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Internal Variables in Thermoelasticity (Hardcover, 1st ed. 2017): Arkadi Berezovski, Peter Van Internal Variables in Thermoelasticity (Hardcover, 1st ed. 2017)
Arkadi Berezovski, Peter Van
R4,676 R3,531 Discovery Miles 35 310 Save R1,145 (24%) Ships in 12 - 19 working days

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material's reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.

Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity (Hardcover, 1st ed.... Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity (Hardcover, 1st ed. 2019)
Arkadi Berezovski, Tarmo Soomere
R2,938 Discovery Miles 29 380 Ships in 10 - 15 working days

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Internal Variables in Thermoelasticity (Paperback, Softcover reprint of the original 1st ed. 2017): Arkadi Berezovski, Peter Van Internal Variables in Thermoelasticity (Paperback, Softcover reprint of the original 1st ed. 2017)
Arkadi Berezovski, Peter Van
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material's reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.

Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity (Paperback, 1st ed.... Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity (Paperback, 1st ed. 2019)
Arkadi Berezovski, Tarmo Soomere
R2,908 Discovery Miles 29 080 Ships in 10 - 15 working days

This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Sixty Shades of Generalized Continua - Dedicated to the 60th birthday of Prof.Victor A. Eremeyev (Hardcover, 1st ed. 2023):... Sixty Shades of Generalized Continua - Dedicated to the 60th birthday of Prof.Victor A. Eremeyev (Hardcover, 1st ed. 2023)
Holm Altenbach, Arkadi Berezovski, Francesco Dell'Isola, Alexey Porubov
R4,022 Discovery Miles 40 220 Ships in 12 - 19 working days

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Numerical Simulation Of Waves And Fronts In Inhomogeneous Solids (Hardcover): Gerard A. Maugin, J uri Engelbrecht, Arkadi... Numerical Simulation Of Waves And Fronts In Inhomogeneous Solids (Hardcover)
Gerard A. Maugin, J uri Engelbrecht, Arkadi Berezovski
R4,398 Discovery Miles 43 980 Ships in 12 - 19 working days

This book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these problems. Great care has been taken throughout the book to seek a balance between the thermomechanical analysis and numerical techniques. It is suitable for advanced undergraduate and graduate courses in continuum mechanics and engineering. Necessary prerequisites for this text are basic continuum mechanics and thermodynamics. Some elementary knowledge of numerical methods for partial differential equations is also preferable.

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