Summary

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:

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.

Choice Review

Belytschko (Northwestern Univ.) is a most knowledgeable authority in nonlinear finite element technology. This work, written with colleagues from Northwestern, represents a comprehensive treatise on this nonlinear technology. Definitions and fundamentals are treated carefully; both Lagrangian and Eulerian formulations are discussed, starting with a one-dimensional system and branching into multidimensional space. Some worked examples are included, but the major thrust is on careful presentation of the theory. The book's development is directed primarily to the solid mechanics area, but when appropriate, fluid mechanics aspects are noted. An extensive presentation is given to constitutive models and solution methods, and important aspects of element performance are also discussed. The somewhat limited number of previous publications in this field includes M.A. Crisfield's Non-Linear Finite Element Analysis of Solids and Structures (1991); J.Tinsley Oden's Finite Elements of Nonlinear Continua (1972); and Michal Kleiber's Incremental Finite Element Modelling in Non-Linear Solid Mechanics (1989). The expanded scope and clarity of this presentation make it a must addition even for libraries holding several of the earlier publications. Many mechanics researchers will secure copies of this book for their private libraries. Good reference list. Very strongly recommended for institutional libraries serving graduate programs in technology. W. C. Schnobrich; University of Illinois at Urbana-Champaign