Some Problems in Elastic-plastic Wave Propagation in Orthotropic and Transverse Isotropic Media

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Release : 1971
Genre : Elasticity
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Some Problems in Elastic-plastic Wave Propagation in Orthotropic and Transverse Isotropic Media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Some Problems in Elastic-plastic Wave Propagation in Orthotropic and Transverse Isotropic Media write by Yussef Sheikholeslam-I-Noori. This book was released on 1971. Some Problems in Elastic-plastic Wave Propagation in Orthotropic and Transverse Isotropic Media available in PDF, EPUB and Kindle.

Elastic wave propagation in transversely isotropic media

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Release : 1983-10-31
Genre : Science
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Book Rating : 435/5 ( reviews)

Elastic wave propagation in transversely isotropic media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elastic wave propagation in transversely isotropic media write by R.C. Payton. This book was released on 1983-10-31. Elastic wave propagation in transversely isotropic media available in PDF, EPUB and Kindle. In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.

Elastic wave propagation in transversely isotropic media

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Release : 2011-10-26
Genre : Science
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Book Rating : 677/5 ( reviews)

Elastic wave propagation in transversely isotropic media - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elastic wave propagation in transversely isotropic media write by R.C. Payton. This book was released on 2011-10-26. Elastic wave propagation in transversely isotropic media available in PDF, EPUB and Kindle. In this monograph I record those parts of the theory of transverse isotropic elastic wave propagation which lend themselves to an exact treatment, within the framework of linear theory. Emphasis is placed on transient wave motion problems in two- and three-dimensional unbounded and semibounded solids for which explicit results can be obtained, without resort to approximate methods of integration. The mathematical techniques used, many of which appear here in book form for the first time, will be of interest to applied mathematicians, engeneers and scientists whose specialty includes crystal acoustics, crystal optics, magnetogasdynamics, dislocation theory, seismology and fibre wound composites. My interest in the subject of anisotropic wave motion had its origin in the study of small deformations superposed on large deformations of elastic solids. By varying the initial stretch in a homogeneously deformed solid, it is possible to synthesize aniso tropic materials whose elastic parameters vary continuously. The range of the parameter variation is limited by stability considerations in the case of small deformations super posed on large deformation problems and (what is essentially the same thing) by the of hyperbolicity (solids whose parameters allow wave motion) for anisotropic notion solids. The full implication of hyperbolicity for anisotropic elastic solids has never been previously examined, and even now the constraints which it imposes on the elasticity constants have only been examined for the class of transversely isotropic (hexagonal crystals) materials.

Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces

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Author :
Release : 1981
Genre : Wave mechanics
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Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces write by Constantine George Caracostis. This book was released on 1981. Wave Propagation Problems in Certain Elastic Anisotropic Half Spaces available in PDF, EPUB and Kindle. The Smirnov-Sobolev method of self-similar potentials is used to solve certain wave propagation problems in anisotropic media. The solutions are expressed in terms of analytic functions which are determined from the boundary conditions in a straightforward manner. Two types of problems are considered. The first type concerns the two-dimensional case of an orthotropic material under plain-strain conditions subjected to a suddenly applied line force on the surface or in the interior of a half space. The second type treats the three-dimensional problem of a point force suddenly applied on the surface of a transversely isotropic half space. This solution is formed, in general, by a rotational superposition of the solutions for a plane strain and for an antiplane problem with appropriately defined boundary conditions. The mapping of the wave fields in the complex domain composed of a four-sheeted Riemann surface is examined in detail. Some of the techniques used in the numerical treatment of certain singularities are briefly discussed. The numerical results are given in the form of the time histories for the displacements and stresses in the two-dimensional case and as time histories of only the displacements in the three-dimensional case. (Author).

Dissertation Abstracts International

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Release : 1993-10
Genre : Dissertations, Academic
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Dissertation Abstracts International - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dissertation Abstracts International write by . This book was released on 1993-10. Dissertation Abstracts International available in PDF, EPUB and Kindle.