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Through its inclusion of specific applications, The Mathematical
Theory of Elasticity, Second Edition continues to provide a bridge
between the theory and applications of elasticity. It presents
classical as well as more recent results, including those obtained
by the authors and their colleagues. Revised and improved, this
edition incorporates additional examples and the latest research
results. New to the Second Edition Exposition of the application of
Laplace transforms, the Dirac delta function, and the Heaviside
function Presentation of the Cherkaev, Lurie, and Milton (CLM)
stress invariance theorem that is widely used to determine the
effective moduli of elastic composites The Cauchy relations in
elasticity A body force analogy for the transient thermal stresses
A three-part table of Laplace transforms An appendix that explores
recent developments in thermoelasticity Although emphasis is placed
on the problems of elastodynamics and thermoelastodynamics, the
text also covers elastostatics and thermoelastostatics. It
discusses the fundamentals of linear elasticity and applications,
including kinematics, motion and equilibrium, constitutive
relations, formulation of problems, and variational principles. It
also explains how to solve various boundary value problems of one,
two, and three dimensions. This professional reference includes
access to a solutions manual for those wishing to adopt the book
for instructional purposes.
This book contains the elements of the theory and the problems of
Elasticity and Thermal Stresses with full solutions. The emphasis
is placed on problems and solutions and the book consists of four
parts: one part is on The Mathematical Theory of Elasticity, two
parts are on Thermal Stresses and one part is on Numerical Methods.
The book is addressed to higher level undergraduate students,
graduate students and engineers and it is an indispensable
companion to all who study any of the books published earlier by
the authors. This book links the three previously published books
by the authors into one comprehensive entity.
This book is the authors' crowning achievement. In particular, it
comprises the problems contained in the three books, together with
detailed solutions and explanations. Thus, Part I (Chapters 1--12)
is related to the book "The Mathematical Theory of Elasticity,"
Part II (Chapters 13--21) covers the problems in the book "Thermal
Stresses," and Part III (Chapters 22--26) covers problems in the
book "Thermal Stresses - Advanced Theory and Applications." The
three parts are augmented by Part IV (Chapters 27--29), Numerical
Methods, that covers three important topics: Method of
Characteristics, Finite Element Method for Coupled
Thermoelasticity, and Boundary Element Method for Coupled
Thermoelasticity. As Part IV is independent of the earlier parts,
it may be studied separately. The book is an indispensable
companion to all who study any of the three books listed above, and
should also be of importance to those interested in the topics
covered in Part IV. It contains not only the problems and their
careful and often extensive solutions, but also explanations in the
form of introductions that appear at the beginning of chapters in
Parts I, II and III. Therefore, this book links the three listed
books into one comprehensive entity consisting of four
publications.
Through its inclusion of specific applications, The Mathematical
Theory of Elasticity, Second Edition continues to provide a bridge
between the theory and applications of elasticity. It presents
classical as well as more recent results, including those obtained
by the authors and their colleagues. Revised and improved, this
edition incorporates additional examples and the latest research
results. New to the Second Edition Exposition of the application of
Laplace transforms, the Dirac delta function, and the Heaviside
function Presentation of the Cherkaev, Lurie, and Milton (CLM)
stress invariance theorem that is widely used to determine the
effective moduli of elastic composites The Cauchy relations in
elasticity A body force analogy for the transient thermal stresses
A three-part table of Laplace transforms An appendix that explores
recent developments in thermoelasticity Although emphasis is placed
on the problems of elastodynamics and thermoelastodynamics, the
text also covers elastostatics and thermoelastostatics. It
discusses the fundamentals of linear elasticity and applications,
including kinematics, motion and equilibrium, constitutive
relations, formulation of problems, and variational principles. It
also explains how to solve various boundary value problems of one,
two, and three dimensions. This professional reference includes
access to a solutions manual for those wishing to adopt the book
for instructional purposes.
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