Application Of The Gfem Method To Solve Structural Mechanics Problems

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Application of the GFEM Method to Solve Structural Mechanics Problems

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (637 download)

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Book Synopsis Application of the GFEM Method to Solve Structural Mechanics Problems by :

Download or read book Application of the GFEM Method to Solve Structural Mechanics Problems written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of discontinuous fields with a standard finite element approximation presents challenges like restrictions on the finite element mesh to align with the discontinuity and the need for remeshing as the discontinuity evolves. The generalized finite element method (GFEM) was proposed as a numerical method to solve some of these challenges. It is based on the partition of unity framework. The GFEM method enriches the standard finite element shape functions locally with enrichment functions which are based on the physics associated with the problem. In this document, our aim is to utilize this method for modeling the nonlinear interface behavior of two surfaces in contact. The thesis is divided into two parts. In the first part, we explore the use of the generalized finite element method to solve a simple 1-D problem of a bar subjected to an axial body force. The force is applied in a highly localized location, and has high spatial derivatives and represents a significant challenge for traditional FEM approaches. We use the GFEM method to incorporate this local character in the underlying finite element mesh. This problem demonstrates the advantages of the GFEM method over the classical finite element method. The second part attempts to model a friction interface problem using the GFEM method. We consider a 1-D bar resting on a rigid support with friction at their interface. The bar is subjected to a uniform normal traction and a pull out point load. The analytical solution is described and the numerical framework for the GFEM method along with the solution algorithm is detailed. The GFEM method helps evaluate the stick-slip interface more efficiently (w.r.t number of degrees of freedom needed). The solution provides an insight into the selection of enrichment function and enrichment nodes.

The Finite Element Method for Solid and Structural Mechanics

Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080455581
Total Pages : 653 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis The Finite Element Method for Solid and Structural Mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Introduction to Finite Element Analysis and Design

Author : Nam-Ho Kim
Publisher : John Wiley & Sons
ISBN 13 : 1119078733
Total Pages : 1074 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Introduction to Finite Element Analysis and Design by : Nam-Ho Kim

Download or read book Introduction to Finite Element Analysis and Design written by Nam-Ho Kim and published by John Wiley & Sons. This book was released on 2018-05-24 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.

Engineering Computation of Structures: The Finite Element Method

Author : Maria Augusta Neto
Publisher : Springer
ISBN 13 : 3319177109
Total Pages : 325 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Engineering Computation of Structures: The Finite Element Method by : Maria Augusta Neto

Download or read book Engineering Computation of Structures: The Finite Element Method written by Maria Augusta Neto and published by Springer. This book was released on 2015-09-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the proper relationship between theory and practice, within the finite element method: Practice without theory is blind, but theory without practice is sterile. Beginning with elasticity basic concepts and the classical theories of stressed materials, the work goes on to apply the relationship between forces, displacements, stresses and strains on the process of modeling, simulating and designing engineered technical systems. Chapters discuss the finite element equations for static, eigenvalue analysis, as well as transient analyses. Students and practitioners using commercial FEM software will find this book very helpful. It uses straightforward examples to demonstrate a complete and detailed finite element procedure, emphasizing the differences between exact and numerical procedures.

Finite Element Applications

Author : Michael Okereke
Publisher : Springer
ISBN 13 : 3319671251
Total Pages : 488 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Finite Element Applications by : Michael Okereke

Download or read book Finite Element Applications written by Michael Okereke and published by Springer. This book was released on 2018-01-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook demonstrates the application of the finite element philosophy to the solution of real-world problems and is aimed at graduate level students, but is also suitable for advanced undergraduate students. An essential part of an engineer’s training is the development of the skills necessary to analyse and predict the behaviour of engineering systems under a wide range of potentially complex loading conditions. Only a small proportion of real-life problems can be solved analytically, and consequently, there arises the need to be able to use numerical methods capable of simulating real phenomena accurately. The finite element (FE) method is one such widely used numerical method. Finite Element Applications begins with demystifying the ‘black box’ of finite element solvers and progresses to addressing the different pillars that make up a robust finite element solution framework. These pillars include: domain creation, mesh generation and element formulations, boundary conditions, and material response considerations. Readers of this book will be equipped with the ability to develop models of real-world problems using industry-standard finite element packages.

Finite Element Methods for Structures with Large Stochastic Variations

Author : Isaac Elishakoff
Publisher : Oxford University Press, USA
ISBN 13 : 9780198526315
Total Pages : 282 pages
Book Rating : 4.5/5 (263 download)

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Book Synopsis Finite Element Methods for Structures with Large Stochastic Variations by : Isaac Elishakoff

Download or read book Finite Element Methods for Structures with Large Stochastic Variations written by Isaac Elishakoff and published by Oxford University Press, USA. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.

The Finite Element Method for Mechanics of Solids with ANSYS Applications

Author : Ellis H. Dill
Publisher : CRC Press
ISBN 13 : 1439845840
Total Pages : 500 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis The Finite Element Method for Mechanics of Solids with ANSYS Applications by : Ellis H. Dill

Download or read book The Finite Element Method for Mechanics of Solids with ANSYS Applications written by Ellis H. Dill and published by CRC Press. This book was released on 2011-08-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the finite element method (FEM) has become the standard technique used to solve static and dynamic problems associated with structures and machines, ANSYS software has developed into the engineer's software of choice to model and numerically solve those problems. An invaluable tool to help engineers master and optimize analysis, The Finite El

Energy and Finite Element Methods in Structural Mechanics

Author : Irving H Shames
Publisher : CRC Press
ISBN 13 : 9780891165057
Total Pages : 784 pages
Book Rating : 4.1/5 (65 download)

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Book Synopsis Energy and Finite Element Methods in Structural Mechanics by : Irving H Shames

Download or read book Energy and Finite Element Methods in Structural Mechanics written by Irving H Shames and published by CRC Press. This book was released on 1985-01-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Advances in Structural Mechanics Modeled with FEM

Author : Angelo Marcello Tarantino
Publisher : Mdpi AG
ISBN 13 : 9783036509907
Total Pages : 266 pages
Book Rating : 4.5/5 (99 download)

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Book Synopsis Advances in Structural Mechanics Modeled with FEM by : Angelo Marcello Tarantino

Download or read book Advances in Structural Mechanics Modeled with FEM written by Angelo Marcello Tarantino and published by Mdpi AG. This book was released on 2021-06-28 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that many structural and physical problems cannot be solved by analytical approaches. These problems require the development of numerical methods to get approximate but accurate solutions. The minite element method (FEM) represents one of the most typical methodologies that can be used to achieve this aim, due to its simple implementation, easy adaptability, and very good accuracy. For these reasons, the FEM is a widespread technique which is employed in many engineering fields, such as civil, mechanical, and aerospace engineering. The large-scale deployment of powerful computers and the consequent recent improvement of the computational resources have provided the tools to develop numerical approaches that are able to solve more complex structural systems characterized by peculiar mechanical configurations. Laminated or multi-phase composites, structures made of innovative materials, and nanostructures are just some examples of applications that are commonly and accurately solved by the FEM. Analogously, the same numerical approaches can be employed to validate the results of experimental tests. The main aim of this Special Issue is to collect numerical investigations focused on the use of the finite element method

Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications

Author : Nicholas Fantuzzi
Publisher :
ISBN 13 : 9783036501376
Total Pages : 220 pages
Book Rating : 4.5/5 (13 download)

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Book Synopsis Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications by : Nicholas Fantuzzi

Download or read book Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications written by Nicholas Fantuzzi and published by . This book was released on 2021 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.

Finite Element Method

Author : Michael R. Gosz
Publisher : CRC Press
ISBN 13 : 1420056557
Total Pages : 400 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Finite Element Method by : Michael R. Gosz

Download or read book Finite Element Method written by Michael R. Gosz and published by CRC Press. This book was released on 2017-03-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

The Finite Element Method: Solid mechanics

Author : O. C. Zienkiewicz
Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)

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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:

The Finite Element Method in Engineering

Author : Singiresu S. Rao
Publisher : Elsevier
ISBN 13 : 0080952046
Total Pages : 727 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis The Finite Element Method in Engineering by : Singiresu S. Rao

Download or read book The Finite Element Method in Engineering written by Singiresu S. Rao and published by Elsevier. This book was released on 2010-12-20 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus.This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity.This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering. Examples and applications in Matlab, Ansys, and Abaqus Structured problem solving approach in all worked examples New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems More examples and exercises All figures revised and redrawn for clarity

Energy and Finite Element Methods in Structural Mechanics

Author : IrvingH Shames
Publisher : Routledge
ISBN 13 : 1351451456
Total Pages : 417 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Energy and Finite Element Methods in Structural Mechanics by : IrvingH Shames

Download or read book Energy and Finite Element Methods in Structural Mechanics written by IrvingH Shames and published by Routledge. This book was released on 2018-05-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Extended Finite Element Method

Author : Amir R. Khoei
Publisher : John Wiley & Sons
ISBN 13 : 1118869680
Total Pages : 600 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2014-12-16 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Discretization Methods in Structural Mechanics

Author : Günther Kuhn
Publisher : Springer Science & Business Media
ISBN 13 : 3642493734
Total Pages : 455 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Discretization Methods in Structural Mechanics by : Günther Kuhn

Download or read book Discretization Methods in Structural Mechanics written by Günther Kuhn and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of the digital computer has given great impetus to the development of modern discretization methods in structural mechanics. The young history of the finite element method (FEM) reflects the dramatic increase of computing speed and storage capacity within a relatively short period of time. The history of the boundary element method (BEM) is still younger. Presently, intense scientific efforts aimed at extending the range of application of the BEM can be observed. More than 10 years ago, O.C. Zienkiewicz and his co-workers published the first papers on the coupling of FE and BE discretizations of subregions of solids for the purpose of exploiting the complementary advantages of the two discretization methods and reducing their disadvantages. The FEM has revolutionized structural analysis in industry as well as academia. The BEM has a fair share in the continuation of this revolution. Both discretization methods have become a domain of vigorous, world-wide research activities. The rapid increase of the number of specialized journals and scientific meetings indicates the remarkable increase of research efforts in this important subdolll.ain of computational ulechanics. Several discussions of this situation in the Committee for Discretization Methods ill Solid Mechanics of the Society for Applied Mathematics and Mechanics (GAMM) resulted in the plan to submit a proposal to the General Assembly of the International Union of Theoretical and Applied Mechanics (IUTAM) to sponsor a pertinent IUTAM Symposium.

Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

Author : Erwin Stein
Publisher : Springer Science & Business Media
ISBN 13 : 3211380604
Total Pages : 368 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics by : Erwin Stein

Download or read book Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics written by Erwin Stein and published by Springer Science & Business Media. This book was released on 2007-04-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan tities of interest—in comparison with global error estimates—based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.