6 edition of Amplification of nonlinear strain waves in solids found in the catalog.
|Statement||Alexey V. Porubov.|
|The Physical Object|
|Pagination||xiv, 213 p. :|
|Number of Pages||213|
Amplification Of Nonlinear Strain Waves In Solids, and many other ebooks. Download: ALTEON GUIDE PDF We have made it easy for you to find a PDF Ebooks without any digging. Among many other achievements, he developed the mathematical theory of non-linear strain waves in elastic wave guides and on surfaces, predicted the existence and amplification of strain solitons, initiated and led the pioneering experiments for their generation in solids, in which solitons were discovered, and therefore, the deformation energy.
Nonlinear wave propagation in materials, where distribution function of mesoscopic mechanical elements has very different scales of variation along and normally to diagonal of Preisach–Mayergoyz space, is analyzed. An evolution equation for strain wave, which takes into account localization of element distribution near the diagonal and its slow variation along the Cited by: An event of the amplification of exohiss as well as chorus waves was recorded by Van Allen Probes during the recovery phase of a weak geomagnetic storm. Amplitudes of both types of the waves showed a significant increase at Cited by: 3.
waves on the ocean, sound waves in the air or other media, and electromagnetic waves, of which visible light is a special case. A common feature of these examples is that they all can be described by partial differential equations (PDE). The purpose of these lecture notes is to give an introduction to various kinds of PDE describing Size: 1MB. 1 Differential Equations for Solid Mechanics Simple problems involving homogeneous stress states have been considered so far, wherein the stress is the same throughout the component under study. An exception to this was the varying stress field in the loaded beam, but there a simplified set of elasticity equations was Size: KB.
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Amplification of Nonlinear Strain Waves in Solids (Series on Stability, Vibration and Control of Systems, Series A, 9) Find all the books, read about the author, and by: 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 main features of the book are: (1) nonlinear models of the strain wave evolution in. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave.
A treatment of the amplification of nonlinear strain waves in solids. It 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.
Book Description: This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes.
Amplification Of Nonlinear Strain Waves In Solids A. Porubov. However, geometrical inhomogeneities of the waveguide, influence of an external medium or microstructure of the wave-guide material may result in an amplification of the strain wave causing the appearance of plasticity zones or micro cracks and eventually the breakdown of a by: 2.
If the address matches an existing account you will receive an email with instructions to reset your password. Analytical modeling of essentially nonlinear strain waves in solids is developed based on a proper assumption about their complex internal structure.
Amplification of Nonlinear Strain Waves. Amplification of Nonlinear Strain Waves in Solids 58 USA by L.H. Thomas (). That is why it is known in the West as the Thomas method Morton and Mayers (); Richtmyer and Morton ().
As noted in Godunov and Ryaben'kii (), this method is justified for the solutions of linear problems. Abstract. Strain wave propagation in nonlinearly elastic wave guides is considered.
The general idea is how, starting from the first principles, to reduce the initial highly nonlinear elastic wave problem governed by coupled p.d.e. to the only one “double dispersion” equation, describing longitudinal strain waves in a one-dimensional wave guide, Cited by: The governing non-linear equation for longitudinal strain waves is obtained in the one-dimensional case.
The propagation and attenuation or amplification of bell-shaped and kink-shaped waves, whose parameters are defined in an explicit form through the parameters of the microstructured medium, are by: Geoffrey Chaucer stopped taken inthe library/amplification of nonlinear strain waves in solids series on stability vibration and of John and Agnes(de Copton) Chaucer.
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A model for the propagation of nonlinear dispersive one-dimensional longitudinal strain waves in an isotropic solid with quadratic nonlinearity of elastic continuum is developed with taking into account the interaction with atomic defect by: 2. A model for the propagation of nonlinear dispersive one-dimensional longitudinal strain waves in an isotropic solid with quadratic nonlinearity of elastic continuum is proposed by taking into.
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.
A.V. Porubov, Essentially Nonlinear Strain Waves in Solids with Complex Internal Structure. In: Mechanics of Microstructured Solids Cellular Materials, Fibre Reinforced Solids and Soft Tissues, J.-F.
Ganghoffer and Franco Pastrone (Eds.)(Springer, Berlin, ) P. – A.V. Porubov, Dissipative nonlinear strain waves in solids. Nonlinear Wave Processes in Acoustics. The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century.
The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. 1-d solid nonlinear wave finite amplitude strain solitary wave direct way one-dimensional body scalar microstructure suitable energetic functional field equation simple form euler-lagrange equation kink-shaped wave variational principle material constant general model complicated term modal equation macro dissipation attenuation amplification.
Free 2-day shipping. Buy Amplification of Nonlinear Strain Waves at nd: Alexey V Porubov. For instance, in the presence of a weak signal wave and another wave at a different frequency propagating in a nonlinear medium, the energy transfer between the two waves can lead to parametric amplification of the weak signal wave with a corresponding reduction in the intensity of the other : Mahsa Zakeri, Scott Keller, Ethan Wang, Christopher S Lynch.Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms.
The traveling solutions represent waves of high elevation that propagates without change of forms in time. These waves resemble the usual kink waves except that they do not possess bounded by: 1.
Consider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress–strain relation can then be inverted to give the strain in terms of the stress with a view to considering the incompressible limit.
For this purpose, use of the logarithmic strain Cited by: