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Three Dimensional Finite Element Implementation For A Dynamic Solid Fluid Mixture At Finite Strain
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Book Synopsis Three-dimensional Finite Element Implementation for a Dynamic Solid-fluid Mixture at Finite Strain by : Davoud Ebrahimi
Download or read book Three-dimensional Finite Element Implementation for a Dynamic Solid-fluid Mixture at Finite Strain written by Davoud Ebrahimi and published by . This book was released on 2007 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the mixture theory formulation of a fluid saturated porous solid subjected to dynamic large strain deformation, a 3D finite element implementation is presented. Under standard mixture theory assumptions, describing motion of the fluid phase relative to the solid phase and following solid phase motion, field equations in the u-p form are derived by applying balance of mass and balance of momentum of the continuum mixture. Solid and fluid volume fractions are used as evolving state parameters through the finite deformation analysis. A compressible neo-Hookean hyperelastic constitutive model with a Kelvin solid viscous enhancement for the solid phase is assumed, along with a generalized form of Darcy's law for the fluid phase. In turn, the governing nonlinear coupled partial differential equations are spatially discretized using a Bubnov-Galerkin method. An unconditionally stable finite differencing procedure is used for the time domain numerical integration. For efficient numerical solution of the 3D nonlinear time dependent coupled formulation which includes both geometric and material nonlinearities, a full consistent tangent matrix of the system of equations has been derived. A mixed hexahedral finite element, quadratic in solid displacement and linear in fluid pore pressure, and the associated consistent tangent matrix are implemented in a C++ finite element code, Tahoe. The implementation is verified with available 1D and 2D benchmark problems. New numerical solutions for 3D large strain dynamic behavior of saturated porous media will be presented. The computational efficiency of the implemented formulation in achieving quadratic convergence is illustrated by means of several numerical examples.
Book Synopsis The Finite Element Method for Three-Dimensional Thermomechanical Applications by : Guido Dhondt
Download or read book The Finite Element Method for Three-Dimensional Thermomechanical Applications written by Guido Dhondt and published by John Wiley & Sons. This book was released on 2004-11-19 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though many 'finite element' books exist, this book provides a unique focus on developing the method for three-dimensional, industrial problems. This is significant as many methods which work well for small applications fail for large scale problems, which generally: are not so well posed introduce stringent computer time conditions require robust solution techniques. Starting from sound continuum mechanics principles, derivation in this book focuses only on proven methods. Coverage of all different aspects of linear and nonlinear thermal mechanical problems in solids are described, thereby avoiding distracting the reader with extraneous solutions paths. Emphasis is put on consistent representation and includes the examination of topics which are not frequently found in other texts, such as cyclic symmetry, rigid body motion and nonlinear multiple point constraints. Advanced material formulations include anisotropic hyperelasticity, large strain multiplicative viscoplasticity and single crystal viscoplasticity. Finally, the methods described in the book are implemented in the finite element software CalculiX, which is freely available (www.calculix.de; the GNU General Public License applies). Suited to industry practitioners and academic researchers alike, The Finite Element Method for Three-Dimensional Thermomechanical Applications expertly bridges the gap between continuum mechanics and the finite element method.
Book Synopsis A Nonlinear, Implicit, Three-dimensional Finite Element Code for Solid and Structural Mechanics - User's Manual by :
Download or read book A Nonlinear, Implicit, Three-dimensional Finite Element Code for Solid and Structural Mechanics - User's Manual written by and published by . This book was released on 1995 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report provides a user's manual for NIKE3D, a fully implicit three-dimensional finite element code for analyzing the finite strain static and dynamic response of inelastic solids, shells, and beams. Spatial discretization is achieved by the use of 8-node solid elements, 2-node truss and beam elements, and 4-node membrane and shell elements. Over twenty constitutive models are available for representing a wide range of elastic, plastic, viscous, and thermally dependent material behavior. Contact-impact algorithms permit gaps, frictional sliding, and mesh discontinuities along material interfaces. Several nonlinear solution strategies are available, including Full-, Modified-, and Quasi-Newton methods. The resulting system of simultaneous linear equations is either solved iteratively by an element-by-element method, or directly by a factorization method, for which case bandwidth minimization is optional. Data may be stored either in or out of core memory to allow for large analyses.
Book Synopsis A Three-dimensional Fluid Finite Element by : Klaus-Jürgen Bathe
Download or read book A Three-dimensional Fluid Finite Element written by Klaus-Jürgen Bathe and published by . This book was released on 1980 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz
Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Poromechanics IV written by Hoe I. Ling and published by DEStech Publications, Inc. This book was released on 2009-01-13 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the Biot conference, named after Maurice Biot and held at Columbia University, this book contains over 170 original papers on different phases of poromechanics in many materials from soils and minerals to human bone. It covers testing and modeling.
Book Synopsis The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition by : J. N. Reddy
Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition written by J. N. Reddy and published by CRC Press. This book was released on 2010-04-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.
Book Synopsis Issues in Computation: 2011 Edition by :
Download or read book Issues in Computation: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 1318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Computation / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Computation. The editors have built Issues in Computation: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Computation in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Computation / 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Book Synopsis Basic Control Volume Finite Element Methods for Fluids and Solids by : Vaughan R. Voller
Download or read book Basic Control Volume Finite Element Methods for Fluids and Solids written by Vaughan R. Voller and published by World Scientific. This book was released on 2009 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Control Volume Finite Element Method (CVFEM) is a hybrid numerical method, combining the physics intuition of Control Volume Methods with the geometric flexibility of Finite Element Methods. The concept of this monograph is to introduce a common framework for the CVFEM solution so that it can be applied to both fluid flow and solid mechanics problems. To emphasize the essential ingredients, discussion focuses on the application to problems in two-dimensional domains which are discretized with linear-triangular meshes. This allows for a straightforward provision of the key information required to fully construct working CVFEM solutions of basic fluid flow and solid mechanics problems.
Book Synopsis The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media by : Roland W. Lewis
Download or read book The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media written by Roland W. Lewis and published by John Wiley & Sons. This book was released on 1999-01-07 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seit der Veröffentlichung der Erstauflage 1987 haben Forschungaktivitäten und professionelle Anwendungen auf dem Gebiet poröser Medien rapide zugenommen. Deshalb wurde die 2. Auflage komplett überarbeitet und aktualisiert. Führende Experten stellen die mechanischen und numerischen Aspekte des Fließens im porösen Medium sehr detailliert dar. (09/98)
Book Synopsis The Finite Element Method for Fluid Dynamics by : O. C. Zienkiewicz
Download or read book The Finite Element Method for Fluid Dynamics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-12-08 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series. New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers. Extensive new coverage of turbulent flow and free surface treatments
Book Synopsis The Finite Element Method, The Basis by : O. C. Zienkiewicz
Download or read book The Finite Element Method, The Basis written by O. C. Zienkiewicz and published by Wiley. This book was released on 2000-10-05 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: New material on recovery, accuracy, error estimates and adaptivity. Increased coverage of mixed and hybrid methods including the Discontinuous Galerkin and Enhanced Strain Methods. Expanded chapter on incompressible behaviour and stabilization procedures. Up to date coverage of meshless (element free) methods. "...the publication of the first edition was an epoch making event...it is written by...the greatest theorist of the subject. If you are serious about finite elements, this is a book that you simply cannot afford to be without." International Journal of Numerical Methods in Engineering. "...the pre-eminent reference work on finite element analysis." Applied Mechanical Review. "...a very good book...presentation is first class...will be of great assistance to all engineers and scientists interested in the method...a very commendable piece of work.—"Journal of the British Society for Strain Measurement.
Book Synopsis The Mathematics and Mechanics of Biological Growth by : Alain Goriely
Download or read book The Mathematics and Mechanics of Biological Growth written by Alain Goriely and published by Springer. This book was released on 2017-05-29 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
Download or read book NIKE3D written by John O. Hallquist and published by . This book was released on 1981 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Continuum Mechanics for Finite Element Analysis by : Javier Bonet
Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.
Book Synopsis Finite Element Computational Fluid Mechanics by : A. J. Baker
Download or read book Finite Element Computational Fluid Mechanics written by A. J. Baker and published by Taylor & Francis US. This book was released on 1983-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced level undergraduates, engineers and scientists, this text derives, develops and applies finite-element solution methodology directly to the differential equation systems governing distinct and practical problem classes in fluid
Book Synopsis The Finite Element Method with Heat Transfer and Fluid Mechanics Applications by : Erian A. Baskharone
Download or read book The Finite Element Method with Heat Transfer and Fluid Mechanics Applications written by Erian A. Baskharone and published by Cambridge University Press. This book was released on 2013-09-16 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for advanced undergraduate and graduate students, the first four chapters of this book are devoted to the introduction of the finite element concept. The focus then covers two essential areas - heat transfer and fluid mechanics: topics with different finite element formulations. Heat transfer applications begin with the classical one-dimensional thin-rod problem, followed by the two-dimensional heat transfer problem including a variety of boundary conditions. Finally, a complicated-geometry three-dimensional problem, involving a cooled radial turbine rotor, is presented, with the cooling passages treated as 'heat sinks' in the finite element analysis. For fluid mechanics, the concept of 'nodeless' degrees of freedom is introduced, with real-life fluid-flow applications. The time-dependent finite-element analysis topic is addressed through the problem of unsteady stator/rotor flow interaction within a turbomachinery stage. Finally, the concept of 'virtually-deformable finite elements', as it relates to the problem of fluid-induced vibration, is explained in detail with many practical applications.
