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Mathematical Modelling of Solids with Nonregular Boundaries (Paperback)
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Mathematical Modelling of Solids with Nonregular Boundaries (Paperback)
Series: Mathematical Modeling
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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.
General
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