Finite Thermoelasticity
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Fractional Thermoelasticity
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Author : Yuriy Povstenko
language : en
Publisher: Springer Nature
Release Date : 2024-08-25
Fractional Thermoelasticity written by Yuriy Povstenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-25 with Science categories.
This new edition offers expanded coverage of fractional calculus, including Riemann–Liouville fractional integrals, Riemann–Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler and Wright functions. Additionally, it provides a comprehensive examination of fractional heat conduction and related theories of thermoelasticity. Readers will gain insights into the concepts of time and space nonlocality and their impact on the generalizations of Fourier's law in thermoelasticity. This edition presents a detailed formulation of the problem of heat conduction in different domains and the associated thermal stresses, covering topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have also been added. Cracks in the framework of fractional thermoelasticity are also considered.
Dynamic Problems Of Thermoelasticity
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Author : W. Nowacki
language : en
Publisher: Springer Science & Business Media
Release Date : 1975-12-31
Dynamic Problems Of Thermoelasticity written by W. Nowacki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-12-31 with Science categories.
Internal Variables In Thermoelasticity
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Author : Arkadi Berezovski
language : en
Publisher: Springer
Release Date : 2017-05-05
Internal Variables In Thermoelasticity written by Arkadi Berezovski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Science categories.
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.
Problems And Solutions In Thermoelasticity And Magneto Thermoelasticity
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Author : B. Das
language : en
Publisher: Springer
Release Date : 2016-11-25
Problems And Solutions In Thermoelasticity And Magneto Thermoelasticity written by B. Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-25 with Science categories.
This book presents problems and solutions of the mathematical theories of thermoelasticity and magnetothermoelasticity. The classical, coupled and generalized theories are solved using the eigenvalue methodology. Different methods of numerical inversion of the Laplace transform are presented and their direct applications are illustrated. The book is very useful to those interested in continuum mechanics.
Thermoelastic Models Of Continua
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Author : D. Iesan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19
Thermoelastic Models Of Continua written by D. Iesan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-19 with Science categories.
This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
Peridynamic Theory And Its Applications
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Author : Erdogan Madenci
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-21
Peridynamic Theory And Its Applications written by Erdogan Madenci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-21 with Science categories.
This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.
Thermomechanics Of Solids And Structures
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Author : Marko Canadija
language : en
Publisher: Elsevier
Release Date : 2023-04-19
Thermomechanics Of Solids And Structures written by Marko Canadija and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-19 with Science categories.
Thermomechanics of Solids and Structures: Physical Mechanisms, Continuum Mechanics, and Applications covers kinematics, balance equations, the strict thermodynamic frameworks of thermoelasticity, thermoplasticity, creep covering constitutive equations, the physical mechanisms of deformation, along with computational aspects. The book concludes with coverage of the thermodynamics of solids and applications of the constitutive three-dimensional model to both one-dimensional homogeneous and composite beam structures. Practical applications of the theories and techniques covered are emphasized throughout the book, with analytical solutions provided for various problems. - Provides foundational knowledge on continuum mechanics, covering kinematics, balance equations, isothermal elasticity and plasticity, variational principles, and more - Presents applications of constitutive 3D models to homogeneous and composite beams, including equations for stress and displacement estimation in thermoelastic beam problems - Reviews experimental results of thermoelastic material behavior, along with case studies to support reviews - Covers the inelastic behavior of materials at elevated temperatures, with experimental results for both monotonic and cyclic tensile tests presented - Looks at the physical mechanisms, experimental results, and constitutive modeling of creep
Thermal Stresses Advanced Theory And Applications
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Author : Richard B. Hetnarski
language : en
Publisher: Springer
Release Date : 2019-04-11
Thermal Stresses Advanced Theory And Applications written by Richard B. Hetnarski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-11 with Science categories.
This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering. This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, andmathematics, including vector and cartesian tensor analysis. This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.
Microstructural Randomness And Scaling In Mechanics Of Materials
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Author : Martin Ostoja-Starzewski
language : en
Publisher: CRC Press
Release Date : 2007-08-13
Microstructural Randomness And Scaling In Mechanics Of Materials written by Martin Ostoja-Starzewski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-13 with Mathematics categories.
An area at the intersection of solid mechanics, materials science, and stochastic mathematics, mechanics of materials often necessitates a stochastic approach to grasp the effects of spatial randomness. Using this approach, Microstructural Randomness and Scaling in Mechanics of Materials explores numerous stochastic models and methods used in the m
Simulation Of Thermoelastic Behaviour Of Spacecraft Structures
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Author : Simon Appel
language : en
Publisher: Springer Nature
Release Date : 2021-08-31
Simulation Of Thermoelastic Behaviour Of Spacecraft Structures written by Simon Appel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-31 with Technology & Engineering categories.
This book provides recommendations for thermal and structural modelling of spacecraft structures for predicting thermoelastic responses. It touches upon the related aspects of the finite element and thermal lumped parameter method. A mix of theoretical and practical examples supports the modelling guidelines. Starting from the system needs of instruments of spacecraft, the reader is supported with the development of the practical requirements for the joint development of the thermal and structural models. It provides points of attention and suggestions to check the quality of the models. The temperature mapping problem, typical for spacecraft thermoelastic analysis, is addressed. The principles of various temperature mapping methods are presented. The prescribed average temperature method, co-developed by the authors, is discussed in detail together with its spin-off to provide high quality conductors for thermal models. The book concludes with the discussion of the application of uncertainty assessment methods. The thermoelastic analysis chain is computationally expensive. Therefore, the 2k+1 point estimate method of Rosenblueth is presented as an alternative for the Monte Carlo Simuation method, bringing stochastic uncertainty analysis in reach for large thermoelastic problems.