Search Results for "nonlinear-finite-elements-for-continua-and-structures"

Nonlinear finite elements for continua and structures

Nonlinear finite elements for continua and structures

  • Author: Ted Belytschko,Wing Kam Liu,Brian Moran
  • Publisher: John Wiley & Sons Inc
  • ISBN: N.A
  • Category: Mathematics
  • Page: 650
  • View: 7701
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Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given: * Lagrangian and arbitrary Lagrangian Eulerian treatments of continua * many of the material laws used in today's software and research * solution methods, including explicit and implicit time integration methods and methods for equilibrium problems * basic concepts such as stability and smoothness, and techniques such as linearization and regularization * methods for shells and structures * contact-impact problems * element technology, including multi-field elements Ideal for self-study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures

  • Author: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
  • Publisher: John Wiley & Sons
  • ISBN: 1118700082
  • Category: Science
  • Page: 832
  • View: 5483
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This updated and expanded edition of the bestselling textbookprovides a comprehensive introduction to the methods and theory ofnonlinear finite element analysis. New material provides a conciseintroduction to some of the cutting-edge methods that have evolvedin 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, SecondEdition focuses on the formulation and solution of discreteequations for various classes of problems that are of principalinterest in applications to solid and structural mechanics. Topicscovered include the discretization by finite elements of continuain one dimension and in multi-dimensions; the formulation ofconstitutive equations for nonlinear materials and largedeformations; procedures for the solution of the discreteequations, including considerations of both numerical andmultiscale physical instabilities; and the treatment of structuraland contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solidmechanics and how it can be implemented in finite elementanalysis Covers many of the material laws used in today's software andresearch Introduces advanced topics in nonlinear finite elementmodelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual andMATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, SecondEdition is a must have textbook for graduate students inmechanical engineering, civil engineering, applied mathematics,engineering mechanics, and materials science, and is also anexcellent source of information for researchers and practitionersin industry.

Exam Prep for Nonlinear Finite Elements for Continua and Structures by Ted Belytschko

Exam Prep for Nonlinear Finite Elements for Continua and Structures by Ted Belytschko

  • Author: Robert Powell
  • Publisher: Powell
  • ISBN: 9781497044074
  • Category:
  • Page: 82
  • View: 2998
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Tried and true examination preparation for Exam Prep for Nonlinear Finite Elements for Continua and Structures by Ted Belytschko

Nonlinear Finite Element Methods

Nonlinear Finite Element Methods

  • Author: Peter Wriggers
  • Publisher: Springer Science & Business Media
  • ISBN: 3540710000
  • Category: Mathematics
  • Page: 560
  • View: 2887
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Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

An Introduction to Nonlinear Finite Element Analysis

An Introduction to Nonlinear Finite Element Analysis

With Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics

  • Author: Junuthula Narasimha Reddy,J. N. Reddy
  • Publisher: Oxford University Press, USA
  • ISBN: 0199641757
  • Category: Science
  • Page: 687
  • View: 5427
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The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters. The book may be used as a textbook for an advanced course (after a first course) on the finite element method orthe first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

Programming the Finite Element Method

Programming the Finite Element Method

  • Author: I. M. Smith,D. V. Griffiths,L. Margetts
  • Publisher: John Wiley & Sons
  • ISBN: 1118535928
  • Category: Technology & Engineering
  • Page: 688
  • View: 4353
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Many students, engineers, scientists and researchers havebenefited from the practical, programming-oriented style of theprevious editions of Programming the Finite Element Method,learning how to develop computer programs to solve specificengineering problems using the finite element method. This new fifth edition offers timely revisions that includeprograms and subroutine libraries fully updated to Fortran 2003,which are freely available online, and provides updated material onadvances in parallel computing, thermal stress analysis, plasticityreturn algorithms, convection boundary conditions, and interfacesto third party tools such as ParaView, METIS and ARPACK. Asin the previous editions, a wide variety of problem solvingcapabilities are presented including structural analysis,elasticity and plasticity, construction processes in geomechanics,uncoupled and coupled steady and transient fluid flow and linearand nonlinear solid dynamics. Key features: • Updated to take into account advances in parallelcomputing as well as new material on thermal stressanalysis • Programs use an updated version of Fortran 2003 • Includes exercises for students • Accompanied by website hosting software Programming the FiniteElement Method, Fifth Edition is an ideal textbook forundergraduate and postgraduate students in civil and mechanicalengineering, applied mathematics and numerical analysis, and isalso a comprehensive reference for researchers and practitionersemstyle="mso-bidi-font-style: normal;"./em Further information and source codes described in this text canbe accessed at the following web sites: • ahref="http://www.inside.mines.edu/~vgriffit"www.inside.mines.edu/~vgriffit/a/PFEM5 for the serial programs from Chapters 4-11 • www.parafem.org.ukfor the parallel programs from Chapter 12

Computational Methods for Reinforced Concrete Structures

Computational Methods for Reinforced Concrete Structures

  • Author: Ulrich Häußler-Combe
  • Publisher: John Wiley & Sons
  • ISBN: 3433603634
  • Category: Technology & Engineering
  • Page: 354
  • View: 4571
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The book covers the application of numerical methods to reinforced concrete structures. To analyze reinforced concrete structures linear elastic theories are inadequate because of cracking, bond and the nonlinear and time dependent behavior of both concrete and reinforcement. These effects have to be considered for a realistic assessment of the behavior of reinforced concrete structures with respect to ultimate limit states and serviceability limit states. The book gives a compact review of finite element and other numerical methods. The key to these methods is through a proper description of material behavior. Thus, the book summarizes the essential material properties of concrete and reinforcement and their interaction through bond. These basics are applied to different structural types such as bars, beams, strut and tie models, plates, slabs and shells. This includes prestressing of structures, cracking, nonlinear stressstrain relations, creeping, shrinkage and temperature changes. Appropriate methods are developed for each structural type. Large displacement and dynamic problems are treated as well as short-term quasi-static problems and long-term transient problems like creep and shrinkage. Most problems are illustrated by examples which are solved by the program package ConFem, based on the freely available Python programming language. The ConFem source code together with the problem data is available under open source rules at concrete-fem.com. The author aims to demonstrate the potential and the limitations of numerical methods for simulation of reinforced concrete structures, addressing students, teachers, researchers and designing and checking engineers.

Extended Finite Element Method

Extended Finite Element Method

Tsinghua University Press Computational Mechanics Series

  • Author: Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
  • Publisher: Academic Press
  • ISBN: 0124078567
  • Category: Technology & Engineering
  • Page: 286
  • View: 6592
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Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials. Authored by an expert team from one of China's leading academic and research institutions Offers complete coverage of XFEM, from fundamentals to applications, with numerous examples Provides the understanding needed to effectively use the latest XFEM code and software tools to model and simulate dynamic crack problems

A First Course in Finite Elements

A First Course in Finite Elements

  • Author: Jacob Fish,Ted Belytschko
  • Publisher: Wiley
  • ISBN: 9780470035801
  • Category: Mathematics
  • Page: 336
  • View: 2235
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Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student. This authoritative text on Finite Elements: Adopts a generic approach to the subject, and is not application specific In conjunction with a web-based chapter, it integrates code development, theory, and application in one book Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources Contains a comprehensive set of homework problems at the end of each chapter Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study. Accompanied by a book companion website housing supplementary material that can be found at http://www.wileyeurope.com/college/Fish A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.

One-Dimensional Finite Elements

One-Dimensional Finite Elements

An Introduction to the FE Method

  • Author: Andreas Oechsner,Markus Merkel
  • Publisher: Springer Science & Business Media
  • ISBN: 3642317960
  • Category: Science
  • Page: 400
  • View: 1143
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This textbook presents finite element methods using exclusively one-dimensional elements. The aim is to present the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader easily understands the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. But although the description is easy it remains scientifically correct. The approach using only one-dimensional elements covers not only standard problems but allows also for advanced topics like plasticity or the mechanics of composite materials. Many examples illustrate the concepts and problems at the end of every chapter help to familiarize with the topics.