This book presents the nonlinear theory of continuum mechanics and
demonstrates its use in developing nonlinear computer formulations
for large displacement dynamic analysis. Basic concepts used in
continuum mechanics are presented and used to develop nonlinear
general finite element formulations that can be effectively used in
large displacement analysis. The book considers two nonlinear
finite element dynamic formulations: a general large deformation
finite element formulation and a formulation that can efficiently
solve small deformation problems that characterize very stiff
structures. The book presents material clearly and systematically,
assuming the reader has only basic knowledge in matrix and vector
algebra and dynamics. The book is designed for use by advanced
undergraduates and first-year graduate students. It is also a
reference for researchers, practicing engineers, and scientists
working in computational mechanics, bio-mechanics, computational
biology, multibody system dynamics, and other fields of science and
engineering using the general continuum mechanics theory.
General
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