Variational Methods In The Mechanics Of Solids
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Variational Methods In The Mechanics Of Solids
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Author : S. Nemat-Nasser
language : en
Publisher: Elsevier
Release Date : 2017-01-31
Variational Methods In The Mechanics Of Solids written by S. Nemat-Nasser and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Technology & Engineering categories.
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
Solid Mechanics
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Author : Clive L. Dym
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-05
Solid Mechanics written by Clive L. Dym and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-05 with Science categories.
Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.
Solid Mechanics A Variational Approach
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Author : Clive L. Dym
language : en
Publisher: McGraw-Hill Companies
Release Date : 1973
Solid Mechanics A Variational Approach written by Clive L. Dym and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids
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Author : Martin Fuchs
language : en
Publisher: Springer
Release Date : 2007-05-06
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids written by Martin Fuchs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.
Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
Variational Methods In The Mechanics Of Solids
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Author : S. (ED.) NEMAT-NASSER
language : it
Publisher:
Release Date : 1980
Variational Methods In The Mechanics Of Solids written by S. (ED.) NEMAT-NASSER and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Energy Principles And Variational Methods In Applied Mechanics
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Author : J. N. Reddy
language : en
Publisher: John Wiley & Sons
Release Date : 2017-09-05
Energy Principles And Variational Methods In Applied Mechanics written by J. N. Reddy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Technology & Engineering categories.
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
Variational Methods In The Mechanics Of Solids
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Author : S. Nemat-Nasser
language : en
Publisher: Pergamon
Release Date : 1980-01-01
Variational Methods In The Mechanics Of Solids written by S. Nemat-Nasser and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Boundary value problems categories.
Computational Solid Mechanics
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Author : Marco L. Bittencourt
language : en
Publisher: CRC Press
Release Date : 2014-09-19
Computational Solid Mechanics written by Marco L. Bittencourt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-19 with Science categories.
Presents a Systematic Approach for Modeling Mechanical Models Using Variational Formulation-Uses Real-World Examples and Applications of Mechanical ModelsUtilizing material developed in a classroom setting and tested over a 12-year period, Computational Solid Mechanics: Variational Formulation and High-Order Approximation details an approach that e
Variational Methods In The Mechanics Of Solids
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Author : S. Nemat-Nasser
language : en
Publisher:
Release Date : 1980
Variational Methods In The Mechanics Of Solids written by S. Nemat-Nasser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Calculus of variations categories.