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Author: Munirathnam Valathur Publisher: ISBN: Category : Elastic wave propagation Languages : en Pages : 116
Book Description
Lubliner suggested that the uniaxial constitutive equation (1.1) be used in the numerical solution of wave-propagation problems, and that the results approximating those of either hypothesis may be obtained in extreme cases. He further showed on the basis of an extremely simple, piece-wise linear, model of plastic-viscoplastic behavior, that results approaching the viscoplastic hypothesis will be obtained under one or more of the following circumstances: (1) weak impact, (2) long bar, (3) short 'relaxation' time (or natural time of the material); that converse conditions will lead to results approaching the plastic hypothesis; and that intermediate conditions require the use of the general constitutive equation. The purpose of the present study is to test further the validity of Lubliner's suggestions by means of numerical solutions of representative wave-propagation problems in bars whose mechanical behavior is described by the uniaxial constitutive equation, slightly modified to account for loading-unloading behavior.
Author: Munirathnam Valathur Publisher: ISBN: Category : Elastic wave propagation Languages : en Pages : 116
Book Description
Lubliner suggested that the uniaxial constitutive equation (1.1) be used in the numerical solution of wave-propagation problems, and that the results approximating those of either hypothesis may be obtained in extreme cases. He further showed on the basis of an extremely simple, piece-wise linear, model of plastic-viscoplastic behavior, that results approaching the viscoplastic hypothesis will be obtained under one or more of the following circumstances: (1) weak impact, (2) long bar, (3) short 'relaxation' time (or natural time of the material); that converse conditions will lead to results approaching the plastic hypothesis; and that intermediate conditions require the use of the general constitutive equation. The purpose of the present study is to test further the validity of Lubliner's suggestions by means of numerical solutions of representative wave-propagation problems in bars whose mechanical behavior is described by the uniaxial constitutive equation, slightly modified to account for loading-unloading behavior.
Author: W. K. Nowacki Publisher: Elsevier ISBN: 1483153932 Category : Science Languages : en Pages : 259
Book Description
Stress Waves in Non-Elastic Solids is a comprehensive presentation of the principles underlying the propagation of stress waves in non-elastic solids, with emphasis on wave problems in the theory of plasticity. This book exposes wave propagation problems for a range of material responses and justifies the hypotheses introduced in specialized theories and the simplifications made in the analysis of particular problems. Both analytical and numerical methods of solving problems are described, and a large number of solutions to specific problems of wave propagation in inelastic solids are given. This book is comprised of six chapters and begins with an overview of the fundamental equations of the dynamics of inelastic media. The dynamical properties of metals and soils are discussed, offering an account of the most representative theories of plasticity and viscoplasticity. The next chapter considers the basic definitions of discontinuity surfaces and the conditions that must to be satisfied across these surfaces. Certain mathematical fundamentals are given, referring to systems of differential equations, quasi-linear and semi-linear, of the first order. Initial and boundary value problems for hyperbolic equations are also formulated. The remaining chapters focus on methods of solving stress wave propagation problems, including one-dimensional plane waves and longitudinal-transverse waves. Wave propagation problems for elastic-plastic and elastic/viscoplastic media are treated in detail, along with the most important problem of shock waves in metals and soils. The last chapter deals with thermal wave propagation problems. This monograph will be a valuable resource for students and practitioners of engineering, physics, and mathematics.
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: Stanford University. Division of Engineering Mechanics Publisher: ISBN: Category : Languages : en Pages : 14
Book Description
The problem of moving boundaries separating elastic regions from plastic regions in one dimensional plastic wave propagation was considered by several investigators. These boundaries are called unloading waves if the material at a section changes from a plastic state to an elastic state as the wave passes the section. If the material changes from an elastic state to a plastic state, the moving boundary is called a loading wave. It was shown by other authors that the speed of an unloading wave or a loading wave must satisfy certain conditions if the time derivatives of the stress sigma sub t, on both sides of the elastic-plastic boundary are not zero. The purpose of the note is to clarify the situation in which sigma sub t and its higher derivatives are zero on both sides of the elastic-plastic boundary. (Author).
Author: Lili Wang Publisher: Elsevier ISBN: 0080470971 Category : Technology & Engineering Languages : en Pages : 549
Book Description
The primary objective of Foundations of Stress Waves is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems. Helps engineers understand the effects and behavior of stress waves in various materials Aids in the process of engineering design, testing, and evaluation
Author: Munirathnam Valathur
Author: Munirathnam Valathur
Author: W. K. Nowacki
Author: 
Author: Yussef Sheikholeslam-I-Noori
Author: Lee Davison
Author: 
Author: Hsuan-Chi Lin
Author: Song Gong
Author: Stanford University. Division of Engineering Mechanics
Author: Lili Wang