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Mathematical Theory of Elastic Structures (Paperback, Softcover reprint of the original 1st ed. 1996)
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Mathematical Theory of Elastic Structures (Paperback, Softcover reprint of the original 1st ed. 1996)
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Elasticity theory is a classical discipline. The mathematical
theory of elasticity in mechanics, especially the linearized
theory, is quite mature, and is one of the foundations of several
engineering sciences. In the last twenty years, there has been
significant progress in several areas closely related to this
classical field, this applies in particular to the following two
areas. First, progress has been made in numerical methods,
especially the development of the finite element method. The finite
element method, which was independently created and developed in
different ways by sci entists both in China and in the West, is a
kind of systematic and modern numerical method for solving partial
differential equations, especially el liptic equations. Experience
has shown that the finite element method is efficient enough to
solve problems in an extremely wide range of applica tions of
elastic mechanics. In particular, the finite element method is very
suitable for highly complicated problems. One of the authors (Feng)
of this book had the good fortune to participate in the work of
creating and establishing the theoretical basis of the finite
element method. He thought in the early sixties that the method
could be used to solve computational problems of solid mechanics by
computers. Later practice justified and still continues to justify
this point of view. The authors believe that it is now time to
include the finite element method as an important part of the
content of a textbook of modern elastic mechanics."
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