Basic Mathematical Methods.- Geometrically Non-linear Behaviour.- Stability Problems.- Load Incrementation in a Non-Linear Analysis.- Fundamentals of Material Models.- Theory and Numerics of the Linear Visco-Elasticity.- Theory and Numerics of Creep.- Theory and Numerics of Elasto-Plasticity.- Contact Analysis: Introduction, Kinematics.- Fulfilling the Contact Condition.- Aspects of Modeling Contact.- Contact Detection.- Contact with Shell- and Beam-Elements.
"The goal of the book under review is to show how to implement numerical solutions for nonlinear problems in mechanics, based on finite element methods. ... There are several worked out examples, figures, tables, and even commented Fortran codes. ... This book might be useful for someone with an engineering background willing to skip the mathematical aspects of nonlinear mechanics and who wants to grasp a broader overview of what sort of numerical techniques might be useful in applications." (Alexandre L. Madureira, Mathematical Reviews, March, 2016)