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| Author | : Javier Bonet |
| Publisher | : Cambridge University Press |
| Total Pages | : 272 |
| Release | : 1997-09-28 |
| Genre | : Mathematics |
| ISBN | : 9780521572729 |
A unified treatment of nonlinear continuum analysis and finite element techniques.
| Author | : Ted Belytschko |
| Publisher | : John Wiley & Sons |
| Total Pages | : 834 |
| Release | : 2014-01-07 |
| Genre | : Science |
| ISBN | : 1118632702 |
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 | : Javier Bonet |
| Publisher | : Cambridge University Press |
| Total Pages | : 137 |
| Release | : 2012-08-02 |
| Genre | : Science |
| ISBN | : 1139561308 |
Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.
| Author | : Javier Bonet |
| Publisher | : Cambridge University Press |
| Total Pages | : 349 |
| Release | : 2008-03-13 |
| Genre | : Science |
| ISBN | : 1139467549 |
Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.
| Author | : Javier Bonet |
| Publisher | : Cambridge University Press |
| Total Pages | : 351 |
| Release | : 2021-03-18 |
| Genre | : Mathematics |
| ISBN | : 1107115620 |
The perfect introduction to the theory and computer programming for the dynamic simulation of nonlinear solid mechanics.
| Author | : Javier Bonet |
| Publisher | : Cambridge University Press |
| Total Pages | : 343 |
| Release | : 2016-06-23 |
| Genre | : Mathematics |
| ISBN | : 1107115795 |
A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.
| Author | : Peter Wriggers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 566 |
| Release | : 2008-11-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3540710019 |
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.
| Author | : Gerhard A. Holzapfel |
| Publisher | : |
| Total Pages | : 482 |
| Release | : 2000-04-06 |
| Genre | : Mathematics |
| ISBN | : |
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.
| Author | : Adnan Ibrahimbegovic |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 588 |
| Release | : 2009-06-02 |
| Genre | : Computers |
| ISBN | : 9048123305 |
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.
| Author | : J. T. Oden |
| Publisher | : Courier Corporation |
| Total Pages | : 517 |
| Release | : 2013-04-15 |
| Genre | : Technology & Engineering |
| ISBN | : 0486317900 |
Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua
