Variational Incremental And Energy Methods In Solid Mechanics And Shell Theory

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Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory

Author : J. Mason
Publisher : Elsevier
ISBN 13 : 1483289648
Total Pages : 383 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory by : J. Mason

Download or read book Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory written by J. Mason and published by Elsevier. This book was released on 2013-10-22 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Applied Mechanics, 4: Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory covers the subject of variational, incremental, and energy methods in Solid Mechanics and Shell Theory from a general standpoint, employing general coordinates and tensor notations. The publication first ponders on mathematical preliminaries, kinematics and stress in three-dimensional solid continua, and the first and second laws of thermodynamics. Discussions focus on the principles of virtual displacements and virtual forces, kinematics of rigid body motions, incremental stresses, kinematics of incremental deformation, description of motion, coordinates, reference and deformed states, tensor formulas for surfaces, and differentials and derivatives of operators. The text then elaborates on constitutive material laws, deformation and stress in shells, first law of thermodynamics applied to shells, and constitutive relations and material laws for shells. Concerns cover hyperelastic incremental material relations, material laws for thin elastic shells, incremental theory and stability, reduced and local forms of the first law of thermodynamics, and description of deformation and motion in shells. The book examines elastic stability, finite element models, variational and incremental principles, variational principles of elasticity and shell theory, and constitutive relations and material laws for shells. The publication is a valuable reference for researchers interested in the variational, incremental, and energy methods in solid mechanics and shell theory.

Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory

Author : Jayme Mason
Publisher :
ISBN 13 : 9780444417589
Total Pages : 0 pages
Book Rating : 4.4/5 (175 download)

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Book Synopsis Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory by : Jayme Mason

Download or read book Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory written by Jayme Mason and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary Differential Equations

Author : J. Kurzweil
Publisher : Elsevier
ISBN 13 : 1483297659
Total Pages : 441 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Ordinary Differential Equations by : J. Kurzweil

Download or read book Ordinary Differential Equations written by J. Kurzweil and published by Elsevier. This book was released on 2014-06-28 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Carathéodory's theory and differential relations.The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.

Proceedings of the 14th International Conference on Vibration Problems

Author : Evangelos J. Sapountzakis
Publisher : Springer Nature
ISBN 13 : 9811580499
Total Pages : 1203 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Proceedings of the 14th International Conference on Vibration Problems by : Evangelos J. Sapountzakis

Download or read book Proceedings of the 14th International Conference on Vibration Problems written by Evangelos J. Sapountzakis and published by Springer Nature. This book was released on 2020-12-23 with total page 1203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the select proceedings of the 14th International Conference on Vibration Problems (ICOVP 2019) held in Crete, Greece. The volume brings together contributions from researchers working on vibration related problems in a wide variety of engineering disciplines such as mechanical engineering, wind and earthquake engineering, nuclear engineering, aeronautics, robotics, and transport systems. The focus is on latest developments and cutting-edge methods in wave mechanics and vibrations, and includes theoretical, experimental, as well as applied studies. The range of topics and the up-to-date results covered in this volume make this interesting for students, researchers, and professionals alike.

Local Effects in the Analysis of Structures

Author : P. Ladeveze
Publisher : Elsevier
ISBN 13 : 1483295443
Total Pages : 351 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Local Effects in the Analysis of Structures by : P. Ladeveze

Download or read book Local Effects in the Analysis of Structures written by P. Ladeveze and published by Elsevier. This book was released on 2014-06-28 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of inclusion of local effects in the analysis of structures is currently one of prime importance for engineering design. The classical computational approaches are not readily adapted to take local effects into account and appropriate treatments are therefore necessary. Providing an introduction to and survey of the specific computational methods, this book contains 16 papers, most of which were presented at the EUROMECH Colloquium `Inclusion of Local Effects in the Analysis of Structures', held in France in 1984. The book begins with the various theories which allow the separation and determination of local and global effects. The next group of papers discuss edge effects for composite structures. The third part comprises two papers concerning dynamic problems and points the way towards non-conventional local effects in structural mechanics. The last part deals with general numerical methods, especially for effects due to large local variations of geometry.

Mechanics of Granular Materials

Author : James T. Jenkins
Publisher : Elsevier
ISBN 13 : 1483289818
Total Pages : 377 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mechanics of Granular Materials by : James T. Jenkins

Download or read book Mechanics of Granular Materials written by James T. Jenkins and published by Elsevier. This book was released on 2017-05-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Applied Mechanics, Volume 7: Mechanics of Granular Materials: New Models and Constitutive Relations provides information pertinent to the fundamental aspects of the mechanics of granular materials. This book presents the theoretical and experimental studies of quasi-static deformations of granular materials. Organized into 30 chapters, this volume begins with an overview of the results on the description of a macroscopic stress measure and measures of the fabric of granular masses that support external loads through frictional contact. This text then introduces some quantities for the macroscopic description of mechanical and graphical characteristics of granular materials. Other chapters consider particle rolling, which appears to be a major microscopic deformation mechanism when interparticle friction is large. This book discusses as well the stress-induced anisotropy of granular materials that have initially strong anisotropic fabric. The final chapter deals with the interpretation of linear instabilities of voidage disturbances in fluidized beds. This book is a valuable resource for scientists, theoreticians, and experimentalists.

Probabilistic Approach to Mechanisms

Author : B.Z. Sandler
Publisher : Elsevier
ISBN 13 : 1483289869
Total Pages : 314 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Probabilistic Approach to Mechanisms by : B.Z. Sandler

Download or read book Probabilistic Approach to Mechanisms written by B.Z. Sandler and published by Elsevier. This book was released on 2013-10-22 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the application of probabilistics to the investigation of mechanical systems. The book shows, for example, how random function theory can be applied directly to the investigation of random processes in the deflection of cam profiles, pitch or gear teeth, pressure in pipes, etc. The author also deals with some other technical applications of probabilistic theory, including, amongst others, those relating to pneumatic and hydraulic mechanisms and roller bearings. Many of the aspects are illustrated by examples of applications of the techniques under discussion.

Nonlinear Problems In Engineering - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 4

Author : Costantino Carmignani
Publisher : World Scientific
ISBN 13 : 9814555479
Total Pages : 290 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Problems In Engineering - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 4 by : Costantino Carmignani

Download or read book Nonlinear Problems In Engineering - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 4 written by Costantino Carmignani and published by World Scientific. This book was released on 1991-10-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume, presented at the workshop on 'Nonlinear Problems in Engineering', held in ENEA Rome (Italy) from 6 - 7 May 1991, and sponsored by ENEA, report nonlinear problems of prevailing engineering interest. Both nonlinear static and dynamic topics are dealt with; in particular, plastic behavior of materials, elastic-plastic models, fracture mechanics, geophysical prospecting, theory of nonlinear control, mixing models for chemical reactors, nonlinear responses of structures, rotor dynamics, and impact loads on structures.

Mechanics of Structured Media

Author : A.P.S. Selvadurai
Publisher : Elsevier
ISBN 13 : 1483164136
Total Pages : 513 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Mechanics of Structured Media by : A.P.S. Selvadurai

Download or read book Mechanics of Structured Media written by A.P.S. Selvadurai and published by Elsevier. This book was released on 2016-06-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Structured Media

Duality Principles in Nonconvex Systems

Author : David Yang Gao
Publisher : Springer Science & Business Media
ISBN 13 : 1475731760
Total Pages : 463 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Duality Principles in Nonconvex Systems by : David Yang Gao

Download or read book Duality Principles in Nonconvex Systems written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.

Mechanics of Solids and Shells

Author : Gerald Wempner
Publisher : CRC Press
ISBN 13 : 1420036424
Total Pages : 534 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mechanics of Solids and Shells by : Gerald Wempner

Download or read book Mechanics of Solids and Shells written by Gerald Wempner and published by CRC Press. This book was released on 2002-10-29 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the theories and methods have evolved over the years, the mechanics of solid bodies has become unduly fragmented. Most books focus on specific aspects, such as the theories of elasticity or plasticity, the theories of shells, or the mechanics of materials. While a narrow focus serves immediate purposes, much is achieved by establishing the common foundations and providing a unified perspective of the discipline as a whole. Mechanics of Solids and Shells accomplishes these objectives. By emphasizing the underlying assumptions and the approximations that lead to the mathematical formulations, it offers a practical, unified presentation of the foundations of the mechanics of solids, the behavior of deformable bodies and thin shells, and the properties of finite elements. The initial chapters present the fundamental kinematics, dynamics, energetics, and behavior of materials that build the foundation for all of the subsequent developments. These are presented in full generality without the usual restrictions on the deformation. The general principles of work and energy form the basis for the consistent theories of shells and the approximations by finite elements. The final chapter views the latter as a means of approximation and builds a bridge between the mechanics of the continuum and the discrete assembly. Expressly written for engineers, Mechanics of Solids and Shells forms a reliable source for the tools of analysis and approximation. Its constructive presentation clearly reveals the origins, assumptions, and limitations of the methods described and provides a firm, practical basis for the use of those methods.

The Mathematical Foundation of Structural Mechanics

Author : F. Hartmann
Publisher : Springer Science & Business Media
ISBN 13 : 3642824013
Total Pages : 383 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis The Mathematical Foundation of Structural Mechanics by : F. Hartmann

Download or read book The Mathematical Foundation of Structural Mechanics written by F. Hartmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book attempts to acquaint engineers who have mastered the essentials of structural mechanics with the mathematical foundation of their science, of structural mechanics of continua. The prerequisites are modest. A good working knowledge of calculus is sufficient. The intent is to develop a consistent and logical framework of theory which will provide a general understanding of how mathematics forms the basis of structural mechanics. Emphasis is placed on a systematic, unifying and rigorous treatment. Acknowledgements The author feels indebted to the engineers Prof. D. Gross, Prof. G. Mehlhorn and Prof. H. G. Schafer (TH Darmstadt) whose financial support allowed him to follow his inclinations and to study mathematics, to Prof. E. Klingbeil and Prof. W. Wendland (TH Darmstadt) for their unceasing effort to achieve the impossible, to teach an engineer mathematics, to the staff of the Department of Civil Engineering at the University of California, Irvine, for their generous hospitality in the academic year 1980-1981, to Prof. R. Szilard (Univ. of Dortmund) for the liberty he granted the author in his daily chores, to Mrs. Thompson (Univ. of Dortmund) and Prof. L. Kollar (Budapest/Univ. of Dortmund) for their help in the preparation of the final draft, to my young colleagues, Dipl.-Ing. S. Pickhardt, Dipl.-Ing. D. Ziesing and Dipl.-Ing. R. Zotemantel for many fruitful discussions, and to cando ing. P. Schopp and Frau Middeldorf for their help in the production of the manuscript. Dortmund, January 1985 Friedel Hartmann Contents Notations ........................................................... XII Introduction ........................................................ .

Advances in the Theory of Plates and Shells

Author : George Voyiadjis
Publisher : Elsevier
ISBN 13 : 1483290964
Total Pages : 324 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Advances in the Theory of Plates and Shells by : George Voyiadjis

Download or read book Advances in the Theory of Plates and Shells written by George Voyiadjis and published by Elsevier. This book was released on 2013-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plates and shells play an important role in structural, mechanical, aerospace and manufacturing applications. The theory of plates and shells have advanced in the past two decades to handle more complicated problems that were previously beyond reach. In this book, the most recent advances in this area of research are documented. These include topics such as thick plate and shell analyses, finite rotations of shell structures, anisotropic thick plates, dynamic analysis, and laminated composite panels. The book is divided into two parts. In Part I, emphasis is placed on the theoretical aspects of the analysis of plates and shells, while Part II deals with modern applications. Numerous eminent researchers in the various areas of plate and shell analyses have contributed to this work which pays special attention to aspects of research such as theory, dynamic analysis, and composite plates and shells.

Advanced Theories of Hypoid Gears

Author : Xudong Wang
Publisher : Elsevier
ISBN 13 : 1483290395
Total Pages : 256 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Advanced Theories of Hypoid Gears by : Xudong Wang

Download or read book Advanced Theories of Hypoid Gears written by Xudong Wang and published by Elsevier. This book was released on 2013-10-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to develop more efficient types of gears, further investigation into the theories of engagement is necessary. Up until now most of the research work on the theories of engagement has been carried out separately on different groups, and based on individual types of profiles. This book aims at developing some universal theories, which can not only be used for all types of gears, but can also be utilized in other fields such as sculptured surfaces. The book has four characteristics: the investigations are concentrated on mismatched tooth surfaces; all the problems are dealt with from a differential geometry point of view; most theories and algorithms are universal in application; and the algorithms are easy to follow and can be used in real situations. In the process of developing the algorithms, the authors have introduced some mathematical methods which are believed to be innovative with regard to the theories of engagement known so far. A theoretical treatment is presented throughout the book, supported by numerical examples and experiments. With the computer programs listed at the end of the volume, any of the proposed methods can be easily utilized in practice. The book is intended for postgraduate students, lecturers, professors, or research staff in mechanical/manufacturing engineering, mathematics and R & D departments of research institutes and universities. It will also be useful for engineers working in the gear manufacturing sector of industry.

New Technical Books

Author : New York Public Library
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis New Technical Books by : New York Public Library

Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1981 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics of Materials and Structures

Author : George Voyiadjis
Publisher : Elsevier
ISBN 13 : 1483291545
Total Pages : 447 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mechanics of Materials and Structures by : George Voyiadjis

Download or read book Mechanics of Materials and Structures written by George Voyiadjis and published by Elsevier. This book was released on 2013-10-22 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide range of topics in the area of mechanics of materials and structures are covered in this volume, ranging from analysis to design. There is no special emphasis on a specific area of research. The first section of the book deals with topics on the mechanics and damage of concrete. It also includes two papers on granular packing structure changes and cumulative damage in polymers. In the second part more theoretical topics in mechanics are discussed, such as shell theory and nonlinear elasticity. The following section dicusses areas dealing primarily with plasticity, viscoelasticity, and viscoplasticity. These include such topics as dynamic and cyclic plasticity. In the final section the subject is structural dynamics, including seismic analysis, composite frames and nonlinear analysis of bridges. The volume is compiled in honor of Professor Maciej P. Bieniek who has served as a teacher and researcher at several universities, and who has made many significant contributions in the evaluation, rehabilitation, and design of infrastructures.

Vibrations and Waves (Part B: Waves)

Author : S. Kaliski
Publisher : Elsevier
ISBN 13 : 148329160X
Total Pages : 395 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Vibrations and Waves (Part B: Waves) by : S. Kaliski

Download or read book Vibrations and Waves (Part B: Waves) written by S. Kaliski and published by Elsevier. This book was released on 2013-10-22 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive overview of wave phenomena in different media with interacting mechanical, electromagnetic and other fields. Equations describing wave propagation in linear and non-linear elastic media are followed by equations of rheological models, models with internal rotational degrees of freedom and non-local interactions. Equations for coupled fields: thermal, elastic, electromagnetic, piezoelectric, and magneto-spin with adequate boundary conditions are also included. Together with its companion volume Vibrations and Waves. Part A: Vibrations this work provides a wealth of information about dynamical phenomena in different media and fields, which will be of considerable interest to both scientists and graduate students.