Amplification of Nonlinear Strain Waves in Solids. Series on Stability, Vibration and Control of Systems, Volume 9

A treatment of the amplification of nonlinear strain waves in solids. It addresses two problems simultaneously: the sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; and the demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification...
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A treatment of the amplification of nonlinear strain waves in solids. It addresses two problems simultaneously: the sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; and the demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The volume's main features are: nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; and an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation. The work should be suitable for introducing readers in mechanics, mechanical engineering and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It should also be useful for self-study by professionals in all areas of nonlinear physics.