Titlebook: Nonlinear Problems of Elasticity; Stuart S. Antman Book 19951st edition Springer Science+Business Media New York 1995 Extension.angular mo

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Dynamical Problems,es as an entrée to some parts of the rich and fascinating modern research on the quasilinear hyperbolic and parabolic systems applicable to elasticity. We develop the theory only in the context of concrete problems, so that we can concentrate on the effects of constitutive hypotheses.

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Applied Mathematical Scienceshttp://image.papertrans.cn/n/image/667666.jpg

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https://doi.org/10.1007/978-1-4757-4147-6Extension; angular momentum; bifurcation; elasticity; mechanics; momentum; tensor

Preamble

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General Theories of Rods and Shells,of linear and angular momentum, suffice to produce a complete theory. They are inadequate for more refined intrinsic theories. In our treatment of refined intrinsic theories in Sec. 7, we discuss the construction of the requisite additional equations of motion.

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Nonlinear Plasticity,lem. In Sec. 5 we give a general formulation of antiplane problems, whose degeneracies illuminate subtle difficulties with the concept of permanent plastic deformation. We conclude this chapter with a brief discussion of discrete models, which are used to motivate various theories.

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Book 19951st editionoblems is such that even today their descriptions are sel- dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of th

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