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This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams, and elasticity with detailed derivations for the mass, stiffness, and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams, and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems, and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.

Finite element method --- Data processing. --- Mechanics, applied. --- Computer science. --- Theoretical and Applied Mechanics. --- Computational Science and Engineering. --- Theoretical, Mathematical and Computational Physics. --- Informatics --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mechanics. --- Mechanics, Applied. --- Computer mathematics. --- Mathematical physics. --- Physical mathematics --- Physics --- Computer mathematics --- Electronic data processing --- Mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory

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This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams, and elasticity with detailed derivations for the mass, stiffness, and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams, and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems, and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.

Mathematical physics --- Classical mechanics. Field theory --- Applied physical engineering --- Computer science --- theoretische fysica --- toegepaste mechanica --- computers --- informatica --- informaticaonderzoek --- ingenieurswetenschappen --- mechanica --- computerkunde

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This book is intended as an advanced modern textbook and reference handbook on the topic of thermal stresses. It should serve 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. As the field of thermal stresses lies at the crossroads of stress analysis, theory of elasticity, heat conduction, and advanced methods of applied mathematics, all these subjects are dealt with in the book to the extent they are necessary. Thus, the book is self-contained, so that the reader should not need to consult other sources while studying the topic. 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, and mathematics, including vector and cartesian tensor analysis. .

Thermal stresses --- Materials Science --- Civil Engineering --- Civil & Environmental Engineering --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Thermal stresses. --- Structural engineering. --- Engineering, Structural --- Structures, Engineering of --- Thermal-expansion stresses --- Engineering. --- Mechanics. --- Mechanics, Applied. --- Continuum mechanics. --- Structural mechanics. --- Mechanical engineering. --- Engineering design. --- Theoretical and Applied Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Structural Mechanics. --- Mechanical Engineering. --- Engineering Design. --- Architecture --- Engineering --- Expansion (Heat) --- Expansion of solids --- Strains and stresses --- Thermoelasticity

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This book is intended as an advanced modern textbook and reference handbook on the topic of thermal stresses. It should serve 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. As the field of thermal stresses lies at the crossroads of stress analysis, theory of elasticity, heat conduction, and advanced methods of applied mathematics, all these subjects are dealt with in the book to the extent they are necessary. Thus, the book is self-contained, so that the reader should not need to consult other sources while studying the topic. 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, and mathematics, including vector and cartesian tensor analysis.

Classical mechanics. Field theory --- Fluid mechanics --- Materials sciences --- Engineering sciences. Technology --- Production management --- DFMA (design for manufacture and assembly) --- toegepaste mechanica --- ingenieurswetenschappen --- mechanica

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Classical mechanics. Field theory --- Fluid mechanics --- Materials sciences --- Engineering sciences. Technology --- Production management --- DFMA (design for manufacture and assembly) --- toegepaste mechanica --- ingenieurswetenschappen --- mechanica