Nonlinear Computational Solid Mechanics

Features

Introduces both geometric and material nonlinearity.

Provides practical guidance on nonlinear behaviour of structural systems.

Directed to engineers rather than mathematicians.

Suits an advanced graduate seminar course.

Valuable reference for consulting engineers and engineering software developers.

Summary

This book presents the fundamentals of nonlinear mechanics within a modern computational approach　based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems.　This book　serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

Table of Contents

Chapter 1 Introduction. Chapter 2 Kinematics of nonlinear deformation. Chapter 3 Stresses in deformable bodies. Chapter 4 Work and virtual work. Chapter 5 Elastic material properties. Chapter 6 Stress Invariants and material tests. Chapter 7 Elasto-plastic Material Models. Chapter 8 Nonlinear solid finite elements. Chapter 9 Kinematics of large rotations. Chapter 10 Structural elements. Chapter 11 Solution Methods. Chapter 12 Soft computing in computational mechanics.

Author(s) Bio

Jamshid Ghaboussi is Professor Emeritus at University of Illinois at Urbana-Champaign. He has over 45 years of experience in teaching and research in Computational Mechanics, Computational Intelligence and Soft Computing in Engineering Applications.

David Pecknold is a Professor at University of Illinois at Urbana-Champaign. He has more than 40 years teaching, consulting and university and industrial research experience in structural mechanics, dynamics and development of mathematical models and computer simulation techniques.

Dr. Xiping Wu is a Principal Engineer in Civil and Marine Engineering with Shell International Exploration & Production Inc.