Multi-Dimensional Wave Propagation in Solids Due to Impact Loading by the Method of Characteristics. Case 1. Computational Method for Two-Dimensional Waves in a Linear Elastic Solid PDF Download
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Author: Moche Ziv Publisher: ISBN: Category : Languages : en Pages : 67
Book Description
A computational method is presented for the solution of multi-dimensional hyperbolic partial differential equations governing the dynamic deformation of solids. The method is based on characteristics formulation of the hyperbolic differential equations. Thus generated waves are located in the medium and the differential equations holding along these waves are obtained. The algorithm consists of a new method which evaluates the unknown variables along the leading wave and then couples the first generator to the motion behind it. The unknowns along the leading wave are resolved by means of kinematic and dynamic conditions existing across this wave. The entire multi-dimensional solution domain is then linked to the leading wave by the method of characteristics. The mathematical avenues used to develop this computational method are potentially capable of solving multi-dimensional wave problems in various types of solids. As a first step in the report, the described technique is confined to field equations defining the deformation of a linear elastic solid in two-space and time independent variables. (Author).
Author: Moche Ziv Publisher: ISBN: Category : Languages : en Pages : 67
Book Description
A computational method is presented for the solution of multi-dimensional hyperbolic partial differential equations governing the dynamic deformation of solids. The method is based on characteristics formulation of the hyperbolic differential equations. Thus generated waves are located in the medium and the differential equations holding along these waves are obtained. The algorithm consists of a new method which evaluates the unknown variables along the leading wave and then couples the first generator to the motion behind it. The unknowns along the leading wave are resolved by means of kinematic and dynamic conditions existing across this wave. The entire multi-dimensional solution domain is then linked to the leading wave by the method of characteristics. The mathematical avenues used to develop this computational method are potentially capable of solving multi-dimensional wave problems in various types of solids. As a first step in the report, the described technique is confined to field equations defining the deformation of a linear elastic solid in two-space and time independent variables. (Author).
Author: Jan Achenbach Publisher: Elsevier ISBN: 0080934714 Category : Science Languages : en Pages : 440
Book Description
The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.
Author: Lee Davison Publisher: Springer Science & Business Media ISBN: 3540745696 Category : Science Languages : en Pages : 439
Book Description
My intent in writing this book is to present an introduction to the thermo- chanical theory required to conduct research and pursue applications of shock physics in solid materials. Emphasis is on the range of moderate compression that can be produced by high-velocity impact or detonation of chemical exp- sives and in which elastoplastic responses are observed and simple equations of state are applicable. In the interest of simplicity, the presentation is restricted to plane waves producing uniaxial deformation. Although applications often - volve complex multidimensional deformation fields it is necessary to begin with the simpler case. This is also the most important case because it is the usual setting of experimental research. The presentation is also restricted to theories of material response that are simple enough to permit illustrative problems to be solved with minimal recourse to numerical analysis. The discussions are set in the context of established continuum-mechanical principles. I have endeavored to define the quantities encountered with some care and to provide equations in several convenient forms and in a way that lends itself to easy reference. Thermodynamic analysis plays an important role in continuum mechanics, and I have included a presentation of aspects of this subject that are particularly relevant to shock physics. The notation adopted is that conventional in expositions of modern continuum mechanics, insofar as possible, and variables are explained as they are encountered. Those experienced in shock physics may find some of the notation unconventional.
Author: Yasuyuki Horie Publisher: Springer Science & Business Media ISBN: 3540770801 Category : Science Languages : en Pages : 294
Book Description
This book is the second volume of Solids Volumes in theShockWaveScience and Technology Reference Library. These volumes are primarily concerned with high-pressure shock waves in solid media, including detonation and hi- velocity impact and penetration events. This volume contains four articles. The ?rst two describe the reactive behavior of condensed-phase explosives, and the remaining two discuss the inert, mechanical response of solid materials. The articles are each se- contained, and can be read independently of each other. They o?er a timely reference, for beginners as well as professional scientists and engineers, cov- ing the foundations and the latest progress, and include burgeoning devel- ment as well as challenging unsolved problems. The ?rst chapter, by S. She?eld and R. Engelke, discusses the shock initiation and detonation phenomena of solids explosives. The article is an outgrowth of two previous review articles: “Explosives” in vol. 6 of En- clopedia of Applied Physics (VCH, 1993) and “Initiation and Propagation of Detonation in Condensed-Phase High Explosives” in High-Pressure Shock Compression of Solids III (Springer, 1998). This article is not only an - dated review, but also o?ers a concise heuristic introduction to shock waves and condensed-phase detonation. The authors emphasize the point that d- onation is not an uncontrollable, chaotic event, but that it is an orderly event that is governed by and is describable in terms of the conservation of mass, momentum, energy and certain material-speci?c properties of the explosive.
Author: Moche Ziv
Author: Moche Ziv
Author: M. Ziv
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Author: Julius Miklowitz
Author: Jan Achenbach
Author: Lee Davison
Author: Yasuyuki Horie
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