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Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available.   Computational Methods in Elasticity and Plasticity: Solids and Porous Media  also contains problem sets, worked examples and  a solutions manual for instructors.

Engineering. --- Theoretical and Applied Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Computational Mathematics and Numerical Analysis. --- Engineering. --- Computer science --- Mechanics, applied. --- Materials. --- Ingénierie --- Informatique --- Matériaux --- Mathematics. --- Mathématiques

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Applied Plasticity, Second Edition, covers advanced topics in plasticity comprehensively and in detail. This new edition has been updated throughout and includes a large set of homework problems for each chapter, making it ideal for classroom use. All relevant topics are covered, including the mathematical theory of plasticity, the theory of plane plastic stress, the axially symmetrical plastic state, the plastic behavior of plates and shells, the plasticity of metal forming processes, the theory of buckling in the plastic range, topics in dynamic plasticity, and the finite element method. Features of the new edition include: A full chapter on the Finite Element Method, previously published as an appendix; A new section on yield line theory for plate bending, including the estimation of upper bounds on the limit load; Updated chapters throughout to reflect recent advances and new developments in the field; Homework problems for chapters one through eight; A solutions manual available to professors; Fully updated references. Applied Plasticity, Second Edition, is appropriate for use by graduate students studying mechanical, civil, and structural engineering, as well as applied mechanics, and will also serve as a useful reference for engineers working in these fields.

Classical mechanics. Field theory --- Solid state physics --- Applied physical engineering --- Engineering sciences. Technology --- toegepaste mechanica --- ingenieurswetenschappen --- mechanica --- Plastic analysis (Engineering) --- Plasticity. --- Mechanics. --- Mechanics, Applied. --- Mechanical engineering. --- Solid Mechanics. --- Theoretical and Applied Mechanics. --- Mechanical Engineering. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering --- Machinery --- Steam engineering --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory

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Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem. A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids. Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.

Mechanics, Applied. --- Kinematics. --- Mécanique appliquée --- Cinématique --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Theoretical and Applied Mechanics. --- Engineering, general. --- Applications of Mathematics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mathematics --- Mechanics --- Motion --- Mechanics, applied. --- Mathematics. --- Math --- Science --- Construction --- Industrial arts --- Technology --- Engineering --- Machinery --- Steam engineering --- Engineering analysis --- Mathematical analysis --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory

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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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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.