By Jerrold E. Marsden,Thomas J. R. Hughes
This advanced-level examine ways mathematical foundations of three-d elasticity utilizing smooth differential geometry and practical research. it's directed to mathematicians, engineers and physicists who desire to see this classical topic in a contemporary atmosphere with examples of more recent mathematical contributions. must haves comprise a superb heritage in complicated calculus and the fundamentals of geometry and sensible analysis.
The first chapters disguise the heritage geometry ― constructed as wanted ― and use this dialogue to procure the fundamental effects on kinematics and dynamics of continuing media. next chapters take care of elastic fabrics, linearization, variational rules, using practical research in elasticity, and bifurcation thought. rigorously chosen difficulties are interspersed all through, whereas a wide bibliography rounds out the text.
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Mathematical Foundations of Elasticity (Dover Civil and Mechanical Engineering) by Jerrold E. Marsden,Thomas J. R. Hughes