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Finite Element Analysis Of Micropolar Elastic Materials
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Book Synopsis The Wave Finite Element Method by : Boris F. Shorr
Download or read book The Wave Finite Element Method written by Boris F. Shorr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics, as a science employed for the numerical model ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increas ingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.
Book Synopsis Continuum Mechanics Modeling of Material Behavior by : Martin H. Sadd
Download or read book Continuum Mechanics Modeling of Material Behavior written by Martin H. Sadd and published by Academic Press. This book was released on 2018-03-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries: kinematics of motion and deformation; force and stress measures; and general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. - Offers a thorough, concise and organized presentation of continuum mechanics formulation - Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems - Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study - Features extensive use of exercises, providing more material for student engagement and instructor presentation
Book Synopsis Materials with Complex Behaviour by : Lucas F. M. da Silva
Download or read book Materials with Complex Behaviour written by Lucas F. M. da Silva and published by Springer Science & Business Media. This book was released on 2010-08-17 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common engineering materials reach in many demanding applications such as automotive or aerospace their limits and new developments are required to ful ll increasing demands on performance and characteristics. The properties of ma- rials can be increased for example by combining different materials to achieve better properties than a single constituent or by shaping the material or c- stituents in a speci c structure. Many of these new materials reveal a much more complex behavior than traditional engineering materials due to their advanced str- ture or composition. Furthermore, the classical applications of many engineering materials are extended to new ranges of applications and to more demanding en- ronmental conditions such as elevated temperatures. All these tendencies require in addition to the synthesis of new materials, proper methods for their m- ufacturing and extensive programs for their characterization. In many elds of application, the development of new methods and processes must be acc- plished by accurate and reliable modeling and simulation techniques. Only the interaction between these new developments with regards to manufacturing, m- eling, characterization, further processing and monitoring of materials will allow to meet all demands and to introduce these developments in safety-relevant applications. The 3rd International Conference on Advanced Computational Engineering and Experimenting, ACE-X 2009, was held in Rome, Italy, from 22 to 23 June 2009 with a strong focus on the above mentioned developments.
Book Synopsis Nonlinear Finite Elements for Continua and Structures by : Ted Belytschko
Download or read book Nonlinear Finite Elements for Continua and Structures written by Ted Belytschko and published by John Wiley & Sons. This book was released on 2014-01-07 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.
Book Synopsis Masters Theses in the Pure and Applied Sciences by : Wade H. Shafer
Download or read book Masters Theses in the Pure and Applied Sciences written by Wade H. Shafer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Oata Analysis and Synthesis (CINOAS) * at Purdue. University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all con cerned if the printing and distribution of the volumes were handled by an interna tional publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Cor poration of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 33 (thesis year 1988) a total of 13,273 theses titles from 23 Canadian and 1 85 United States universities. We are sure that this broader base for these titles reported will greatly enhance the value of this important annual reference work. While Volume 33 reports theses submitted in 1988, on occasion, certain univer sities do report theses submitted in previous years but not reported at the time.
Book Synopsis Micropolar Fluids by : Grzegorz Lukaszewicz
Download or read book Micropolar Fluids written by Grzegorz Lukaszewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.
Book Synopsis Microcontinuum Field Theories by : A. Cemal Eringen
Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Book Synopsis MATLAB Codes for Finite Element Analysis by : A. J. M. Ferreira
Download or read book MATLAB Codes for Finite Element Analysis written by A. J. M. Ferreira and published by Springer Science & Business Media. This book was released on 2008-11-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected].
Book Synopsis Theory of Deformable Bodies by : Eugène Maurice Pierre Cosserat
Download or read book Theory of Deformable Bodies written by Eugène Maurice Pierre Cosserat and published by . This book was released on 1970 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elasticity written by Martin H. Sadd and published by Academic Press. This book was released on 2020-03-26 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity: Theory, Applications, and Numerics, Fourth Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. - Provides a thorough yet concise introduction to linear elasticity theory and applications - Offers detailed solutions to problems of nonhomogeneous/graded materials - Features a comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations - Includes online solutions manual and downloadable MATLAB code
Book Synopsis Mesh Methods for Boundary-Value Problems and Applications by : Ildar B. Badriev
Download or read book Mesh Methods for Boundary-Value Problems and Applications written by Ildar B. Badriev and published by Springer Nature. This book was released on 2022-09-14 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers papers presented at the 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, which was held in Kazan, Russia, in October 2020. The papers address the following topics: the theory of mesh methods for boundary-value problems in mathematical physics; non-linear mathematical models in mechanics and physics; algorithms for solving variational inequalities; computing science; and educational systems. Given its scope, the book is chiefly intended for students in the fields of mathematical modeling science and engineering. However, it will also benefit scientists and graduate students interested in these fields.
Book Synopsis Generalized Continua as Models for Classical and Advanced Materials by : Holm Altenbach
Download or read book Generalized Continua as Models for Classical and Advanced Materials written by Holm Altenbach and published by Springer. This book was released on 2016-04-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches
Download or read book Sports Materials written by Thomas Allen and published by MDPI. This book was released on 2020-01-24 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in materials are crucial to the development of sports equipment, from tennis rackets to skis to running shoes. Materials-driven improvements in equipment have helped athletes perform better, while enhancing safety and making sport more accessible and enjoyable. This book brings together a collection of 10 papers on the topic of sports materials, as published in a Special Issue of Applied Sciences. The papers within this book cover a range of sports, including golf, tennis, table tennis and baseball. State-of-the-art engineering techniques, such as finite element modelling, impact testing and full-field strain measurement, are applied to help further our understanding of sports equipment mechanics and the role of materials, with a view to improving performance, enhancing safety and facilitating informed regulatory decision making. The book also includes papers that describe emerging and novel materials, including auxetic materials with their negative Poisson’s ratio (fattening when stretched) and knits made of bamboo charcoal. This collection of papers should serve as a useful resource for sports engineers working in both academia and industry, as well as engineering students who are interested in sports equipment and materials.
Book Synopsis Multiscale Lattices and Composite Materials: Optimal Design, Modeling and Characterization by : Fernando Fraternali
Download or read book Multiscale Lattices and Composite Materials: Optimal Design, Modeling and Characterization written by Fernando Fraternali and published by Frontiers Media SA. This book was released on 2019-11-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Mechanics of Materials and Structural Analysis by : Holm Altenbach
Download or read book Advances in Mechanics of Materials and Structural Analysis written by Holm Altenbach and published by Springer. This book was released on 2018-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of contributions on the advanced mechanics of materials and mechanics of structures approaches, written in honor of Professor Kienzler. It covers various topics related to constitutive models for advanced materials, recent developments in mechanics of configuration forces, as well as new approaches to the efficient modeling and analysis of engineering structures.
Book Synopsis Nonlinear Solid Mechanics by : Adnan Ibrahimbegovic
Download or read book Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and published by Springer Science & Business Media. This book was released on 2009-06-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
Book Synopsis Mechanics and Physics of Structured Media by : Igor Andrianov
Download or read book Mechanics and Physics of Structured Media written by Igor Andrianov and published by Academic Press. This book was released on 2022-01-20 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. - Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more - Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description - Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more - Applies homogenization concepts to various physical systems
