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Author : Stephan Teichtmeister
Publisher : Unknown
Page : 128 pages
File Size : 54,6 Mb
Release : 2021
Category : Electronic
ISBN : 3937399569
Author : A.-M. Sändig,W. Schiehlen,W.L. Wendland
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 40,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662040157
The simulation of complex engineering problems often involves an interaction or coupling of individual phenomena, which are traditionally related by themselves to separate fields of applied mechanics. Typical examples of these so-called multifield problems are the thermo-mechanical analysis of solids with coupling between mechanical stress analysis and thermal heat transfer processes, the simulation of coupled deformation and fluid transport mechanisms in porous media, the prediction of mass transprot and phase transition phenomena of mixtures, the analysis of sedimentation processes based on an interaction of particle dynamics and viscous flow, the simulation of multibody systems and fluid-structure interactions based on solid-to-solid and solid-to-fluid contact mechanisms.
Author : S. Nemat-Nasser
Publisher : Elsevier
Page : 429 pages
File Size : 46,6 Mb
Release : 2017-01-31
Category : Technology & Engineering
ISBN : 9781483145839
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
Author : Rainer Helmig,Alexander Mielke,Barbara I. Wohlmuth
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 46,5 Mb
Release : 2006-11-28
Category : Technology & Engineering
ISBN : 9783540349617
This book gives an overview of the research projects within the SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik". The book is for researchers and graduate students in applied mechanics and civil engineering.
Author : Wolfgang L. Wendland,Messoud Efendiev
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 46,5 Mb
Release : 2003-05-20
Category : Technology & Engineering
ISBN : 3540006966
The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany.
Author : Kerstin Weinberg,Anna Pandolfi
Publisher : Springer
Page : 307 pages
File Size : 40,7 Mb
Release : 2016-06-24
Category : Science
ISBN : 9783319390222
This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.
Author : Clive L. Dym,Irving H. Shames
Publisher : Springer Science & Business Media
Page : 698 pages
File Size : 51,7 Mb
Release : 2013-04-05
Category : Science
ISBN : 9781461460343
Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.
Author : Sergio Conti,Klaus Hackl
Publisher : Springer
Page : 257 pages
File Size : 43,9 Mb
Release : 2015-04-23
Category : Science
ISBN : 9783319182421
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data.
Author : Martin Fuchs,Gregory Seregin
Publisher : Springer
Page : 276 pages
File Size : 54,6 Mb
Release : 2007-05-06
Category : Mathematics
ISBN : 9783540444428
Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
Author : Wulfinghoff, Stephan
Publisher : KIT Scientific Publishing
Page : 290 pages
File Size : 54,8 Mb
Release : 2014-12-10
Category : Electronic
ISBN : 9783731502456
Author : Klaus Hackl
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 53,5 Mb
Release : 2010-06-02
Category : Science
ISBN : 9789048191956
Variational calculus has been the basis of a variety of powerful methods in the ?eld of mechanics of materials for a long time. Examples range from numerical schemes like the ?nite element method to the determination of effective material properties via homogenization and multiscale approaches. In recent years, however, a broad range of novel applications of variational concepts has been developed. This c- prises the modeling of the evolution of internal variables in inelastic materials as well as the initiation and development of material patterns and microstructures. The IUTAM Symposium on “Variational Concepts with Applications to the - chanics of Materials” took place at the Ruhr-University of Bochum, Germany, on September 22–26, 2008. The symposium was attended by 55 delegates from 10 countries. Altogether 31 lectures were presented. The objective of the symposium was to give an overview of the new dev- opments sketched above, to bring together leading experts in these ?elds, and to provide a forum for discussing recent advances and identifying open problems to work on in the future. The symposium focused on the developmentof new material models as well as the advancement of the corresponding computational techniques. Speci?c emphasis is put on the treatment of materials possessing an inherent - crostructure and thus exhibiting a behavior which fundamentally involves multiple scales. Among the topics addressed at the symposium were: 1. Energy-based modeling of material microstructures via envelopes of n- quasiconvex potentials and applications to plastic behavior and pha- transformations.
Author : Holm Altenbach
Publisher : Springer Nature
Page : 531 pages
File Size : 41,7 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031540639
Author : C. A. Brebbia
Publisher : Springer
Page : 564 pages
File Size : 52,9 Mb
Release : 1985
Category : Boundary element methods
ISBN : UCSD:31822002117224
Author : Jean-Paul Pelteret,Paul Steinmann
Publisher : Walter de Gruyter GmbH & Co KG
Page : 403 pages
File Size : 48,5 Mb
Release : 2019-12-16
Category : Science
ISBN : 9783110418576
From fabrication to testing and modeling this monograph covers all aspects on the materials class of magneto active polymers. The focus is on computational modeling of manufacturing processes and material parameters. As other smart materials, these elastomers have the ability to change electrical and mechanical properties upon application of magnetic fields. This allows for novel applications ranging from biomedical engineering to mechatronics.
Author : Walter D. Pilkey,Walter Wunderlich
Publisher : CRC Press
Page : 902 pages
File Size : 42,8 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:49015001457291
Intended for professionals in civil, mechanical and aerospace engineering, this book presents a unified approach to the variational and computational mechanics of solids and structures.
