Mathematical modelling of solids with nonregular boundaries

by Movchan, A. B., (Alexander B.)

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Title Statements

Full title :Mathematical modelling of solids with nonregular boundaries / A.B. Movchan, N.V. Movchan.

Edition Statements

Publication Date:©1995.

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton
Language:eng
Publication Date:©1995.

The Physical Object

Description:1 online resource (xiii, 325 pages : : illustrations.).

Edition Identifiers

ISBN:9781003068938, 1003068936, 9781000099287, 1000099288, 9781000142303, 1000142302
oclc:on1260362218
LC Classification:QA931
Dewey Decimal:620.1/126/015118

Cover -- Half Title -- Title Page -- Copyright Page -- Series Page -- Table of Contents -- Preface -- 1: Introduction -- 1.1 Equations of Linear Elasticity -- 1.1.1 The Lamé System. Hooke's Law -- 1.1.2 Formulation of Static Boundary Value Problems -- 1.1.3 Compatibility Conditions -- 1.1.4 Two-Dimensional Models -- 1.2 Cracks and Inclusions -- 1.2.1 Singularity of Stress at the Crack Front -- 1.2.2 Interface Conditions for Elastic Inclusions -- 1.3 The Pólya-Szegö Matrix. Anti-Plane Shear -- 1.3.1 Anti-Plane Shear of A Finite Elastic Region with a Small Inclusion

1.3.2 Auxiliary Boundary Value Problems in An Infinite Region -- 1.3.3 Definition of the Pólya-Szegö Matrix -- 1.3.4 The Energy Evaluation -- 1.4 The Concept of the Asymptotic Expansions -- 1.5 Exercises -- 2: Modelling of Cracks and Thin Inclusions in Elastic Media -- 2.1 Cracks with Smoothly Closed Edges -- 2.1.1 Two-Dimensional Cracks -- 2.1.2 Asymptotic Representation of the Stress-Intensity Factors -- 2.1.3 Potential Energy -- 2.1.4 Examples -- 2.1.5 Three-Dimensional Crack with Smoothly Closed Edges -- 2.2 Thin Rectangular Holes -- 2.2.1 Formulation of the Problem

2.2.2 Asymptotic Approximation of the Solution --…