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Books > Professional & Technical > Mechanical engineering & materials
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Elasticity and Geometry - From hair curls to the non-linear response of shells (Paperback)
Loot Price: R2,054
Discovery Miles 20 540
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Elasticity and Geometry - From hair curls to the non-linear response of shells (Paperback)
Expected to ship within 10 - 15 working days
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We experience elasticity everywhere in daily life: in the
straightening or curling of hairs, the irreversible deformations of
car bodies after a crash, or the bouncing of elastic balls in
ping-pong or soccer. The theory of elasticity is essential to the
recent developments of applied and fundamental science, such as the
bio-mechanics of DNA filaments and other macro-molecules, and the
animation of virtual characters in computer graphics and materials
science. In this book, the emphasis is on the elasticity of thin
bodies (plates, shells, rods) in connection with geometry. It
covers such topics as the mechanics of hairs (curled and straight),
the buckling instabilities of stressed plates, including folds and
conical points appearing at larger stresses, the geometric rigidity
of elastic shells, and the delamination of thin compressed films.
It applies general methods of classical analysis, including
advanced nonlinear aspects (bifurcation theory, boundary layer
analysis), to derive detailed, fully explicit solutions to specific
problems. These theoretical concepts are discussed in connection
with experiments. Mathematical prerequisites are vector analysis
and differential equations. The book can serve as a concrete
introduction to nonlinear methods in analysis.
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