Asymptotic Theory Of Anisotropic Plates And Shells

Asymptotic Theory Of Anisotropic Plates And Shells Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Asymptotic Theory Of Anisotropic Plates And Shells book. This book definitely worth reading, it is an incredibly well-written.

Asymptotic Theory of Anisotropic Plates and Shells

Lenser Aghalovyan
Asymptotic Theory of Anisotropic Plates and Shells Book PDF

Author : Lenser Aghalovyan
Publisher : World Scientific
Page : 376 pages
File Size : 42,8 Mb
Release : 2015-03-03
Category : Technology & Engineering
ISBN : 9789814579049

Get Book

Asymptotic Theory of Anisotropic Plates and Shells by Lenser Aghalovyan Pdf

A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied. The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation. Contents:Plane Problem for a Rectangular Elastic StripThe Winkler-Fuss ModelDirect Asymptotic Integration of 3D Elasticity Equations for Orthotropic PlatesMatching of the Outer Solution and the Boundary Layer for an Orthotropic PlateElastic Plates of General AnisotropyNon-Classical Boundary Value Problems for Anisotropic PlatesTwo-Layer Anisotropic Plates. The Modulus of a Layered FoundationAsymptotic Analysis of the Outer Problem for an Orthotropic ShellBoundary Layer in Orthotropic ShellsNon-Classical Boundary Value Problems for Anisotropic ShellsSpatial Dynamic Problems for Anisotropic Plates Readership: Researchers and specialists in applied mathematics and mechanical engineering, undergraduates and graduate students. Keywords:Asymptotic Theories;Beams;Plates;Shells;Problems of Elasticity Theory;Layered Thermoelastic Thin Structures;Elastic Foundations;Non-Classical Boundary Problems for Anisotropic Beams, Plates and Shells;Singularly Perturbed Systems;Boundary LayerKey Features:The book exposits consistent theory for composite thin walled elastic structures. The obtained results are applied to justification and refinement of ad hoc engineering structural theoriesThe effective solutions of a variety of boundary value problems are obtainedThere is a clear potential for numerous advanced industrial applications

IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models

George Jaiani,Paolo Podio-Guidugli
IUTAM Symposium on Relations of Shell Plate Beam and 3D Models Book PDF

Author : George Jaiani,Paolo Podio-Guidugli
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 45,9 Mb
Release : 2008-09-02
Category : Technology & Engineering
ISBN : 9781402087745

Get Book

IUTAM Symposium on Relations of Shell, Plate, Beam and 3D Models by George Jaiani,Paolo Podio-Guidugli Pdf

This proceedings volume contains papers on the main topics reflecting the scientific programme of the symposium: hierarchical, refined mathematical and technical models of shells, plates, and beams; relation of 2D and 1D models to 3D linear, non-linear and physical models; junction problems. In particular, peculiarities of cusped shells, plates, and beams are emphasized and special attention is paid to junction, multibody and fluid-elastic shell (plate, beam) interaction problems and their applications. The contributions are theoretical, practical, and numerical in character. This volume is dedicated to Ilia Vekua on the centenary of his birth.

Analysis of Shells, Plates, and Beams

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

Author : Holm Altenbach,Natalia Chinchaladze,Reinhold Kienzler,Wolfgang H. Müller
Publisher : Springer Nature
Page : 470 pages
File Size : 54,5 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.

Shell Structures: Theory and Applications

Wojciech Pietraszkiewicz,Jaroslaw Gorski
Shell Structures Theory and Applications Book PDF

Author : Wojciech Pietraszkiewicz,Jaroslaw Gorski
Publisher : CRC Press
Page : 600 pages
File Size : 42,6 Mb
Release : 2013-09-18
Category : Technology & Engineering
ISBN : 9781482229080

Get Book

Shell Structures: Theory and Applications by Wojciech Pietraszkiewicz,Jaroslaw Gorski Pdf

Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insects. In the human body arteries, the shell of the eye, the diaphragm, the skin or the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 3 contains 137 contributions presented at the 10th Conference “Shell Structures: Theory and Applications” held October 16-18, 2013 in Gdansk, Poland. The papers cover a wide spectrum of scientific and engineering problems which are divided into seven broad groups: general lectures, theoretical modelling, stability, dynamics, bioshells, numerical analyses, and engineering design. The volume will be of interest to researchers and designers dealing with modelling and analyses of shell structures and thin-walled structural elements.

Shell and Membrane Theories in Mechanics and Biology

Holm Altenbach,Gennadi I. Mikhasev
Shell and Membrane Theories in Mechanics and Biology Book PDF

Author : Holm Altenbach,Gennadi I. Mikhasev
Publisher : Springer
Page : 321 pages
File Size : 48,6 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.

Recent Developments in the Theory of Shells

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

Author : Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski
Publisher : Springer Nature
Page : 798 pages
File Size : 45,7 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.

Plates, Laminates and Shells

T Lewinski,J J Telega
Plates Laminates and Shells Book PDF

Author : T Lewinski,J J Telega
Publisher : World Scientific
Page : 768 pages
File Size : 44,5 Mb
Release : 2000-03-23
Category : Mathematics
ISBN : 9789814497176

Get Book

Plates, Laminates and Shells by T Lewinski,J J Telega Pdf

This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice, such as: statical analysis of highly nonhomogeneous plates and shells for which common discretization techniques fail to be efficient, assessing stiffness reduction of cracked [00n/900m]s laminates, and assessing ultimate loads for perfectly plastic plates and shells composed of repeated segments. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables. Contents:Mathematical Preliminaries:Function Spaces, Convex Analysis, Variational ConvergenceElastic Plates:Three-Dimensional Analysis and Effective Models of Composite PlatesThin Plates in Bending and StretchingNonlinear Behavior of PlatesModerately Thick Transversely Symmetric PlatesSandwich Plates with Soft CoreElastic Plates with Cracks:Unilateral Cracks in Thin PlatesUnilateral Cracks in Plates with Transverse Shear DeformationPart-Through the Thickness CracksStiffness Loss of Cracked LaminatesComments and Bibliographical NotesElastic–Perfectly Plastic Plates:Mathematical Complements, Homogenization of Functionals with Linear GrowthHomogenization of Plates Loaded by Forces and MomentsComments and Bibliographical NotesElastic and Plastic Shells:Linear and Nonlinear Models of Elastic ShellsHomogenization and Stiffnesses of Thin Periodic Elastic Shells. Linear ApproachHomogenized Properties of Thin Periodic Elastic Shells Undergoing Moderately Large Rotations Around TangentsPerfectly Plastic ShellsApplication of Homogenization Methods in Optimum Design of Plates and Shells:Mathematical ComplementsTwo-Phase Plate in Bending. Hashin-Shtrikman BoundsTwo-Phase Plate. Hashin-Shtrikman Bounds for the In-Plane ProblemExplicit Formulae for Effective Bending Stiffnesses and Compliances of Ribbed PlatesExplicit Formulae for Effective Membrane Stiffnesses and Compliances of Ribbed PlatesThin Bending Two-Phase Plates of Minimum ComplianceMinimum Compliance Problem for Thin Plates of Varying Thickness: Application of Young MeasuresThin Shells of Minimum ComplianceTruss-Like Michell ContinuaComments and Bibliographical Notes Readership: Applied mathematicians and specialists in plate, shell theory and optimization of structures. keywords:Linear and Nonlinear Plates and Shells;Cracked Plates and Laminates;Perfectly Plastic Plates and Shells;Asymptotic Analysis;Homogenization;Topology Optimization “… the level of mathematical accuracy is very high. The authors present a representative selection of known results, including some of their extensive research, and experts in the field will find a lot of information … the methods used here are of broader significance and thus may provide inspiration for readers interested in quite distant fields of applied mathematics.” European Mathematical Society

Advances in Solid and Fracture Mechanics

Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov
Advances in Solid and Fracture Mechanics Book PDF

Author : Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov
Publisher : Springer Nature
Page : 302 pages
File Size : 42,8 Mb
Release : 2022-11-08
Category : Technology & Engineering
ISBN : 9783031183935

Get Book

Advances in Solid and Fracture Mechanics by Holm Altenbach,Svetlana M. Bauer,Alexander K. Belyaev,Dmitri A. Indeitsev,Valery P. Matveenko,Yuri V. Petrov Pdf

This book presents a collection of articles reporting the current challenges in solid and fracture mechanics. The book is devoted to the 90th birthday of academician Nikita F. Morozov—a well-known specialist in the field of solid and fracture mechanics.

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Isaac E Elishakoff
Handbook On Timoshenko ehrenfest Beam And Uflyand Mindlin Plate Theories Book PDF

Author : Isaac E Elishakoff
Publisher : World Scientific
Page : 798 pages
File Size : 48,6 Mb
Release : 2019-10-29
Category : Technology & Engineering
ISBN : 9789813236530

Get Book

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories by Isaac E Elishakoff Pdf

The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

Shell Structures: Theory and Applications Volume 4

Wojciech Pietraszkiewicz,Wojciech Witkowski
Shell Structures Theory and Applications Volume 4 Book PDF

Author : Wojciech Pietraszkiewicz,Wojciech Witkowski
Publisher : CRC Press
Page : 1012 pages
File Size : 50,6 Mb
Release : 2017-10-30
Category : Technology & Engineering
ISBN : 9781351680479

Get Book

Shell Structures: Theory and Applications Volume 4 by Wojciech Pietraszkiewicz,Wojciech Witkowski Pdf

Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Shell-like Structures

Holm Altenbach,Victor A. Eremeyev
Shell like Structures Book PDF

Author : Holm Altenbach,Victor A. Eremeyev
Publisher : Springer Science & Business Media
Page : 750 pages
File Size : 45,5 Mb
Release : 2011-07-03
Category : Technology & Engineering
ISBN : 9783642218552

Get Book

Shell-like Structures by Holm Altenbach,Victor A. Eremeyev Pdf

In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.

Asymptotic Theories for Plates and Shells

Klaus Hackl,Robert P. Gilbert
Asymptotic Theories for Plates and Shells Book PDF

Author : Klaus Hackl,Robert P. Gilbert
Publisher : CRC Press
Page : 148 pages
File Size : 48,6 Mb
Release : 1995-03-06
Category : Mathematics
ISBN : 0582248752

Get Book

Asymptotic Theories for Plates and Shells by Klaus Hackl,Robert P. Gilbert Pdf

This Research Note contains papers presented at the SIAM 40th anniversary meeting organised by the editors and held in Los Angeles in 1992. The papers focus on new fundamental results in the theory of plates and shells, with particular emphasis on the treatment of different materials and the nonlinearities involved. Asymptotic methods, such as formal expansions, homogenization, and two-scale convergence, are analytical tools that pervade much of the research. Some of the papers are also concerned with existence results, especially for nonlinear problems, using various functional analytic methods.

Vibrations of Hollow Elastic Bodies

Magomed F. Mekhtiev
Vibrations of Hollow Elastic Bodies Book PDF

Author : Magomed F. Mekhtiev
Publisher : Springer
Page : 212 pages
File Size : 53,7 Mb
Release : 2018-02-02
Category : Science
ISBN : 9783319743547

Get Book

Vibrations of Hollow Elastic Bodies by Magomed F. Mekhtiev Pdf

This book focuses on the justification and refinement of highly diverse approximate dynamic models for engineering structures arising in modern technology, including high-tech domains involving nano- and meta-materials. It proposes a classification for vibration spectra over a broad frequency domain and evaluates the range of validity of various existing 2D theories for thin-walled shells by comparing them with 3D benchmark solutions. The dynamic equations in 3D elasticity are applied to the analysis of harmonic vibrations in hollow bodies with canonical shapes. New exact homogeneous and inhomogeneous solutions are derived for cylinders, spheres and cones (including spherical and conical layers), as well as for plates of variable thickness. The book includes a wealth of numerical examples, as well as refined versions of 2D dynamic formulations. Boundary value problems for hollow bodies are also addressed.

Recent Approaches in the Theory of Plates and Plate-Like Structures

Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Recent Approaches in the Theory of Plates and Plate Like Structures Book PDF

Author : Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov
Publisher : Springer Nature
Page : 326 pages
File Size : 53,9 Mb
Release : 2022-01-01
Category : Technology & Engineering
ISBN : 9783030871857

Get Book

Recent Approaches in the Theory of Plates and Plate-Like Structures by Holm Altenbach,Svetlana Bauer,Victor A. Eremeyev,Gennadi I. Mikhasev,Nikita F. Morozov Pdf

This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Modern Trends in Structural and Solid Mechanics 2

Noel Challamel,Julius Kaplunov,Izuru Takewaki
Modern Trends in Structural and Solid Mechanics 2 Book PDF

Author : Noel Challamel,Julius Kaplunov,Izuru Takewaki
Publisher : John Wiley & Sons
Page : 306 pages
File Size : 50,5 Mb
Release : 2021-06-29
Category : Science
ISBN : 9781786307156

Get Book

Modern Trends in Structural and Solid Mechanics 2 by Noel Challamel,Julius Kaplunov,Izuru Takewaki Pdf

This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.