Author: Andrzej Sluzalec
Publisher: Springer Science & Business Media
ISBN: 1447119061
Category : Science
Languages : en
Pages : 187
Book Description
Professor Sluzalec is a well-known and respected authority in the field of Computational Mechanics, and his personal experience forms the basis of the book. Introduction to Nonlinear Thermomechanics provides both an elementary and advanced exposition of nonlinear thermomechanics. The scope includes theoretical aspects and their rational application in thermal problems, thermo-elastoplasticity, finite strain thermoplasticity and coupled thermoplasticity. The use of numerical techniques for the solution of problems and implementation of basic theory is included. Engineers, technicians, researchers, and advanced students will find the book an extremely useful compendium of solutions to problems. The scope is such that it would also be an effective teaching aid.
Introduction to Nonlinear Thermomechanics
Author: Andrzej Sluzalec
Publisher: Springer Science & Business Media
ISBN: 1447119061
Category : Science
Languages : en
Pages : 187
Book Description
Professor Sluzalec is a well-known and respected authority in the field of Computational Mechanics, and his personal experience forms the basis of the book. Introduction to Nonlinear Thermomechanics provides both an elementary and advanced exposition of nonlinear thermomechanics. The scope includes theoretical aspects and their rational application in thermal problems, thermo-elastoplasticity, finite strain thermoplasticity and coupled thermoplasticity. The use of numerical techniques for the solution of problems and implementation of basic theory is included. Engineers, technicians, researchers, and advanced students will find the book an extremely useful compendium of solutions to problems. The scope is such that it would also be an effective teaching aid.
Publisher: Springer Science & Business Media
ISBN: 1447119061
Category : Science
Languages : en
Pages : 187
Book Description
Professor Sluzalec is a well-known and respected authority in the field of Computational Mechanics, and his personal experience forms the basis of the book. Introduction to Nonlinear Thermomechanics provides both an elementary and advanced exposition of nonlinear thermomechanics. The scope includes theoretical aspects and their rational application in thermal problems, thermo-elastoplasticity, finite strain thermoplasticity and coupled thermoplasticity. The use of numerical techniques for the solution of problems and implementation of basic theory is included. Engineers, technicians, researchers, and advanced students will find the book an extremely useful compendium of solutions to problems. The scope is such that it would also be an effective teaching aid.
An Introduction to Thermomechanics
Author: H. Ziegler
Publisher: Elsevier
ISBN: 0444598936
Category : Science
Languages : en
Pages : 370
Book Description
North-Holland Series in Applied Mathematics and Mechanics, Volume 21: An Introduction to Thermomechanics, Second Revised Edition focuses on the methodologies, reactions, and processes involved in thermomechanics, including kinematics, thermodynamics, elasticity, and tensors. The book first offers information on kinematics, kinetics, and thermodynamics. Discussions focus on field theory, state variables, momentum theorems, state of stress, energy theorem, state of motion, small displacements, and material derivatives. The manuscript then ponders on material properties, ideal liquids, linear elasticity, and inviscid gases. The text elaborates on viscous fluids, plastic bodies, viscoelasticity, and general tensors. Topics include tensor algebra, mechanical constitutive relations, thermomechanical extension, hereditary integrals, perfectly plastic bodies, turbulence, and basic equations. The book then reviews viscoelastic bodies, plasticity, non-Newtonian liquids, and maximal dissipation. The publication is a valuable reference for researchers wanting to dig deeper into thermomechanics.
Publisher: Elsevier
ISBN: 0444598936
Category : Science
Languages : en
Pages : 370
Book Description
North-Holland Series in Applied Mathematics and Mechanics, Volume 21: An Introduction to Thermomechanics, Second Revised Edition focuses on the methodologies, reactions, and processes involved in thermomechanics, including kinematics, thermodynamics, elasticity, and tensors. The book first offers information on kinematics, kinetics, and thermodynamics. Discussions focus on field theory, state variables, momentum theorems, state of stress, energy theorem, state of motion, small displacements, and material derivatives. The manuscript then ponders on material properties, ideal liquids, linear elasticity, and inviscid gases. The text elaborates on viscous fluids, plastic bodies, viscoelasticity, and general tensors. Topics include tensor algebra, mechanical constitutive relations, thermomechanical extension, hereditary integrals, perfectly plastic bodies, turbulence, and basic equations. The book then reviews viscoelastic bodies, plasticity, non-Newtonian liquids, and maximal dissipation. The publication is a valuable reference for researchers wanting to dig deeper into thermomechanics.
Continuum Thermomechanics
Author: Alfredo Bermúdez de Castro
Publisher: Springer Science & Business Media
ISBN: 3764373830
Category : Science
Languages : en
Pages : 203
Book Description
The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory. Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).
Publisher: Springer Science & Business Media
ISBN: 3764373830
Category : Science
Languages : en
Pages : 203
Book Description
The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory. Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).
The Finite Element Method in Thermomechanics
Author: Tai-Ran Hsu
Publisher: Springer Science & Business Media
ISBN: 940115998X
Category : Science
Languages : en
Pages : 408
Book Description
The rapid advances in the nuclear and aerospace technologies in the past two decades compounded with the increasing demands for high performance, energy-efficient power plant components and engines have made reliable thermal stress analysis a critical factor in the design and operation of such equipment. Recently, and as experienced by the author, the need for sophis ticated analyses has been extended to the energy resource industry such as in-situ coal gasification and in-situ oil recovery from oil sands and shales. The analyses in the above applications are of a multidisciplinary nature, and some involve the additional complexity of multiphase and phase change phenomena. These extremely complicated factors preclude the use of classical methods, and numerical techniques such as the finite element method appear to be the most viable alternative solution. The development of this technique so far appears to have concentrated in two extremes; one being overly concerned with the accuracy of results and tending to place all effort in the implementation of special purpose element concepts and computational algorithms, the other being for commercial purposes with the ability of solving a wide range of engineering problems. However, to be versatile, users require substantial training and experience in order to use these codes effectively. Above all, no provision for any modifi cation of these codes by users is possible, as all these codes are proprietary and access to the code is limited only to the owners.
Publisher: Springer Science & Business Media
ISBN: 940115998X
Category : Science
Languages : en
Pages : 408
Book Description
The rapid advances in the nuclear and aerospace technologies in the past two decades compounded with the increasing demands for high performance, energy-efficient power plant components and engines have made reliable thermal stress analysis a critical factor in the design and operation of such equipment. Recently, and as experienced by the author, the need for sophis ticated analyses has been extended to the energy resource industry such as in-situ coal gasification and in-situ oil recovery from oil sands and shales. The analyses in the above applications are of a multidisciplinary nature, and some involve the additional complexity of multiphase and phase change phenomena. These extremely complicated factors preclude the use of classical methods, and numerical techniques such as the finite element method appear to be the most viable alternative solution. The development of this technique so far appears to have concentrated in two extremes; one being overly concerned with the accuracy of results and tending to place all effort in the implementation of special purpose element concepts and computational algorithms, the other being for commercial purposes with the ability of solving a wide range of engineering problems. However, to be versatile, users require substantial training and experience in order to use these codes effectively. Above all, no provision for any modifi cation of these codes by users is possible, as all these codes are proprietary and access to the code is limited only to the owners.
Thermomechanics of Composites under High Temperatures
Author: Yuriy I. Dimitrienko
Publisher: Springer Science & Business Media
ISBN: 9401591830
Category : Science
Languages : en
Pages : 369
Book Description
This pioneering book presents new models for the thermomechanical behavior of composite materials, taking into account internal physico-chemical transformations such as thermodecomposition, sublimation, and melting at high temperatures. It collects unique experimental results on mechanical and thermal properties of composites at temperatures up to 2000°C.
Publisher: Springer Science & Business Media
ISBN: 9401591830
Category : Science
Languages : en
Pages : 369
Book Description
This pioneering book presents new models for the thermomechanical behavior of composite materials, taking into account internal physico-chemical transformations such as thermodecomposition, sublimation, and melting at high temperatures. It collects unique experimental results on mechanical and thermal properties of composites at temperatures up to 2000°C.
Thermomechanics Of Phase Transitions In Classical Field Theory
Author: Ingo Claben
Publisher: World Scientific
ISBN: 9814504181
Category : Mathematics
Languages : en
Pages : 271
Book Description
The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.
Publisher: World Scientific
ISBN: 9814504181
Category : Mathematics
Languages : en
Pages : 271
Book Description
The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.
Thermomechanics of Composite Structures under High Temperatures
Author: Yu. I. Dimitrienko
Publisher: Springer
ISBN: 9401774943
Category : Science
Languages : en
Pages : 448
Book Description
This pioneering book presents new models for the thermomechanical behavior of composite materials and structures taking into account internal physico-chemical transformations such as thermodecomposition, sublimation and melting at high temperatures (up to 3000 K). It is of great importance for the design of new thermostable materials and for the investigation of reliability and fire safety of composite structures. It also supports the investigation of interaction of composites with laser irradiation and the design of heat-shield systems. Structural methods are presented for calculating the effective mechanical and thermal properties of matrices, fibres and unidirectional, reinforced by dispersed particles and textile composites, in terms of properties of their constituent phases. Useful calculation methods are developed for characteristics such as the rate of thermomechanical erosion of composites under high-speed flow and the heat deformation of composites with account of chemical shrinkage. The author expansively compares modeling results with experimental data, and readers will find unique experimental results on mechanical and thermal properties of composites under temperatures up to 3000 K. Chapters show how the behavior of composite shells under high temperatures is simulated by the finite-element method and so cylindrical and axisymmetric composite shells and composite plates are investigated under local high-temperature heating. The book will be of interest to researchers and to engineers designing composite structures, and invaluable to materials scientists developing advanced performance thermostable materials.
Publisher: Springer
ISBN: 9401774943
Category : Science
Languages : en
Pages : 448
Book Description
This pioneering book presents new models for the thermomechanical behavior of composite materials and structures taking into account internal physico-chemical transformations such as thermodecomposition, sublimation and melting at high temperatures (up to 3000 K). It is of great importance for the design of new thermostable materials and for the investigation of reliability and fire safety of composite structures. It also supports the investigation of interaction of composites with laser irradiation and the design of heat-shield systems. Structural methods are presented for calculating the effective mechanical and thermal properties of matrices, fibres and unidirectional, reinforced by dispersed particles and textile composites, in terms of properties of their constituent phases. Useful calculation methods are developed for characteristics such as the rate of thermomechanical erosion of composites under high-speed flow and the heat deformation of composites with account of chemical shrinkage. The author expansively compares modeling results with experimental data, and readers will find unique experimental results on mechanical and thermal properties of composites under temperatures up to 3000 K. Chapters show how the behavior of composite shells under high temperatures is simulated by the finite-element method and so cylindrical and axisymmetric composite shells and composite plates are investigated under local high-temperature heating. The book will be of interest to researchers and to engineers designing composite structures, and invaluable to materials scientists developing advanced performance thermostable materials.
A Geometric Approach to Thermomechanics of Dissipating Continua
Author: Lalao Rakotomanana
Publisher: Springer Science & Business Media
ISBN: 0817681329
Category : Mathematics
Languages : en
Pages : 272
Book Description
Across the centuries, the development and growth of mathematical concepts have been strongly stimulated by the needs of mechanics. Vector algebra was developed to describe the equilibrium of force systems and originated from Stevin's experiments (1548-1620). Vector analysis was then introduced to study velocity fields and force fields. Classical dynamics required the differential calculus developed by Newton (1687). Nevertheless, the concept of particle acceleration was the starting point for introducing a structured spacetime. Instantaneous velocity involved the set of particle positions in space. Vector algebra theory was not sufficient to compare the different velocities of a particle in the course of time. There was a need to (parallel) transport these velocities at a single point before any vector algebraic operation. The appropriate mathematical structure for this transport was the connection. I The Euclidean connection derived from the metric tensor of the referential body was the only connection used in mechanics for over two centuries. Then, major steps in the evolution of spacetime concepts were made by Einstein in 1905 (special relativity) and 1915 (general relativity) by using Riemannian connection. Slightly later, nonrelativistic spacetime which includes the main features of general relativity I It took about one and a half centuries for connection theory to be accepted as an independent theory in mathematics. Major steps for the connection concept are attributed to a series of findings: Riemann 1854, Christoffel 1869, Ricci 1888, Levi-Civita 1917, WeyJ 1918, Cartan 1923, Eshermann 1950.
Publisher: Springer Science & Business Media
ISBN: 0817681329
Category : Mathematics
Languages : en
Pages : 272
Book Description
Across the centuries, the development and growth of mathematical concepts have been strongly stimulated by the needs of mechanics. Vector algebra was developed to describe the equilibrium of force systems and originated from Stevin's experiments (1548-1620). Vector analysis was then introduced to study velocity fields and force fields. Classical dynamics required the differential calculus developed by Newton (1687). Nevertheless, the concept of particle acceleration was the starting point for introducing a structured spacetime. Instantaneous velocity involved the set of particle positions in space. Vector algebra theory was not sufficient to compare the different velocities of a particle in the course of time. There was a need to (parallel) transport these velocities at a single point before any vector algebraic operation. The appropriate mathematical structure for this transport was the connection. I The Euclidean connection derived from the metric tensor of the referential body was the only connection used in mechanics for over two centuries. Then, major steps in the evolution of spacetime concepts were made by Einstein in 1905 (special relativity) and 1915 (general relativity) by using Riemannian connection. Slightly later, nonrelativistic spacetime which includes the main features of general relativity I It took about one and a half centuries for connection theory to be accepted as an independent theory in mathematics. Major steps for the connection concept are attributed to a series of findings: Riemann 1854, Christoffel 1869, Ricci 1888, Levi-Civita 1917, WeyJ 1918, Cartan 1923, Eshermann 1950.
Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8
Author: Antonio Baldi
Publisher: Springer
ISBN: 3319628992
Category : Technology & Engineering
Languages : en
Pages : 125
Book Description
Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8 of the Proceedings of the 2017 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the eighth volume of nine from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of areas, including: Residual Stress Measurements Stress Analysis from Thermal Measurements Damage & Defect Analysis Using Infrared Techniques Inverse Methods in Plasticity Inverse Problem Methodologies in Experimental Mechanics
Publisher: Springer
ISBN: 3319628992
Category : Technology & Engineering
Languages : en
Pages : 125
Book Description
Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 8 of the Proceedings of the 2017 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the eighth volume of nine from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of areas, including: Residual Stress Measurements Stress Analysis from Thermal Measurements Damage & Defect Analysis Using Infrared Techniques Inverse Methods in Plasticity Inverse Problem Methodologies in Experimental Mechanics
Mechanics and Thermomechanics of Rubberlike Solids
Author: Guiseppe Saccomandi
Publisher: Springer
ISBN: 3709125405
Category : Science
Languages : en
Pages : 259
Book Description
This work gives for the first time an interdisciplinary and deep approach to the mathematical modelling of rubber-like materials considering both the molecular and phenomenological point of views. It contains an introduction to the suitable numerical techniques and an overview of experimental techniques and data with a short survey on some industrial applications. Elastic and inelastic effects are discussed in details. The book is suitable for applied mathematicians, mechanical engineers, civil engineers, material scientists and polymer scientists.
Publisher: Springer
ISBN: 3709125405
Category : Science
Languages : en
Pages : 259
Book Description
This work gives for the first time an interdisciplinary and deep approach to the mathematical modelling of rubber-like materials considering both the molecular and phenomenological point of views. It contains an introduction to the suitable numerical techniques and an overview of experimental techniques and data with a short survey on some industrial applications. Elastic and inelastic effects are discussed in details. The book is suitable for applied mathematicians, mechanical engineers, civil engineers, material scientists and polymer scientists.