Mechanics Of Solids And Shells

Author : Gerald Wempner,Demosthenes Talaslidis
Publisher : CRC Press
Page : 552 pages
File Size : 47,6 Mb
Release : 2002-10-29
Category : Science
ISBN : 9781420036428

Get Book

Mechanics of Solids and Shells by Gerald Wempner,Demosthenes Talaslidis Pdf

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.

Author : Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski
Publisher : Springer Nature
Page : 798 pages
File Size : 41,8 Mb
Release : 2019-09-25
Category : Technology & Engineering
ISBN : 9783030177478

Get Book

Recent Developments in the Theory of Shells by Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski Pdf

This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.

Author : Dominique Chapelle,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 50,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662052297

Get Book

The Finite Element Analysis of Shells - Fundamentals by Dominique Chapelle,Klaus-Jurgen Bathe Pdf

The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.

Author : Allan F. Bower
Publisher : CRC Press
Page : 820 pages
File Size : 42,8 Mb
Release : 2009-10-05
Category : Science
ISBN : 9781439802489

Get Book

Applied Mechanics of Solids by Allan F. Bower Pdf

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Author : M.B. Rubin
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 47,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401593793

Get Book

Cosserat Theories: Shells, Rods and Points by M.B. Rubin Pdf

This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. It allows readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories.

Author : Holm Altenbach,Victor Eremeyev
Publisher : Springer
Page : 288 pages
File Size : 48,8 Mb
Release : 2016-08-09
Category : Science
ISBN : 9783319422770

Get Book

Shell-like Structures by Holm Altenbach,Victor Eremeyev Pdf

The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

Author : Reinhold Kienzler,Holm Altenbach,Ingrid Ott
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 55,5 Mb
Release : 2013-06-01
Category : Science
ISBN : 9783540399056

Get Book

Theories of Plates and Shells by Reinhold Kienzler,Holm Altenbach,Ingrid Ott Pdf

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Author : Jack R. Vinson
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 40,8 Mb
Release : 1992-01-31
Category : Science
ISBN : 0792321138

Get Book

The Behavior of Shells Composed of Isotropic and Composite Materials by Jack R. Vinson Pdf

Shell structures are used in all phases of structures, from space vehicles to deep submergence hulls, from nuclear reactors to domes on sport arenas and civic buildings. With new materials and manufacturing methods, curved thin walled structures are being used increasingly. This text is a graduate course in the theory of shells. It covers shells of isotropic materials, such as metal alloys and plastics, and shells of composite materials, such as fibre reinforced polymer, metal or ceramic matrix materials. It provides the essential information for an understanding of the underlying theory, and solution of some of the basic problems. It also provides a basis to study the voluminous shell literature. Beyond being primarily a textbook, it is intended also for self study by practising engineers who would like to learn more about the behaviour of shells. The book has two parts: Part I deals with shells of isotropic materials. In this part the mathematical formulations are introduced involving curvilinear coordinates. The techniques of solutions and resulting behavior is compared to planar thin walled isotropic structures such as plates and beams. Part II then treats the behavior of shells, involving anisotropic composite materials, so widely used today. The analysis involves the complications due to the many elastic constants, effects of transverse shear deformation, thermal thickening and offer effects arising from the properties of composite materials.

Author : Holm Altenbach,Natalia Chinchaladze,Reinhold Kienzler,Wolfgang H. Müller
Publisher : Springer Nature
Page : 470 pages
File Size : 46,9 Mb
Release : 2020-06-03
Category : Science
ISBN : 9783030474911

Get Book

Analysis of Shells, Plates, and Beams by Holm Altenbach,Natalia Chinchaladze,Reinhold Kienzler,Wolfgang H. Müller Pdf

This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : J. Mason
Publisher : Elsevier
Page : 383 pages
File Size : 51,9 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483289649

Get Book

Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory by J. Mason Pdf

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.

Author : Clive L Dym
Publisher : Elsevier
Page : 172 pages
File Size : 45,7 Mb
Release : 2016-06-06
Category : Technology & Engineering
ISBN : 9781483187198

Get Book

Introduction to the Theory of Shells by Clive L Dym Pdf

Introduction to the Theory of Shells provide a brief introduction to the foundations of shell theory, and to some of the important problems that can be tackled within the framework of shell theory. The book discusses topics on the Lamé problem and derivation of beam theory; the basic postulates, or assumptions of shell theory; membrane shells and the bending of circular cylinders; and axisymmetric vibrations of circular cylinders. Mathematicians and students of mathematics will find the book invaluable.

Author : Holm Altenbach,Gennadi I. Mikhasev
Publisher : Springer
Page : 325 pages
File Size : 55,5 Mb
Release : 2014-09-09
Category : Science
ISBN : 9783319025353

Get Book

Shell and Membrane Theories in Mechanics and Biology by Holm Altenbach,Gennadi I. Mikhasev Pdf

This book presents the latest results related to shells characterize and design shells, plates, membranes and other thin-walled structures, a multidisciplinary approach from macro- to nanoscale is required which involves the classical disciplines of mechanical/civil/materials engineering (design, analysis, and properties) and physics/biology/medicine among others. The book contains contributions of a meeting of specialists (mechanical engineers, mathematicians, physicists and others) in such areas as classical and non-classical shell theories. New trends with respect to applications in mechanical, civil and aero-space engineering, as well as in new branches like medicine and biology are presented which demand improvements of the theoretical foundations of these theories and a deeper understanding of the material behavior used in such structures.

Author : F.I. Niordson
Publisher : Elsevier
Page : 423 pages
File Size : 50,7 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780444599094

Get Book

Shell Theory by F.I. Niordson Pdf

This account of the theory of plates and shells is written primarily as a textbook for graduate students in mechanical and civil engineering.The unified treatment of shells of arbitrary shape is accomplished by tensor analysis. This useful tool is introduced in the first chapter, and no knowledge of advanced mathematical methods is required. The general theory developed in the first eight chapters is applied in the remaining part to thin elastic plates and shells with special emphasis on engineering methods and engineering applications. A number of detailed examples illustrate the theory.

Author : A. L. Gol'Denveizer
Publisher : Elsevier
Page : 681 pages
File Size : 40,7 Mb
Release : 2014-05-15
Category : Technology & Engineering
ISBN : 9781483164625

Get Book

Theory of Elastic Thin Shells by A. L. Gol'Denveizer Pdf

Theory of Elastic Thin Shells discusses the mathematical foundations of shell theory and the approximate methods of solution. The present volume was originally published in Russian in 1953, and remains the only text which formulates as completely as possible the different sets of basic equations and various approximate methods of shell analysis emphasizing asymptotic integration. The book is organized into five parts. Part I presents the general formulation and equations of the theory of shells, which are based on the well-known hypothesis of the preservation of the normal element. Part II is devoted to the membrane theory--the most widely used approximate method of analysis of shells that was formulated at approximately the same time as the more general bending theory. In Part III methods of analysis of circular cylindrical shells with the aid of trigonometric series are considered. Part IV is essentially mathematical in character and its purpose is to justify the approximate methods of shell analysis. In Part V approximate methods of analysis of shells are formulated.

Author : Jayme Mason
Publisher : Elsevier Science Limited
Page : 368 pages
File Size : 46,5 Mb
Release : 1980-01-01
Category : Technology & Engineering
ISBN : 0444418997

Get Book

Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory by Jayme Mason Pdf