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Author : Soo Aun Tan
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (189 download)
Download or read book Finite Element Analysis of Micropolar Elastic Materials written by Soo Aun Tan and published by . This book was released on 1988 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jong-bum Kim
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (34 download)
Download or read book Dynamic Finite Element Analysis of Micropolar Elastic Materials written by Jong-bum Kim and published by . This book was released on 1992 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In granular or fibrous materials, in which the dimensions of the internal structure can be of the same order of magnitude as major flaws or holes, classical elasticity theory does not consistently provide accurate models of the large stress gradients that may develop. With the incorporation of additional rotational degrees of freedom, the development of micropolar elasticity theory offers promise for the modeling of these phenomena. The principal objective of this investigation was to develop a plane-strain, dynamic, finite element method for the dynamic response of micropolar elastic media. For purposes of analysis, an eight-node isoparametric, quadrilateral element was used, and the dynamic finite element model was verified by comparing its output, including both displacement and microrotational solutions, with analytic solutions for micropolar plate material subject to shear loads. In addition, plates with circular holes under dynamic loads were analyzed. The results obtained for a special case of a classically elastic material were in good agreement with previously obtained analytical solutions. Materials with significant micropolar behavior were found to cause significant reductions in the dynamic stress concentrations caused by the diffraction of plane dilatational waves adjacent to circular holes. Similar trends were observed from the analysis of plates with elliptical holes subject to suddenly applied loads. Finally, two cases were considered: 1) A stationary crack subject to dynamic loads, and 2) a crack propagating at a constant velocity while under constant load. The method for the calculation of dynamic energy release rates, and node releasing techniques for the simulation of crack propagation, were developed for micropolar elastic materials. In both cases, materials with strong micropolar properties were found to have significantly lower dynamic energy release rates than classically elastic material counterparts.
Author : Kenneth James Perano
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (16 download)
Download or read book Application of Micropolar Elasticity to the Finite Element Continuum Analysis of Articulated Structures written by Kenneth James Perano and published by . This book was released on 1983 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boris F. Shorr
Publisher : Springer Science & Business Media
ISBN 13 : 354044579X
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)
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.
Author : James D Lee
Publisher : World Scientific
ISBN 13 : 9811201501
Total Pages : 523 pages
Book Rating : 4.8/5 (112 download)
Download or read book Advanced Continuum Theories And Finite Element Analyses written by James D Lee and published by World Scientific. This book was released on 2020-01-08 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.
Author : David Boast
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Element Analysis of Elastomers written by David Boast and published by . This book was released on 1999 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading researchers and practitioners, Finite Element Analysis of Elastomers blends established knowledge in this important area with up-to-date research topics, practical hints and thought-provoking new ideas. The Editors, have compiled contributions by leading researchers and practitioners in finite element analysis (FEA): the result is an authoritative and agenda-setting volume. Finite element modelling can only be as good as the constitutive laws (material models) used, the means of obtaining and fitting the data for those models, and the accuracy of the boundary conditions. (The latter is of particular importance in cases of contact.) All three questions recieve particular attention in this book, as do aspects such as the interpretation and accuracy of FE outputs, with many practical examples being given. There is a short section on fatigue and failure, where particular concerns and approaches in this challenging area are discussed. Comprehensive coverage is given to particular issues concerning the problems of working with real elastomers, especially filled materials. Key features include: Constitutive laws for hyperelastic and inelastic aspects of behaviour Appropriate test methods Curve fitting to obtain constants for constitutive laws Interpretation of finite element results Modelling of crack growth Example applications.
Author : Yunshan Liu
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (317 download)
Download or read book Voronoi Cell Finite Element Method for Micropolar Thermoelastic Heterogeneous Materials written by Yunshan Liu and published by . This book was released on 1994 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Cemal Eringen
Publisher : Springer Science & Business Media
ISBN 13 : 1461205557
Total Pages : 336 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Grzegorz Lukaszewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461206413
Total Pages : 262 pages
Book Rating : 4.4/5 (612 download)
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.
Author : A. J. M. Ferreira
Publisher : Springer Science & Business Media
ISBN 13 : 1402092008
Total Pages : 236 pages
Book Rating : 4.4/5 (2 download)
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].
Author : Fuang-Yuan Huang
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (158 download)
Download or read book Two and Three-dimensional Isoparametric Finite Elements for Axisymmetric Micropolar Elasticity written by Fuang-Yuan Huang and published by . This book was released on 1986 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite element analysis program for isotropic and orthotropic axisymmetric micropolar (Cosserat) elastic solids are developed in this thesis. Isoparametric elements of 8- and 20- node are used to solve general three-dimensional problems, arid both 4- and 8-node elements are used for two-dimensional cases. Three-dimensional finite element formulation for cylindrical coordinate system is derived. Corresponding Fortran programs are then developed. Patch tests are performed for two-dimensional cases to verify the applicability of the finite element method to non-rectangular geometries. Several two-dimensional and three- dimensional problems for micropolar elastic solids are solved to verify the formulations arid computer program.
Author : Martin H. Sadd
Publisher : Academic Press
ISBN 13 : 0128116498
Total Pages : 432 pages
Book Rating : 4.1/5 (281 download)
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
Author : Eugène Maurice Pierre Cosserat
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.F/5 ( download)
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:
Author : Lucas F. M. da Silva
Publisher : Springer Science & Business Media
ISBN 13 : 3642126677
Total Pages : 370 pages
Book Rating : 4.6/5 (421 download)
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.
Author : D. R. J. Owen
Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.F/5 ( download)
Download or read book Finite Elements in Plasticity written by D. R. J. Owen and published by . This book was released on 1980 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ted Belytschko
Publisher : John Wiley & Sons
ISBN 13 : 1118632702
Total Pages : 834 pages
Book Rating : 4.1/5 (186 download)
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.
Author : Kenneth Thomas Kavanagh
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.:/5 (29 download)
Download or read book The Finite Element Analysis of Physically and Kinematically Nonlinear Elastic Solids written by Kenneth Thomas Kavanagh and published by . This book was released on 1969 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: A displacement formulation of the finite element method is applied to the analysis of physically and kinematically nonlinear elastic solids. The physical nonlinearity is represented by an approximate polynomial form of the strain energy function in a region about the natural unstressed state of the material. Solutions to the nonlinear equations are obtained through a variety of 'linearization' techniques. Several such techniques, based on either a sequence of linear iterations or a sequence of linear increments, are compared with respect to computational efficiency.
