CRC Press, https://doi.org/10.1201/9780429332081

This reference work offers a method of deriving exact solutions to the biharmonic equation in the context of elasticity problems, and proposes a number of new solutions. Beginning with an in-depth presentation of a general mathematical model, this text proceeds to outline specific applications, extending the developed method to special harmonic problems of mechanics for conjugated domains. All applications are illustrated with numerical examples.

## TABLE OF CONTENTS

chapter Chapter 1|48 pages

#### Homogeneous Solutions for the Biharmonic Problem

BySergey A. Lurie, Valery V. Vasiliev

chapter Chapter 2|41 pages

#### Method of Solution for the Biharmonic Problem of Mathematical Physics

BySergey A. Lurie, Valery V. Vasiliev

chapter Chapter 3|74 pages

#### Plane Problem of the Theory of Elasticity in Cartesian Coordinates

BySergey A. Lurie, Valery V. Vasiliev

chapter Chapter 4|30 pages

#### Plane Problem of the Theory of Elasticity in Polar Coordinates

BySergey A. Lurie, Valery V. Vasiliev

chapter Chapter 5|31 pages

#### Biharmonic Problem of the Classical Plate Theory

BySergey A. Lurie, Valery V. Vasiliev

chapter Chapter 6|28 pages

#### Axisymmetric Problem of the Theory of Elasticity for the Cylinder

BySergey A. Lurie, Valery V. Vasiliev