Computational recipes of linear and non-linear singular integral equations and relativistic mechanics in engineering and applied science. Volume I / Evangelos G. Ladopoulos.

Format:

Book

Author/Creator:

Ladopoulos, Evangelos G., author.

Series:

Computational mathematics and analysis series.

Computational Mathematics and Analysis, 2377-9020

Language:

English

Subjects (All):

Mathematics--Data processing.

Mathematics.

Numerical analysis--Data processing.

Numerical analysis.

Physical Description:

1 online resource (297 p.)

Place of Publication:

New York : Nova Publishers, 2015.

Language Note:

English

Summary:

The present book deals with the computational recipes of the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are widely used in many fields of engineering mechanics and mathematical physics with an applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, elastodynamics, fluid mechanics, potential flows, hydraulics and aerodynamics. Such types of linear and non-linear singular integral equations form the latest

Contents:

""COMPUTATIONAL RECIPES OF LINEAR AND NON-LINEAR SINGULAR INTEGRAL EQUATIONS AND RELATIVISTIC MECHANICS IN ENGINEERING AND APPLIED SCIENCE. VOLUME I""; ""COMPUTATIONAL RECIPES OF LINEAR AND NON-LINEAR SINGULAR INTEGRAL EQUATIONS AND RELATIVISTIC MECHANICS IN ENGINEERING AND APPLIED SCIENCE. VOLUME I""; ""Library of Congress Cataloging-in-Publication Data""; ""CONTENTS""; ""PREFACE""; ""Chapter 1: INTRODUCTION""; ""1.1. NUMERICAL EVALUATION METHODS FOR FINITE-PART SINGULAR INTEGRAL EQUATIONS""; ""1.2. NUMERICAL EVALUATION METHODS FOR MULTIDIMENSIONAL SINGULAR INTEGRAL EQUATIONS""

""1.3. NUMERICAL EVALUATION METHODS FOR NON-LINEAR SINGULAR INTEGRAL EQUATIONS""""Chapter 2: COMPUTATIONAL RECIPES OF FINITE-PART SINGULAR INTEGRAL EQUATIONS""; ""2.1. INTRODUCTION""; ""2.2. COMPUTATIONAL METHODS FOR SINGULAR INTEGRAL EQUATIONS IN GENERAL HILBERT SPACES""; ""2.3. APPROXIMATION METHODS FOR SYSTEMS OF SINGULAR INTEGRAL EQUATIONS IN GENERAL HILBERT SPACES""; ""2.4. COMPUTATIONAL INTEGRATION RULES FOR FINITE-PART SINGULAR INTEGRALS""; ""2.5. NUMERICAL INTEGRATION RULES FOR FINITE-PART SINGULAR INTEGRALS AND INTEGRAL EQUATIONS WITH LOGARITHMIC SINGULARITIES""

""2.6. APPROXIMATION METHODS FOR SINGULAR INTEGRAL EQUATIONS ON LYAPOUNOV CONTOURS IN BANACH SPACES""""2.7. NUMERICAL RECIPES OF FINITE-PART SINGULAR INTEGRAL EQUATIONS IN HILBERT SPACES""; ""Chapter 3: ELASTICITY AND FRACTURE MECHANICS BY FINITE-PART SINGULAR INTEGRAL EQUATIONS""; ""3.1. INTRODUCTION""; ""3.2. FRACTURE MECHANICS OF A NON-SYMMETRIC CROSS-SHAPED CRACK IN AN INFINITE PLANE""; ""3.3. SPECIAL CASE OF A SYMMETRIC CROSS-SHAPED CRACK IN AN INFINITE PLANE""; ""3.4. FRACTURE BEHAVIOUR OF A CIRCULAR RING WITH CURVILINEAR CRACKS""

""3.5. NON-DIMENSIONAL STRESS INTENSITY FACTORS NEAR CRACKS NORMAL TO A BIMATERIAL INTERFACE""""3.6 FRACTURE MECHANICS OF CRACKS PARALLEL TO THE FREE BOUNDARY OF AN ELASTIC ISOTROPIC SEMIPLANE""; ""3.7. FRACTURE BEHAVIOUR OF CRACKS PARALLEL TO THE FREE BOUNDARY OF ISOTROPIC SEMI-INFINITE SOLIDS""; ""3.8. STRESS INTENSITY FACTORS NEAR STRAIGHT CRACKS IN A BIMATERIAL INFINITE AND ISOTROPIC SOLID UNDER ANTIPLANE SHEAR""; ""3.9. FRACTURE MECHANICS OF STRAIGHT CRACKS IN AN INFINITE AND ISOTROPIC MEDIUM""

""3.10. STRESS INTENSITY FACTORS IN THE EDGE OF A PERIODIC ARRAY OF CRACKS ALONG A STRAIGHT LINE IN AN INFINITE AND ISOTROPIC SOLID""""3.11. STRESS INTENSITY FACTORS IN THE EDGE OF A PERIODIC ARRAY OF PARALLEL STRAIGHT CRACKS IN AN INFINITE AND ISOTROPIC SOLID""; ""REFERENCES""; ""Chapter 4: AERODYNAMICS BY SINGULAR INTEGRAL EQUATIONS""; ""4.1. INTRODUCTION""; ""4.2. TWO-DIMENSIONAL AERODYNAMICS APPLICATIONS OF PLANAR AIRFOILS""; ""Chapter 5: COMPUTATIONAL RECIPES OF MULTIDIMENSIONAL SINGULAR INTEGRAL EQUATIONS""; ""5.1. INTRODUCTION""

""5.2. NUMERICAL EVALUATION METHODS FOR TWO-DIMENSIONAL SINGULAR INTEGRAL EQUATIONS""

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and indexes.

Description based on online resource; title from PDF title page (ebrary, viewed June 25, 2015).

ISBN:

1-63482-473-3

OCLC:

916952363