Mathematical Modelling of Solids with Nonregular Boundaries
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A01=A.B. Movchan
A01=N.V. Movchan
Anti-plane Shear
Asymptotic Expansions
asymptotic solution techniques
Author_A.B. Movchan
Author_N.V. Movchan
Body Force Density
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composite material defects
Crack Front
cracks modelling
Displacement Vector
eigenvalue problems in defect domains
Elastic Inclusions
elastic media thin inclusions
elasticity two-dimensional theory
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fracture analysis methods
Generalized Plane Stress
geophysical elasticity applications
Interface Boundary Conditions
Linear Elasticity
linear elasticity equations
nonsymmetric layered structure
Plane Strain
Plane Strain Formulations
Regular Perturbation Problem
Rigid Inclusion
singular perturbation theory
solid mechanics modeling
Stress Intensity Factors
Thin Elastic Layer
Traction Boundary Conditions
Product details
- ISBN 9780849383380
- Weight: 657g
- Dimensions: 156 x 234mm
- Publication Date: 25 Jul 1995
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Mathematical Modelling of Solids with Nonregular Boundaries demonstrates the use of asymptotic methods and other analytical techniques for investigating problems in solid mechanics. Applications to solids with nonregular boundaries are described in detail, providing precise and rigorous treatment of current methods and techniques. The book addresses problems in fracture mechanics of inhomogeneous media and illustrates applications in strength analysis and in geophysics. The rigorous approach allows the reader to explicitly analyze the stress-strain state in continuous media with cavities or inclusions, in composite materials with small defects, and in elastic solids with sharp inclusions. Effective asymptotic procedures for eigenvalue problems in domains with small defects are clearly outlined, and methods for analyzing singularly perturbed boundary value problems are examined.
Introductory material is provided in the first chapter of Mathematical Modelling of Solids with Nonregular Boundaries, which presents a survey of relevant and necessary information, including equations of linear elasticity and formulations of the boundary value problems. Background information - in the form of definitions and general solutions - is also provided on elasticity problems in various bounded and unbounded domains. This book is an excellent resource for students, applied scientists, and engineers.
Movchan\, A.B.; Movchan\, N.V.
