Asymptotic Theory Of Anisotropic Plates And Shells
Asymptotic Theory Of Anisotropic Plates And Shells

Author: Lenser A Aghalovyan

Publisher: World Scientific

Published: 2015-03-03

Total Pages: 377

ISBN-13: 9814579041

DOWNLOAD EBOOK

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.

Theories of Plates and Shells
Theories of Plates and Shells

Author: Reinhold Kienzler

Publisher: Springer Science & Business Media

Published: 2013-06-01

Total Pages: 258

ISBN-13: 3540399054

DOWNLOAD EBOOK

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.

Asymptotic Theories for Plates and Shells
Asymptotic Theories for Plates and Shells

Author: Klaus Hackl

Publisher: CRC Press

Published: 1995-03-06

Total Pages: 148

ISBN-13: 9780582248755

DOWNLOAD EBOOK

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.

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

Author: George Jaiani

Publisher: Springer Science & Business Media

Published: 2008-09-02

Total Pages: 237

ISBN-13: 1402087748

DOWNLOAD EBOOK

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
Analysis of Shells, Plates, and Beams

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2020-06-03

Total Pages: 470

ISBN-13: 3030474917

DOWNLOAD EBOOK

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.

Plates, Laminates, and Shells
Plates, Laminates, and Shells

Author: T. Lewi?ski

Publisher: World Scientific

Published: 2000

Total Pages: 768

ISBN-13: 9789810232061

DOWNLOAD EBOOK

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 0n/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.

Shell Structures: Theory and Applications
Shell Structures: Theory and Applications

Author: Wojciech Pietraszkiewicz

Publisher: CRC Press

Published: 2013-09-18

Total Pages: 602

ISBN-13: 1138000825

DOWNLOAD EBOOK

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
Shell and Membrane Theories in Mechanics and Biology

Author: Holm Altenbach

Publisher: Springer

Published: 2014-09-09

Total Pages: 325

ISBN-13: 331902535X

DOWNLOAD EBOOK

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
Recent Developments in the Theory of Shells

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2019-09-25

Total Pages: 798

ISBN-13: 3030177475

DOWNLOAD EBOOK

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.

Advances in Solid and Fracture Mechanics
Advances in Solid and Fracture Mechanics

Author: Holm Altenbach

Publisher: Springer Nature

Published: 2022-11-08

Total Pages: 302

ISBN-13: 3031183932

DOWNLOAD EBOOK

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.