Nonlinear Finite Elements for Continua and Structures

by Ted Belytschko, Brian Moran, Ted Belytschko

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 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.

Genres: Engineering

832 pages, Paperback

First published January 1, 2013

Reviews

[Pranjal Singh · Rating 5 out of 5]

I heard about this book (>5k citations) and the author (>105k citations!) several times but got the chance to study cover to cover (only possible because I already met prerequisites - see below) in 3rd year in the course ME 563 Nonlinear Finite Element Analysis during PhD in Engineering Mechanics at Penn State University.

I had read (< 70%) the definitive introductory level book on Finite Element Method by J. N. Reddy during 3rd year of my undergrad in Mechanical Engineering at IIT Delhi. During 4th year, I took an Advanced Solid Mechanics course which covered Continuum Mechanics, Nonlinear elasticity and some Plasticity. So, all that helped in reading this tough but really powerful book on the titled subject.

I would even go to the extent of saying that one's education in finite deformation simulations is incomplete without having read this book. Sure, if you feel confident in a topic, you can say you don't need to read it. But if there is a topic in the book that you don't have solid understanding of, don't worry. This IS what this book is for and you will be surprised how effective and clear its explanations are.