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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Modeling Nonlinear Problems in the Mechanics of Strings and Rods - The Role of the Balance Laws (Hardcover, 1st ed. 2017)
Loot Price: R1,976
Discovery Miles 19 760
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Modeling Nonlinear Problems in the Mechanics of Strings and Rods - The Role of the Balance Laws (Hardcover, 1st ed. 2017)
Series: Interaction of Mechanics and Mathematics
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This book presents theories of deformable elastic strings and rods
and their application to broad classes of problems. Readers will
gain insights into the formulation and analysis of models for
mechanical and biological systems. Emphasis is placed on how the
balance laws interplay with constitutive relations to form a set of
governing equations. For certain classes of problems, it is shown
how a balance of material momentum can play a key role in forming
the equations of motion. The first half of the book is devoted to
the purely mechanical theory of a string and its applications. The
second half of the book is devoted to rod theories, including
Euler's theory of the elastica, Kirchhoff 's theory of an elastic
rod, and a range of Cosserat rod theories. A variety of classic and
recent applications of these rod theories are examined. Two
supplemental chapters, the first on continuum mechanics of
three-dimensional continua and the second on methods from
variational calculus, are included to provide relevant background
for students. This book is suited for graduate-level courses on the
dynamics of nonlinearly elastic rods and strings.
General
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