Thermomechanics
Thermomechanics

Author: J. C. Gibbings

Publisher: Elsevier

Published: 2016-06-06

Total Pages: 327

ISBN-13: 1483184161

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Thermomechanics gives an introduction to the governing equations of thermodynamics and of the mechanics of fluids. The book first gives a summary of the Newtonian mechanics of rigid bodies, which is followed by a discussion of mechanical properties of infinitesimal elements, including continuum, density, surface tension, stresses, and pressure. Temperature and the zero'th law; units; and the system of finite size are then examined. The book also explains the laws of thermodynamics including its applications. Heat processes, motionless fluids, and mixtures of phases are also tackled. The text then explains the conservation of mass in a fluid flow; the equations relating process phenomena; and the momentum equation for fluids in motion. The last part encompasses the adiabatic flow. The text will best serve those interested in thermomechanics and related concepts.

Introduction to Nonlinear Thermomechanics
Introduction to Nonlinear Thermomechanics

Author: Andrzej Sluzalec

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 187

ISBN-13: 1447119061

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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
An Introduction to Thermomechanics

Author: H. Ziegler

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 370

ISBN-13: 0444598936

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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
Continuum Thermomechanics

Author: Alfredo Bermúdez de Castro

Publisher: Springer Science & Business Media

Published: 2006-03-17

Total Pages: 203

ISBN-13: 3764373830

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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).

Thermomechanics of Composites under High Temperatures
Thermomechanics of Composites under High Temperatures

Author: Yuriy I. Dimitrienko

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 369

ISBN-13: 9401591830

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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 Composite Structures under High Temperatures
Thermomechanics of Composite Structures under High Temperatures

Author: Yu. I. Dimitrienko

Publisher: Springer

Published: 2016-01-14

Total Pages: 448

ISBN-13: 9401774943

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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.

Thermomechanics and Infra-Red Imaging, Volume 7
Thermomechanics and Infra-Red Imaging, Volume 7

Author: Tom Proulx

Publisher: Springer Science & Business Media

Published: 2011-05-21

Total Pages: 130

ISBN-13: 1461402077

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Thermomechanics and Infra-Red Imaging represents one of eight volumes of technical papers presented at the Society for Experimental Mechanics Annual Conference on Experimental and Applied Mechanics, held at Uncasville, Connecticut, June 13-16, 2011. The full set of proceedings also includes volumes on Dynamic Behavior of Materials, Mechanics of Biological Systems and Materials, Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, MEMS and Nanotechnology; Optical Measurements, Modeling and, Metrology; Experimental and Applied Mechanics, and Engineering Applications of Residual Stress.

The Finite Element Method in Thermomechanics
The Finite Element Method in Thermomechanics

Author: Tai-Ran Hsu

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 408

ISBN-13: 940115998X

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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 Phase Transitions In Classical Field Theory
Thermomechanics Of Phase Transitions In Classical Field Theory

Author: Ingo Claben

Publisher: World Scientific

Published: 1993-11-30

Total Pages: 271

ISBN-13: 9814504181

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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.

A Geometric Approach to Thermomechanics of Dissipating Continua
A Geometric Approach to Thermomechanics of Dissipating Continua

Author: Lalao Rakotomanana

Publisher: Springer Science & Business Media

Published: 2012-09-08

Total Pages: 272

ISBN-13: 0817681329

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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.