chayan_09 ® 08-Jun-2019 13:27

The Finite Element Method


Year: 1987
Language: english
Author: Thomas J. R. Hughes
Genre: Textbook
Format: PDF
Quality: Scanned pages
Pages count: 826
Description: The book emphasizes heat conduction and elasticity as primary vehicles for
developing finite element methods because of the widespread interest in these theories
in the applied sciences. By virtue of the fact that the partial differential equation of
heat conduction, namely, the Laplace/Poisson equation, appears under different
names in virtually all branches of engineering and physics, most students have had
some familiarity with it. Some exposure to the theory of elasticity is also desirable.
This can be obtained, for example, in a good advanced course on strength of materials.
Students at Caltech and Stanford frequently have taken courses in elasticity simultaneously
with finite elements. Background in structural mechanics (i.e., the theory of
beams, plates, and shells) is certainly an asset when it comes to studying this book but
is not essential. Only Chapters 5 and 6 deal exclusively with this subject, and these
chapters may be ignored by students whose primary interests lie elsewhere. It is worth
noting that students who have taken this finite element course at Stanford and Caltech
have had very diverse backgrounds (e.g., geophysics, chemical engineering, planetary
sciences, coastal engineering, electrical engineering, computer science, mathematics,
bioengineering, aeronautics and astronautics, material science, physics, earth
sciences, environmental engineering, biomechanics, thermosciences, engineering design,
applied mechanics, earthquake engineering, and, of course, mechanical and civil
engineering). In this spirit the book emphasizes fundamental finite element concepts
and techniques applicable to a very broad range of problems and thus constitutes a
suitable text for most students in the physical sciences.

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