Nonlinear Problems of Elasticity, S. S. Antman

Nonlinear Problems of Elasticity by S. S. Antman addresses specific problems of nonlinear elasticity, emphasizing the role of nonlinear materials response. Opening chapters discuss strings, rods, and shells, and purposes of bifurcation theory as well as the calculus of variations to problems for these bodies. Each and every chapter consists of fascinating, challenging, and tractable workouts.

It is devoted towards the in depth research of illuminating specific problems of nonlinear elasticity, directed toward the scientist, engineer, and mathematician who want to see careful treatments of precisely formulated problems. Unique emphasis is positioned around the role of nonlinear materials reaction.

The mathematical tools from nonlinear evaluation are given self-contained presentations where they’re necessary. This book starts with chapters on strings, rods, and shells, and on the applications of bifurcation concept plus the calculus of versions to problems for these bodies.

The Nonlinear Problems of Elasticity book carries on with chapters on tensors, three-dimensional continuum mechanics, three-dimensional elasticity, large-strain plasticity, basic theories of rods and shells, and dynamical problems. Each chapter consists of prosperity of fascinating, challenging, and tractable workouts.

This textbook is defined as a regular investigation reference in elasticity but will be appreciated also by academics of each strong mechanics and used evaluation for its obvious derivation of equations and prosperity of examples.

For graduate college students, it offers a interesting introduction to an active area of mathematical research. It really is extremely suggested to all scientists, engineers and mathematicians, considering designs of uncompromised nonlinear problems of elasticity. Nonlinear Problems of Elasticity is a `must have’ for applied mathematicians.

Nonlinear Problems of Elasticity

Stuart Antman
Springer; 2nd edition
856 pages

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