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Advanced Finite Element Method in Structural Engineering systematically introduces the research work on the Finite Element Method (FEM), which was completed by Prof. Yu-qiu Long and his research group in the past 25 years. Seven original theoretical achievements - for instance, the Generalized Conforming Element method, to name one - and their applications in the fields of structural engineering and computational mechanics are discussed in detail. The book also shows the new strategies for avoiding five difficulties that exist in traditional FEM (shear-locking problem of thick plate elements; sensitivity problem to mesh distortion; non-convergence problem of non-conforming elements; accuracy loss problem of stress solutions by displacement-based elements; stress singular point problem) by utilizing foregoing achievements.
Finite element method. --- Structural engineering. --- Engineering, Structural --- Structures, Engineering of --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Engineering. --- Computational intelligence. --- Structural mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Engineering, general. --- Structural Mechanics. --- Computational Intelligence. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Construction --- Industrial arts --- Technology --- Architecture --- Numerical analysis --- Isogeometric analysis --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory
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The book presents a new approach for the solution of geomechanical problems - it explicitly takes into account deformation and fracture in time, which are neglected in classical methods although these properties create important effects. The method reveals the influence of the form of a structure on its ultimate state. It uses the rheological law which accounts for large strains at a non-linear unsteady creep, an influence of a stress state type, an initial anisotropy and damage. The whole approach takes into account five types of non-linearity (physical as well as geometrical ones) and contains several new ideas. For example, it considers the fracture as a process, the difference between the body and an element of the material which only deforms and fails because it is in the structure, the simplicity of some non-linear computations against the consequent linear ones, the dependence of the maximum small strain in dangerous poins of the body only on the material. Professor Elsoufiev included many new solutions of non-linear geotechnical problems to this second edition. .
Soil mechanics --- Strength of materials --- Mathematical models. --- Engineering. --- Geotechnical engineering. --- Computational intelligence. --- Continuum mechanics. --- Structural mechanics. --- Structural Mechanics. --- Geotechnical Engineering & Applied Earth Sciences. --- Computational Intelligence. --- Continuum Mechanics and Mechanics of Materials. --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Construction --- Industrial arts --- Technology --- Materials, Strength of --- Resistance of materials --- Building materials --- Flexure --- Mechanics --- Testing --- Graphic statics --- Strains and stresses
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The structural morphology working group of the International Association for Shell and Spatial Structures, founded in 1991, has helped to launch several international seminars, newsletters and specific sessions of international conferences devoted to structural morphology. This book contains papers that have been selected either for their fundamental contribution to structural morphology or for their actual pertinence in the field. Polyhedral geometry, double-curved surfaces, biological structures, foldable systems, form-finding techniques, and free form design are some of the topics included
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Non Destructive Testing and Non Destructive Evaluation using Ultrasounds covers an important field of applications and requires a wide range of fundamental theoretical, numerical and experimental investigations. In the present volume, the reader will find some relevant research results on wave propagation in complex materials and structures which are concerned with today’s problems on composites, bonding, guided waves, contact or damage, imaging and structural noise. The fifth meeting of the Anglo-French Research Group on "Wave propagation in non homogeneous media with a view to Non Destructive Testing", where all these results were presented, was held in Anglet, France, June 2-6, 2008.
Ultrasonic testing -- Congresses. --- Ultrasonic waves -- Congresses. --- Ultrasound. --- Ultrasonic waves --- Ultrasonic testing --- Acoustics & Sound --- Materials Science --- Physics --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Inhomogeneous materials --- Nondestructive testing --- Heterogeneous materials --- Inhomogeneous media --- Media, Inhomogeneous --- Supersonic waves --- Waves, Ultrasonic --- Engineering. --- Acoustics. --- Mechanics. --- Mechanics, Applied. --- Structural mechanics. --- Theoretical and Applied Mechanics. --- Structural Mechanics. --- Materials --- Matter --- Sound-waves --- Ultrasonics
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Computational kinematics is an enthralling area of science with a rich spectrum of problems at the junction of mechanics, robotics, computer science, mathematics, and computer graphics. The present book collects up-to-date methods as presented during the Fifth International Workshop on Computational Kinematics (CK2009) held at the University of Duisburg-Essen, Germany. The covered topics include design and optimization of cable-driven robots, analysis of parallel manipulators, motion planning, numerical methods for mechanism calibration and optimization, geometric approaches to mechanism analysis and design, synthesis of mechanisms, kinematical issues in biomechanics, balancing and construction of novel mechanical devices, detection and treatment of singularities, as well as computational methods for gear design. The results should be of interest for practicing and research engineers as well as Ph.D. students from the fields of mechanical and electrical engineering, computer science, and computer graphics. Indexed in Conference Proceedings Citation Index- Science (CPCI-S).
Kinematics -- Data processing -- Congresses. --- Kinematics -- Data processing. --- Robotics -- Congresses. --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Engineering. --- Structural mechanics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Mechanical engineering. --- Mechanical Engineering. --- Vibration, Dynamical Systems, Control. --- Structural Mechanics. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Construction --- Industrial arts --- Technology --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory
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To determine most exactly the carrying capacity of a structure or a structural element has always been a major concern to any design engineer. For safety sensitive structures this implies not only situations of normal service conditions but also states near to failure or post-critical states in order to better prevent accidents by appropriate design. Among the rational design tools available to engineers, for this purpose the so-called "direct methods", embracing in particular limit- and shakedown analysis, have always been particularly attractive due to the fact that they allow to determine in a constructive way directly the limit loads of a structure. This holds true for simple loading by proportionally applied mechanical and thermal loads, but also for the more complicated situation of variable loading even in the case when the loading history is not deterministically given. The tremendous progress in computation over the last years has contributed very largely to the development of direct methods. They have left the realm of ad-hoc computing and can be used today for post-processing in combination with commercial design tools. Far from being comprehensive, given this very active field of scientific research and development, the papers presented in this book give an account of some of the most advanced results achieved over the last years by leading scientists in the field. This way, the book is meant to help the practical engineer to choose the right tool for his safety analysis of critical structures and to stimulate researchers to enter this most interesting field, reaching from highly abstract concepts up to the essential questions of practical engineering.
Plastic analysis (Engineering). --- Plastic analysis (Engineering) -- Congresses. --- Structural analysis (Engineering). --- Structural analysis (Engineering) -- Congresses. --- Building materials. --- Engineering design. --- Design, Engineering --- Engineering --- Architectural materials --- Architecture --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials --- Design --- Materials --- Engineering. --- Computational intelligence. --- Continuum mechanics. --- Structural mechanics. --- Civil engineering. --- Continuum Mechanics and Mechanics of Materials. --- Structural Mechanics. --- Computational Intelligence. --- Engineering Design. --- Civil Engineering. --- Industrial design --- Strains and stresses --- Public works --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Construction --- Industrial arts --- Technology --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory
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This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications. Four main topics are addressed: Non-smooth modeling of unilateral contacts and friction by set valued force laws, Mathematical evaluation of these laws using normal cone inclusions with associated projective equations, Numerical time-stepping integration methods for non-smooth systems, Implementation in a software code. The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.
Applications of Mathematics. --- Contact mechanics -- Mathematical models. --- Friction -- Mathematical models. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Nonlinear systems. --- Dynamics. --- Dynamical systems --- Kinetics --- Systems, Nonlinear --- Engineering. --- Algebra. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Structural mechanics. --- Vibration. --- Dynamical systems. --- Mechanical engineering. --- Mechanical Engineering. --- Vibration, Dynamical Systems, Control. --- Structural Mechanics. --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Cycles --- Sound --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Engineering analysis --- Mathematical analysis --- Construction --- Industrial arts --- Technology --- System theory --- Mechanics, Applied. --- Mathematics. --- Classical Mechanics. --- Solid Mechanics. --- Math --- Science --- Applied mechanics --- Engineering mathematics
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Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.
Organic Chemistry --- Chemistry --- Physical Sciences & Mathematics --- Copolymers --- Polymers --- Mathematical models --- Polymere --- Polymeride --- Polymers and polymerization --- Mathematics. --- Probabilities. --- Statistics. --- Structural mechanics. --- Probability Theory and Stochastic Processes. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Structural Mechanics. --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Math --- Science --- Macromolecules --- Distribution (Probability theory. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistics .
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STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 1 : The Basis and Solids Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results. The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis. STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 2: Beams, Plates and Shells Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials. The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.
Engineering. --- Computational Intelligence. --- Structural Mechanics. --- Computer-Aided Engineering (CAD, CAE) and Design. --- Numerical Analysis. --- Engineering. --- Computer aided design. --- Numerical analysis. --- Mechanical engineering. --- Ingénierie --- Conception assistée par ordinateur --- Analyse numérique --- Génie mécanique
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In this book, the four authors show us the condensed experience how to design ship hull structures from a practical viewpoint. In three parts, the book presents the fundamentals, the theory and the application of structural design of hulls. The topics are treated comprehensively with an emphasis on how to achieve reliable and efficient ship structures. The authors have in particular introduced their experiences with the rapid increase of ship sizes as well as the introduction of ship types with a high degree of specialization. The associated early failures of these "new" structures have been analyzed to provide the readers with illustrations why structural design needs to be carried out on several levels in order to ensure that correct loading is applied and that local structural behaviour in properly understood.
Hulls (Naval architecture) --Design and construction. --- Hulls (Naval architecture) --- Civil & Environmental Engineering --- Military & Naval Science --- Law, Politics & Government --- Engineering & Applied Sciences --- Naval Architecture --- Civil Engineering --- Design and construction --- Naval architecture. --- Design and construction. --- Architecture, Naval --- Marine architecture --- Ships --- Engineering. --- Structural mechanics. --- Engineering design. --- Engineering Design. --- Structural Mechanics. --- Architecture --- Shipbuilding --- Naval architecture --- Shipfitting --- Nautical influences --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Design
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