Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Author: Tatiana Aleksandrovna Khantuleva

Publisher:

Published: 2022

Total Pages: 0

ISBN-13: 9788981192402

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This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress-strain relationships derived with relaxation and inertia effect in elastic-plastic transition determines material properties in transient regimes.


Book Synopsis Mathematical Modeling of Shock-Wave Processes in Condensed Matter by : Tatiana Aleksandrovna Khantuleva

Download or read book Mathematical Modeling of Shock-Wave Processes in Condensed Matter written by Tatiana Aleksandrovna Khantuleva and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress-strain relationships derived with relaxation and inertia effect in elastic-plastic transition determines material properties in transient regimes.

Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Mathematical Modeling of Shock-Wave Processes in Condensed Matter

Author: Tatiana Aleksandrovna Khantuleva

Publisher: Springer Nature

Published: 2022-07-18

Total Pages: 347

ISBN-13: 981192404X

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This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress–strain relationships derived with relaxation and inertia effect in elastic–plastic transition determines material properties in transient regimes.


Book Synopsis Mathematical Modeling of Shock-Wave Processes in Condensed Matter by : Tatiana Aleksandrovna Khantuleva

Download or read book Mathematical Modeling of Shock-Wave Processes in Condensed Matter written by Tatiana Aleksandrovna Khantuleva and published by Springer Nature. This book was released on 2022-07-18 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an interdisciplinary theoretical approach based on non-equilibrium statistical thermodynamics and control theory for mathematically modeling shock-induced out-of-equilibrium processes in condensed matter. The book comprises two parts. The first half of the book establishes the theoretical approach, reviewing fundamentals of non-equilibrium statistical thermodynamics and control theory of adaptive systems. The latter half applies the presented approach to a problem on shock-induced plane wave propagation in condensed matter. The result successfully reproduces the observed feature of waveform propagation in experiments, which conventional continuous mechanics cannot access. Further, the consequent stress–strain relationships derived with relaxation and inertia effect in elastic–plastic transition determines material properties in transient regimes.

Shock Wave Compression of Condensed Matter

Shock Wave Compression of Condensed Matter

Author: Jerry W Forbes

Publisher: Springer Science & Business Media

Published: 2013-02-01

Total Pages: 388

ISBN-13: 3642325351

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This book introduces the core concepts of the shock wave physics of condensed matter, taking a continuum mechanics approach to examine liquids and isotropic solids. The text primarily focuses on one-dimensional uniaxial compression in order to show the key features of condensed matter’s response to shock wave loading. The first four chapters are specifically designed to quickly familiarize physical scientists and engineers with how shock waves interact with other shock waves or material boundaries, as well as to allow readers to better understand shock wave literature, use basic data analysis techniques, and design simple 1-D shock wave experiments. This is achieved by first presenting the steady one-dimensional strain conservation laws using shock wave impedance matching, which insures conservation of mass, momentum and energy. Here, the initial emphasis is on the meaning of shock wave and mass velocities in a laboratory coordinate system. An overview of basic experimental techniques for measuring pressure, shock velocity, mass velocity, compression and internal energy of steady 1-D shock waves is then presented. In the second part of the book, more advanced topics are progressively introduced: thermodynamic surfaces are used to describe equilibrium flow behavior, first-order Maxwell solid models are used to describe time-dependent flow behavior, descriptions of detonation shock waves in ideal and non-ideal explosives are provided, and lastly, a select group of current issues in shock wave physics are discussed in the final chapter.


Book Synopsis Shock Wave Compression of Condensed Matter by : Jerry W Forbes

Download or read book Shock Wave Compression of Condensed Matter written by Jerry W Forbes and published by Springer Science & Business Media. This book was released on 2013-02-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the core concepts of the shock wave physics of condensed matter, taking a continuum mechanics approach to examine liquids and isotropic solids. The text primarily focuses on one-dimensional uniaxial compression in order to show the key features of condensed matter’s response to shock wave loading. The first four chapters are specifically designed to quickly familiarize physical scientists and engineers with how shock waves interact with other shock waves or material boundaries, as well as to allow readers to better understand shock wave literature, use basic data analysis techniques, and design simple 1-D shock wave experiments. This is achieved by first presenting the steady one-dimensional strain conservation laws using shock wave impedance matching, which insures conservation of mass, momentum and energy. Here, the initial emphasis is on the meaning of shock wave and mass velocities in a laboratory coordinate system. An overview of basic experimental techniques for measuring pressure, shock velocity, mass velocity, compression and internal energy of steady 1-D shock waves is then presented. In the second part of the book, more advanced topics are progressively introduced: thermodynamic surfaces are used to describe equilibrium flow behavior, first-order Maxwell solid models are used to describe time-dependent flow behavior, descriptions of detonation shock waves in ideal and non-ideal explosives are provided, and lastly, a select group of current issues in shock wave physics are discussed in the final chapter.

Shock Wave Science and Technology Reference Library, Vol. 2

Shock Wave Science and Technology Reference Library, Vol. 2

Author: Y. Horie

Publisher: Springer Science & Business Media

Published: 2007-04-26

Total Pages: 381

ISBN-13: 3540684085

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This book is the first of several volumes on solids in the Shock Wave Science and Technology Reference Library. This is a unique collection, and the library as a whole sets out to comprehensively and authoritatively cover and review at research level the subject matter with all its ramifications. All the chapters are self-contained and can be read independently of each other, though they are of course thematically interrelated.


Book Synopsis Shock Wave Science and Technology Reference Library, Vol. 2 by : Y. Horie

Download or read book Shock Wave Science and Technology Reference Library, Vol. 2 written by Y. Horie and published by Springer Science & Business Media. This book was released on 2007-04-26 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of several volumes on solids in the Shock Wave Science and Technology Reference Library. This is a unique collection, and the library as a whole sets out to comprehensively and authoritatively cover and review at research level the subject matter with all its ramifications. All the chapters are self-contained and can be read independently of each other, though they are of course thematically interrelated.

Shock-Wave Phenomena and the Properties of Condensed Matter

Shock-Wave Phenomena and the Properties of Condensed Matter

Author: Gennady I. Kanel

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 330

ISBN-13: 1475742827

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One of the main goals of investigations of shock-wave phenomena in condensed matter is to develop methods for predicting effects of explosions, high-velocity collisions, and other kinds of intense dynamic loading of materials and structures. Based on the results of international research conducted over the past 30 years, this book is addressed not only to experts in shock-wave physics, but also to interested representatives from adjacent fields of activity and to students who seek an introduction to the current issues.


Book Synopsis Shock-Wave Phenomena and the Properties of Condensed Matter by : Gennady I. Kanel

Download or read book Shock-Wave Phenomena and the Properties of Condensed Matter written by Gennady I. Kanel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main goals of investigations of shock-wave phenomena in condensed matter is to develop methods for predicting effects of explosions, high-velocity collisions, and other kinds of intense dynamic loading of materials and structures. Based on the results of international research conducted over the past 30 years, this book is addressed not only to experts in shock-wave physics, but also to interested representatives from adjacent fields of activity and to students who seek an introduction to the current issues.

Shock Waves in Condensed Matter

Shock Waves in Condensed Matter

Author: Y. M. Gupta

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 922

ISBN-13: 1461322073

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The Fourth American Physical Society Topical Conference on Shock Waves in Condensed Matter was held in Spokane, Washington, July 22-25, 1985. Two hundred and fifty scientists and engineers representing thirteen countries registered at the conference. The countries represented included the United States of America, Australia, Canada, The People's Repub lic of China, France, India, Israel, Japan, Republic of China (Taiwan), United Kingdom, U. S. S. R, Switzerland and West Germany. One hundred and sixty-two technical papers, cov ering recent developments in shock wave and high pressure physics, were presented. All of the abstracts have been published in the September 1985 issue of the Bulletin of the American Physical Society. The topical conferences, held every two years since 1979, have become the principal forum for shock wave studies in condensed materials. Both formal and informal technical discussions regarding recent developments conveyed a sense of excitement. Consistent with the past conferences, the purpose of this conference was to bring together scientists and engineers studying the response of condensed matter to dynamic high pressures and temperatures. Papers covering experimental, theoretical, and numerical studies of con densed matter properties were presented. A noteworthy feature of this conference was the participation by several leading scientists engaged in static high pressure research. Donald Curran served as the Master of Ceremonies at the conference banquet, which was at tended by two hundred and seventy-five conference participants and guests including Dr. Samuel Smith, the new President of Washington State University. Dr.


Book Synopsis Shock Waves in Condensed Matter by : Y. M. Gupta

Download or read book Shock Waves in Condensed Matter written by Y. M. Gupta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth American Physical Society Topical Conference on Shock Waves in Condensed Matter was held in Spokane, Washington, July 22-25, 1985. Two hundred and fifty scientists and engineers representing thirteen countries registered at the conference. The countries represented included the United States of America, Australia, Canada, The People's Repub lic of China, France, India, Israel, Japan, Republic of China (Taiwan), United Kingdom, U. S. S. R, Switzerland and West Germany. One hundred and sixty-two technical papers, cov ering recent developments in shock wave and high pressure physics, were presented. All of the abstracts have been published in the September 1985 issue of the Bulletin of the American Physical Society. The topical conferences, held every two years since 1979, have become the principal forum for shock wave studies in condensed materials. Both formal and informal technical discussions regarding recent developments conveyed a sense of excitement. Consistent with the past conferences, the purpose of this conference was to bring together scientists and engineers studying the response of condensed matter to dynamic high pressures and temperatures. Papers covering experimental, theoretical, and numerical studies of con densed matter properties were presented. A noteworthy feature of this conference was the participation by several leading scientists engaged in static high pressure research. Donald Curran served as the Master of Ceremonies at the conference banquet, which was at tended by two hundred and seventy-five conference participants and guests including Dr. Samuel Smith, the new President of Washington State University. Dr.

Multiscale Mechanics of Shock Wave Processes

Multiscale Mechanics of Shock Wave Processes

Author: Yurii Meshcheryakov

Publisher: Springer Nature

Published: 2021-09-30

Total Pages: 196

ISBN-13: 9811645302

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This book presents theoretical and experimental investigations of mechanical behavior of solids under shock loading and highlights a multi-scale exchange process of energy and momentum between meso and macroscopic hierarchy. It also widely covers experimental approaches for the multi-scale response of solids to impacts including uniaxial strain conditions and high-velocity penetration processes. The content comprises two parts. The first part overviews modeling and theory of dynamically deformed solids from the multi-scale point of view. The second part describes experimental characterization of shock-induced solids and experimental probing of mesostructured and mesoscale dynamic processes in solids. The theory presented in the first part is then verified as it is compared with i) experiments of shock loading into different kinds of solids and ii) probed microstructure of post-shocked specimens by scanning electron microscopy, transmission electron microscopy and optical microscopy. The text is written on the basis of author’s lectures at universities and thus is concisely described for postgraduate students. It is also useful for researchers who work on the theory of multi-scale mechanics of solids and engineers who work on testing materials under dynamic loading.


Book Synopsis Multiscale Mechanics of Shock Wave Processes by : Yurii Meshcheryakov

Download or read book Multiscale Mechanics of Shock Wave Processes written by Yurii Meshcheryakov and published by Springer Nature. This book was released on 2021-09-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents theoretical and experimental investigations of mechanical behavior of solids under shock loading and highlights a multi-scale exchange process of energy and momentum between meso and macroscopic hierarchy. It also widely covers experimental approaches for the multi-scale response of solids to impacts including uniaxial strain conditions and high-velocity penetration processes. The content comprises two parts. The first part overviews modeling and theory of dynamically deformed solids from the multi-scale point of view. The second part describes experimental characterization of shock-induced solids and experimental probing of mesostructured and mesoscale dynamic processes in solids. The theory presented in the first part is then verified as it is compared with i) experiments of shock loading into different kinds of solids and ii) probed microstructure of post-shocked specimens by scanning electron microscopy, transmission electron microscopy and optical microscopy. The text is written on the basis of author’s lectures at universities and thus is concisely described for postgraduate students. It is also useful for researchers who work on the theory of multi-scale mechanics of solids and engineers who work on testing materials under dynamic loading.

Hydrodynamics of Explosion

Hydrodynamics of Explosion

Author: Valery K. Kedrinskiy

Publisher: Springer Science & Business Media

Published: 2005-11-04

Total Pages: 372

ISBN-13: 3540285636

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Hydronamics of Explosion presents the research results for the problems of underwater explosions and contains a detailed analysis of the structure and the parameters of the wave fields generated by explosions of cord and spiral charges, a description of the formation mechanisms for a wide range of cumulative flows at underwater explosions near the free surface, and the relevant mathematical models. Shock-wave transformation in bubbly liquids, shock-wave amplification due to collision and focusing, and the formation of bubble detonation waves in reactive bubbly liquids are studied in detail. Particular emphasis is placed on the investigation of wave processes in cavitating liquids, which incorporates the concepts of the strength of real liquids containing natural microinhomogeneities, the relaxation of tensile stress, and the cavitation fracture of a liquid as the inversion of its two-phase state under impulsive (explosive) loading. The problems are classed among essentially nonlinear processes that occur under shock loading of liquids and may be of interest to researchers in physical acoustics, mechanics of multiphase media, shock-wave processes in condensed media, explosive hydroacoustics, and cumulation.


Book Synopsis Hydrodynamics of Explosion by : Valery K. Kedrinskiy

Download or read book Hydrodynamics of Explosion written by Valery K. Kedrinskiy and published by Springer Science & Business Media. This book was released on 2005-11-04 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydronamics of Explosion presents the research results for the problems of underwater explosions and contains a detailed analysis of the structure and the parameters of the wave fields generated by explosions of cord and spiral charges, a description of the formation mechanisms for a wide range of cumulative flows at underwater explosions near the free surface, and the relevant mathematical models. Shock-wave transformation in bubbly liquids, shock-wave amplification due to collision and focusing, and the formation of bubble detonation waves in reactive bubbly liquids are studied in detail. Particular emphasis is placed on the investigation of wave processes in cavitating liquids, which incorporates the concepts of the strength of real liquids containing natural microinhomogeneities, the relaxation of tensile stress, and the cavitation fracture of a liquid as the inversion of its two-phase state under impulsive (explosive) loading. The problems are classed among essentially nonlinear processes that occur under shock loading of liquids and may be of interest to researchers in physical acoustics, mechanics of multiphase media, shock-wave processes in condensed media, explosive hydroacoustics, and cumulation.

Selected Topics In Shock Wave Physics And Equation Of State Modeling

Selected Topics In Shock Wave Physics And Equation Of State Modeling

Author: G Roger Gathers

Publisher: World Scientific

Published: 1994-04-28

Total Pages: 281

ISBN-13: 9814502251

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This book deals primarily with the basic concepts used in shock wave physics for measuring the equation of state of materials for high pressures. It provides considerably more detail in the development of the material than any competing book. The material on EOS modeling describes the basic physics models used and the form they take in hydrocodes. The models chosen are selected to show the wide variety of treatments. Written for teaching seminars, the book should benefit graduate students and interested physicists and engineers engaged in impact physics.


Book Synopsis Selected Topics In Shock Wave Physics And Equation Of State Modeling by : G Roger Gathers

Download or read book Selected Topics In Shock Wave Physics And Equation Of State Modeling written by G Roger Gathers and published by World Scientific. This book was released on 1994-04-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals primarily with the basic concepts used in shock wave physics for measuring the equation of state of materials for high pressures. It provides considerably more detail in the development of the material than any competing book. The material on EOS modeling describes the basic physics models used and the form they take in hydrocodes. The models chosen are selected to show the wide variety of treatments. Written for teaching seminars, the book should benefit graduate students and interested physicists and engineers engaged in impact physics.

Fundamentals of Shock Wave Propagation in Solids

Fundamentals of Shock Wave Propagation in Solids

Author: Lee Davison

Publisher: Springer Science & Business Media

Published: 2008-05-07

Total Pages: 439

ISBN-13: 3540745688

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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.


Book Synopsis Fundamentals of Shock Wave Propagation in Solids by : Lee Davison

Download or read book Fundamentals of Shock Wave Propagation in Solids written by Lee Davison and published by Springer Science & Business Media. This book was released on 2008-05-07 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.