The text material evolved from over 50 years of combined teaching experience it deals with a formulation and application of the finite element method. A meaningful course can be constructed from a subset of the chapters in this book for a quarter course; instructions for such use are given in the preface. The course material is organized in three chronological units of one month each: 1) the finite element formulation for one-dimensional problems, 2) the finite element formulation for scalar field problems in two dimensions and 3) finite element programming and application to scalar field problems; and finite element formulation for vector field problems in two dimensions and beams. In conjunction with the book there will be the access and use of ABAQUS software and MATLAB exercises.

A First Course in Finite Elements

Computers & Technology

Fish, Jacob

Belytschko, Ted

Programming

wiley

Meshfree methods is a 'hot' topic. Over the last five years, there has been considerable research activity in the field especially in the US and more recently in Europe. This title provides vital information about this developing field including: 
<ul>
<li>An integrated treatment of the fundamental methods such as least square approximations, partition of unity methods and kernel methods</li> <li>An overview of the major methodologies that have been developed for solid and linear mechanics</li> <li>Implementations and solution techniques</li> <li>A thorough examination of the advantages and disadvantages of various methods</li> </ul>

Meshfree and Particle Methods: Fundamentals and Applications

Science & Math

Hillman, Michael

Chen, J. S.

Mathematics

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

Liu, Wing Kam

MORAN, Brian

Nonlinear Finite Elements for Continua

John Wiley&Sons

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: <ul>
<li>Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis</li> <li>Covers many of the material laws used in today's software and research</li> <li>Introduces advanced topics in nonlinear finite element modelling of continua</li> <li>Introduction of multiresolution continuum theory and XFEM</li> <li>Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code</li> </ul>
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 in industry.

Elkhodary, Khalil

Physics

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