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This is a first year graduate textbook in Linear Elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems. This third edition includes new chapters on complex variable methods, variational methods and three-dimensional solutions for the prismatic bar. Other detailed changes have been made throughout the work, many suggested by users of earlier editions. The new edition includes over 300 end-of-chapter problems, expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to 'verify' that a given candidate stress function is appropriate to the problem. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as Maple and Mathematica. Electronic files and hints on this method of solution, as well as further supplementary software are available for download via the webpage for this volume on www.springer.com.
Mechanical properties of solids --- elasticiteit --- Elasticity. --- Élasticité --- Résistance des matériaux --- Élasticité --- Résistance des matériaux --- Strength of materials
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This invaluable treatise belongs to the cultural heritage of mechanics. It is an encyclopaedia of the classic and analytic approaches of continuum mechanics and of many domains of natural science. The book is unique also because an impressive number of methods and approaches it displays have been worked out by the author himself. In particular, this implies a full consistency of notation, ideas and mathematical apparatus which results in a unified approach to a broad class of problems. The book is of great interest for engineers who will find a lot of analytical formulae for very different problems covering nearly all aspects of the elastic behavior of materials. In particular, it fills the gap between the well-developed numerical methods and sophisticated methods of elasticity theory. It is also intended for researchers and students taking their first steps in continuum mechanics as it offers a carefully written and logically substantiated basis of both linear and nonlinear continuum mechanics.
Engineering. --- Theoretical and Applied Mechanics. --- Computational Intelligence. --- Mechanics. --- Mechanics, applied. --- Ingénierie --- Mécanique --- Elastic. --- Elastic solids. --- Elasticity -- Congresses. --- Elasticity. --- Elasticity --- Continuum mechanics --- Civil Engineering --- Applied Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Continuum mechanics. --- Mechanics of continua --- Elastic properties --- Young's modulus --- Computational intelligence. --- Mechanics, Applied. --- Mechanical engineering. --- Mechanical Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Applied mechanics --- Engineering mathematics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Construction --- Industrial arts --- Technology --- Mechanics, Analytic --- Field theory (Physics) --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Classical Mechanics.
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In recent years, discretization methods have been proposed which are more flexible and which have the potential of capturing (moving) discontinuities in a robust and efficient manner. This monograph assembles contributions of leading experts with the most recent developments in this rapidly evolving field. It provides the most comprehensive coverage of state-of-the art numerical methods for treating discontinuities in mechanics.
Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Computational Intelligence. --- Mechanics. --- Simulation and Modeling. --- Computational Science and Engineering. --- Computer simulation. --- Computer science. --- Materials. --- Ingénierie --- Simulation par ordinateur --- Informatique --- Mécanique --- Matériaux --- Discretization (Mathematics) -- Congresses. --- Meshfree methods (Numerical analysis) -- Congresses. --- Strength of materials. --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Meshfree methods (Numerical analysis) --- Finite element method --- Galerkin methods --- Sinc-Galerkin methods --- Sinc methods --- Gridless methods (Numerical analysis) --- Meshfree discretization techniques (Numerical analysis) --- Meshless methods (Numerical analysis) --- Computational intelligence. --- Continuum mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Engineering, general. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Construction --- Industrial arts --- Technology --- Numerical analysis --- Mechanics, Applied. --- Classical Mechanics. --- Solid Mechanics. --- Applied mechanics --- Engineering mathematics
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Despite the apparent activity in the field, the ever increasing rate of development of new engineering materials required to meet advanced technological needs poses fresh challenges in the field of constitutive modelling. The complex behaviour of such materials demands a closer interaction between numerical analysts and material scientists in order to produce thermodynamically consistent models which provide a response in keeping with fundamental micromechanical principles and experimental observations. This necessity for collaboration is further highlighted by the continuing remarkable developments in computer hardware which makes the numerical simulation of complex deformation responses increasingly possible. This book contains 14 invited contributions written by distinguished authors who participated in the VIII International Conference on Computational Plasticity held at CIMNE/UPC (www.cimne.com) from 5-8 September 2005, Barcelona, Spain. The meeting was one of the Thematic Conferences of the European Community on Computational Methods in Applied Sciences (ECCOMAS, www.eccomas.org). The different chapters of this book present recent progress and future research directions in the field of computational plasticity. A common line of many contributions is that a stronger interaction between the phenomenological and micromechanical modelling of plasticity behaviour is apparent and the use of inverse identification techniques is also more prominent. The development of adaptive strategies for plasticity problems continues to be a challenging goal, while it is interesting to note the permanence of element modelling as a research issue. Industrial forming processes, geomechanics, steel and concrete structures form the core of the applications of the different numerical methods presented in the book.
Engineering. --- Computational Intelligence. --- Structural Mechanics. --- Building Construction, HVAC, Refrigeration. --- Mechanical engineering. --- Building construction. --- Ingénierie --- Génie mécanique --- Plasticity -- Mathematical models. --- Plasticity. --- Strength of materials. --- Engineering & Applied Sciences --- Applied Mathematics --- Computer Science --- Plasticity --- Mathematical models. --- Data processing. --- Computational intelligence. --- Mechanics. --- Mechanics, Applied. --- Structural mechanics. --- Buildings --- Building. --- Construction. --- Engineering, Architectural. --- Theoretical and Applied Mechanics. --- Building Construction. --- Design and construction. --- Building --- Architectural engineering --- Construction --- Construction science --- Engineering, Architectural --- Structural design --- Structural engineering --- Architecture --- Construction industry --- Structural mechanics --- Structures, Theory of --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Intelligence, Computational --- Artificial intelligence --- Industrial arts --- Technology --- Design and construction --- Soft computing --- Cohesion --- Deformations (Mechanics) --- Elasticity --- Plastics --- Rheology --- Mechanics, applied. --- Solid Mechanics. --- Building Construction and Design. --- Buildings—Design and construction.
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The book presents an updated state-of-the-art overview of the general aspects and practical applications of the theories of thin structures, through the interaction of several topics, ranging from non-linear thin-films, shells, junctions, beams of different materials and in different contexts (elasticity, plasticity, etc.). Advanced problems like the optimal design and the modeling of thin films made of brittle or phase-transforming materials will be presented as well.
Engineering. --- Structural Mechanics. --- Mathematical Methods in Physics. --- Continuum Mechanics and Mechanics of Materials. --- Mathematical physics. --- Materials. --- Mechanical engineering. --- Ingénierie --- Physique mathématique --- Matériaux --- Génie mécanique --- Thin-walled structures. --- Thin-walled structures --- Strains and stresses --- Girders, Continuous --- Elastic plates and shells --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematical models --- Mathematical models. --- Structures, Thin-walled --- Architectural engineering --- Engineering, Architectural --- Stresses and strains --- Continuous girders --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Physics. --- Mechanics. --- Continuum mechanics. --- Structural mechanics. --- Elastic waves --- Elasticity --- Plasticity --- Girders --- Structural engineering --- Architecture --- Elastic solids --- Flexure --- Mechanics --- Statics --- Structural analysis (Engineering) --- Deformations (Mechanics) --- Engineering design --- Graphic statics --- Strength of materials --- Stress waves --- Structural design --- Mechanics, Applied. --- Classical Mechanics. --- Solid Mechanics. --- Physical mathematics --- Physics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences
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Fatigue and wear are the most damaging phenomena affecting machines since they result in some 90% of breakdowns. This tutorial book systematically develops a unified overview, named tribo-fatigue, which aims to address the complex wear-fatigue damages. Tribo-fatigue synthesizes aspects of three disciplines: mechanical fatigue, tribology, and reliability of mechanical systems. Tribo-fatigue opens new perspectives for increasing the durability of machines according to the most important criteria of their serviceability. Detailed damage measurement and wear-fatigue tests that enable engineers to design more durable and reliable systems are developed. The book is intended for advanced students, researchers and engineers.
Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Tribology, Corrosion and Coatings. --- Machinery and Machine Elements. --- Quality Control, Reliability, Safety and Risk. --- Materials. --- System safety. --- Chemistry, inorganic. --- Ingénierie --- Matériaux --- Sécurité des systèmes --- Fracture mechanics. --- Materials -- Fatigue -- Statistical methods. --- Materials -- Fatigue -- Testing -- Statistical methods. --- Tribology. --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Mechanical Engineering --- Materials Science --- Mechanical Engineering - General --- Applied Mathematics --- Mechanical wear. --- Scuffing --- Wear, Mechanical --- Wearing properties --- Continuum mechanics. --- Machinery. --- Quality control. --- Reliability. --- Industrial safety. --- Corrosion and anti-corrosives. --- Coatings. --- Friction --- Surfaces (Technology) --- Surface coatings --- Materials --- Coating processes --- Thin films --- Anti-corrosive paint --- Atmospheric corrosion --- Metal corrosion --- Metals --- Rust --- Rustless coatings --- Chemical inhibitors --- Chemistry, Technical --- Fouling --- Weathering --- Paint --- Protective coatings --- Waterproofing --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- Accidents --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Industrial engineering --- Reliability (Engineering) --- Sampling (Statistics) --- Standardization --- Quality assurance --- Quality of products --- Machinery --- Machines --- Manufactures --- Power (Mechanics) --- Technology --- Mechanical engineering --- Motors --- Power transmission --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Construction --- Industrial arts --- Corrosion --- Deterioration --- Surfaces --- Prevention --- Curious devices --- Strength of materials --- Tribology --- Hard materials --- Dynamic testing
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