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An Introduction to Nonlinear Finite Element Analysis - with applications to heat transfer, fluid mechanics, and solid mechanics (Hardcover, 2nd Revised edition)
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An Introduction to Nonlinear Finite Element Analysis - with applications to heat transfer, fluid mechanics, and solid mechanics (Hardcover, 2nd Revised edition)
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The second edition of An Introduction to Nonlinear Finite Element
Analysis has the same objective as the first edition, namely, to
facilitate an easy and thorough understanding of the details that
are involved in the theoretical formulation, finite element model
development, and solutions of nonlinear problems. The book offers
an easy-to-understand treatment of the subject of nonlinear finite
element analysis, which includes element development from
mathematical models and numerical evaluation of the underlying
physics. The new edition is extensively reorganized and contains
substantial amounts of new material. Chapter 1 in the second
edition contains a section on applied functional analysis. Chapter
2 on nonlinear continuum mechanics is entirely new. Chapters 3
through 8 in the new edition correspond to Chapter 2 through 8 of
the first edition, but with additional explanations, examples, and
exercise problems. Material on time dependent problems from Chapter
8 of the first edition is absorbed into Chapters 4 through 8 of the
new edition. Chapter 9 is extensively revised and it contains up to
date developments in the large deformation analysis of isotropic,
composite and functionally graded shells. Chapter 10 of the first
edition on material nonlinearity and coupled problems is
reorganized in the second edition by moving the material on solid
mechanics to Chapter 12 in the new edition and material on coupled
problems to the new chapter, Chapter 10, on weak-form Galerkin
finite element models of viscous incompressible fluids. Finally,
Chapter 11 in the second edition is entirely new and devoted to
least-squares finite element models of viscous incompressible
fluids. Chapter 12 of the second edition is enlarged to contain
finite element models of viscoelastic beams. In general, all of the
chapters of the second edition contain additional explanations,
detailed example problems, and additional exercise problems.
Although all of the programming segments are in Fortran, the logic
used in these Fortran programs is transparent and can be used in
Matlab or C++ versions of the same. Thus the new edition more than
replaces the first edition, and it is hoped that it is acquired by
the library of every institution of higher learning as well as
serious finite element analysts. The book may be used as a textbook
for an advanced course (after a first course) on the finite element
method or the first course on nonlinear finite element analysis. A
solutions manual is available on request from the publisher to
instructors who adopt the book as a textbook for a course.
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