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Author : Philippe G. Ciarlet
Publisher : Springer
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)
Download or read book Plates and Junctions in Elastic Multi-structures written by Philippe G. Ciarlet and published by Springer. This book was released on 1990 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Panasenko
Publisher : Springer Science & Business Media
ISBN 13 : 1402029829
Total Pages : 407 pages
Book Rating : 4.4/5 (2 download)
Download or read book Multi-scale Modelling for Structures and Composites written by G. Panasenko and published by Springer Science & Business Media. This book was released on 2005-06-15 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".
Author :
Publisher : Elsevier
ISBN 13 : 9780080535913
Total Pages : 496 pages
Book Rating : 4.5/5 (359 download)
Download or read book Mathematical Elasticity written by and published by Elsevier. This book was released on 1997-07-22 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.
Author : Antonio Morassi
Publisher : Springer Science & Business Media
ISBN 13 : 3211854304
Total Pages : 262 pages
Book Rating : 4.2/5 (118 download)
Download or read book Classical and Advanced Theories of Thin Structures written by Antonio Morassi and published by Springer Science & Business Media. This book was released on 2009-06-22 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an updated state-of-the-art overview of the general aspects and practical applications of the theories of thin structures, through the interaction of several topics, ranging from non-linear thin-films, shells, junctions, beams of different materials and in different contexts (elasticity, plasticity, etc.). Advanced problems like the optimal design and the modeling of thin films made of brittle or phase-transforming materials will be presented as well.
Author : Jan Awrejcewicz
Publisher : Springer Nature
ISBN 13 : 303037663X
Total Pages : 615 pages
Book Rating : 4.0/5 (33 download)
Download or read book Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2020-04-06 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration
Author : Philippe G. Ciarlet
Publisher : SIAM
ISBN 13 : 1611976804
Total Pages : 575 pages
Book Rating : 4.6/5 (119 download)
Download or read book Mathematical Elasticity written by Philippe G. Ciarlet and published by SIAM. This book was released on 2022-01-22 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second book of a three-volume set, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. Theory of Plates also illustrates how asymptotic methods allow for justification of the Kirchhoff–Love theory of nonlinear elastic plates and presents a detailed mathematical analysis of the von Kármán equations. An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
Author : Philippe G. Ciarlet
Publisher : Walter de Gruyter
ISBN 13 : 3110873729
Total Pages : 309 pages
Book Rating : 4.1/5 (18 download)
Download or read book Asymptotic Methods for Elastic Structures written by Philippe G. Ciarlet and published by Walter de Gruyter. This book was released on 2011-07-20 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : L.I. Manevitch
Publisher : Springer Science & Business Media
ISBN 13 : 3540445714
Total Pages : 276 pages
Book Rating : 4.5/5 (44 download)
Download or read book Mechanics of Periodically Heterogeneous Structures written by L.I. Manevitch and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
Author : Vladimir Kozlov
Publisher : Oxford University Press, USA
ISBN 13 : 9780198514954
Total Pages : 308 pages
Book Rating : 4.5/5 (149 download)
Download or read book Asymptotic Analysis of Fields in Multi-structures written by Vladimir Kozlov and published by Oxford University Press, USA. This book was released on 1999 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines a powerful new method in analysis which has already been instrumental in solving complicated partial differential equations arising in various areas of engineering. It is suitable for those working with partial differential equations and their applications, and an undergraduate knowledge of PDE's and functional analysis is assumed.
Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 9780415383905
Total Pages : 656 pages
Book Rating : 4.3/5 (839 download)
Download or read book Shell Structures, Theory and Applications written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2005-09-22 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology. Examples of shell structures include automobile bodies, domes, water and oil tanks, pipelines, ship hulls, aircraft fuselages, turbine blades, laudspeaker cones, but also balloons, parachutes, biological membranes, a human skin, a bottle of wine or a beer can. This volume contains full texts of over 100 papers presented by specialists from over 20 countries at the 8th Conference "Shell Structures: Theory and Applications", 12-14 October, 2005 in Jurata (Poland). The aim of the meeting was to bring together scientists, designers, engineers and other specialists in shell structures in order to discuss important results and new ideas in this field. The goal is to pursue more accurate theoretical models, to develop more powerful and versatile methods of analysis, and to disseminate expertise in design and maintenance of shell structures. Among the authors there are many distinguished specialists of shell structures, including the authors of general lectures: I.V. Andrianov (Ukraine), V.A. Eremeyev (Russia), A. Ibrahimbegovic (France), P. Klosowski (Poland), B.H. Kröplin (Germany), E. Ramm (Germany), J.M. Rotter (UK) and D. Steigmann (USA). The subject area of the papers covers various theoretical models and numerical analyses of strength, dynamics, stability, optimization etc. of different types of shell structures, their design and maintenance, as well as modelling of some surface-related mechanical phenomena.
Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031261860
Total Pages : 781 pages
Book Rating : 4.0/5 (312 download)
Download or read book Sixty Shades of Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2023-02-13 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.
Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319422774
Total Pages : 288 pages
Book Rating : 4.3/5 (194 download)
Download or read book Shell-like Structures written by Holm Altenbach and published by Springer. This book was released on 2016-08-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Paolo de Mattos Pimenta
Publisher : Springer Science & Business Media
ISBN 13 : 3709102316
Total Pages : 227 pages
Book Rating : 4.7/5 (91 download)
Download or read book New Trends in Thin Structures: Formulation, Optimization and Coupled Problems written by Paolo de Mattos Pimenta and published by Springer Science & Business Media. This book was released on 2011-01-19 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of the book is to convey modern techniques applied within the range of computational mechanics of beams, plates and shells. The topics of interest are wide ranging and include computational aspects of nonlinear theories of shells and beams including dynamics, advanced discretization methods for thin shells and membranes, shear-deformable shell finite elements for SMA composite devices, optimization and design of shells and membranes, fluid-structure interaction with thin-walled structures, contact mechanics with application to thin structures and edge effects in laminated shells.
Author : T.S. Vashakmadze
Publisher : Springer Science & Business Media
ISBN 13 : 9401734798
Total Pages : 256 pages
Book Rating : 4.4/5 (17 download)
Download or read book The Theory of Anisotropic Elastic Plates written by T.S. Vashakmadze and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this work is construction of the mathematical theory of elastic plates and shells, by means of which the investigation of basic boundary value problems of the spatial theory of elasticity in the case of cylindrical do mains reduces to the study of two-dimensional boundary value problems (BVP) of comparatively simple structure. In this respect in sections 2-5 after the introductory material, methods of re duction, known in the literature as usually being based on simplifying hypotheses, are studied. Here, in contradiction to classical methods, the problems, connected with construction of refined theories of anisotropic nonhomogeneous plates with variable thickness without the assumption of any physical and geometrical re strictions, are investigated. The comparative analysis of such reduction methods was carried out, and, in particular, in section 5, the following fact was established: the error transition, occuring with substitution of a two-dimensional model for the initial problem on the class of assumed solutions is restricted from below. Further, in section 6, Vekua's method of reduction, containing regular pro cess of study of three-dimensional problem, is investigated. In this direction, the problems, connected with solvability, convergence of processes, and construction of effective algorithms of approximate solutions are studied.
Author : Michael Artin
Publisher : Springer Science & Business Media
ISBN 13 : 3642785026
Total Pages : 317 pages
Book Rating : 4.6/5 (427 download)
Download or read book Duration and Change written by Michael Artin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume containing original essays from quite diverse fields in mathematics is something of a rarity, especially if renowned scientists show the width of their discipline to the reader. This book is just such a rarity - a veritable gem. It was written to celebrate the 50th anniversary of the mathematical research institute at Oberwolfach. The articles span a range of topics from general reflections on the place of mathematics in contemporary culture to essays dealing with aspects of algebra, analysis, geometry, coding theory, scientific computing and topology. All essays are interrelated, proving the old rule that you can divide and still conquer. A book in which every mathematician or scientist interested in mathematics will find something to take their fancy.
Author : Michel Krizek
Publisher : CRC Press
ISBN 13 : 1482277697
Total Pages : 536 pages
Book Rating : 4.4/5 (822 download)
Download or read book finite element methods written by Michel Krizek and published by CRC Press. This book was released on 2016-04-19 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium and Vibration. These papers address fundamental questions in numerical analysis and the special problems that occur in applying the finite element method to various fields of science and engineering.
Author : Igor V. Andrianov
Publisher : Springer Science & Business Media
ISBN 13 : 354045246X
Total Pages : 527 pages
Book Rating : 4.5/5 (44 download)
Download or read book Asymptotical Mechanics of Thin-Walled Structures written by Igor V. Andrianov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.
