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Cosserat Continuum Mechanics - With Applications to Granular Media (Paperback, Softcover reprint of the original 1st ed. 2019)
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Cosserat Continuum Mechanics - With Applications to Granular Media (Paperback, Softcover reprint of the original 1st ed. 2019)
Series: Lecture Notes in Applied and Computational Mechanics, 87
Expected to ship within 10 - 15 working days
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This textbook explores the theory of Cosserat continuum mechanics,
and covers fundamental tools, general laws and major models, as
well as applications to the mechanics of granular media. While
classical continuum mechanics is based on the axiom that the stress
tensor is symmetric, theories such as that expressed in the seminal
work of the brothers Eugene and Francois Cosserat are characterized
by a non-symmetric stress tensor. The use of von Mises motor
mechanics is introduced, for the compact mathematical description
of the mechanics and statics of Cosserat continua, as the Cosserat
continuum is a manifold of oriented "rigid particles" with 3 dofs
of displacement and 3 dofs of rotation, rather than a manifold of
points with 3 dofs of displacement. Here, the analysis is
restricted to infinitesimal particle displacements and rotations.
This book is intended as a valuable supplement to standard
Continuum Mechanics courses, and graduate students as well as
researchers in mechanics and applied mathematics will benefit from
its self-contained text, which is enriched by numerous examples and
exercises.
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