Mathematical Modelling of Solids with Nonregular Boundaries by Ab Movchan

Mathematical Modelling of Solids with Nonregular Boundaries by Ab Movchan

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.

"Of interest to advanced graduate students and scientists who work in the area of fracture mechanics" - Applied Mechanics Reviews, Volume 49, Number 3, March 1996

Movchan\, A.B.; Movchan\, N.V.

SKU	Unavailable
ISBN 13	9780849383380
ISBN 10	0849383382
Title	Mathematical Modelling of Solids with Nonregular Boundaries
Author	Ab Movchan
Series	Mathematical Modeling
Condition	Unavailable
Binding Type	Hardback
Publisher	CRC Press
Year published	1995-07-25
Number of pages	340
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.