Mathematical Modelling of Solids with Nonregular Boundaries Contributor(s): Movchan, A. B. (Author), Movchan, N. V. (Author) |
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ISBN: 0367449021 ISBN-13: 9780367449025 Publisher: CRC Press OUR PRICE: $74.09 Product Type: Paperback - Other Formats Published: June 2020 |
Additional Information |
BISAC Categories: - Technology & Engineering | Fracture Mechanics - Mathematics | Applied - Technology & Engineering | Mechanical |
Dewey: 620.112 |
Physical Information: 352 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |