Titlebook: Nonlinear Elastic Waves in Materials; Jeremiah J. Rushchitsky Book 2014 Springer International Publishing Switzerland 2014 Five-constant M

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Introduction,e mechanics of materials, and a way for the theoretical modeling of nonlinear deformation of elastic materials that is based on geometrical and physical nonlinearities. The second part is devoted to three examples from the history of the theory of nonlinear waves: (1) Riemann simple waves, presentin

MOTTO

deface

Elastic Materials,properties including the property of elasticity. One of the oldest and developed parts of continuum mechanics is the classical theory of elasticity. This chapter includes the essential information on the basic kinematic and dynamic concepts of the nonlinear theory of elasticity. This information can

Original

The Simplest Linear Waves in Elastic Materials,f elasticity, volume and shear waves, the classic wave equation and basic facts associated with it, features, and terminology. The classic examples of breaking the correctness in mathematical statements (Helmholtz and Taylor instabilities and as well as Hadamard example and John sentence) are propos

評(píng)論性

Nonlinear Plane Transverse Waves in Elastic Materials (Murnaghan Model, Five-Constant Model),s, and subsequently, the statement is divided into two parts. In the first part the quadratically nonlinear waves are discussed. The second part includes an analysis of the following nonlinear approach—simultaneous allowance for quadratic and cubic nonlinearities. Part 1 is devoted to solving the se

字謎游戲

Nonlinear Plane Waves in Hypoelastic Materials,. In the first part, the main facts from the theory of hypoelastic materials and the basic notions are introduced and discussed, and the necessary information on elastic plane waves is given. Part 2 is devoted to the transition from the general nonlinear case to a linearized model of hypoelastic mat

寬容

Nonlinear Plane Waves in Elastic Mixtures (Elastic Composite Materials),astic composite materials). It is divided into four parts. The first part is devoted to a derivation of nonlinear wave equations for elastic two-component mixtures for both isotropic elastic two-component mixtures and orthotropic elastic two-component mixtures.

犬儒主義者

Nonlinear Rayleigh and Love Surface Waves in Elastic Materials,vided into two parts. In the first part, the Rayleigh wave is analyzed. In the first subsection, elastic surface waves are described, and then the basic moments in the theory of elastic linear Rayleigh surface waves are shown. Further, nonlinear elastic Rayleigh surface waves are discussed, which in

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