This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target audience primarily comprises advanced undergraduate and graduate students of mechanical and civil engineering, but the book may also be beneficial for practising engineers in industry.
Author(s): Wilhelm Rust (auth.)
Edition: 1
Publisher: Springer International Publishing
Year: 2015
Language: English
Pages: 363
Tags: Structural Mechanics; Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering
Front Matter....Pages i-xiv
Basic Mathematical Methods....Pages 1-14
Front Matter....Pages 15-15
Geometrically Nonlinear Behaviour....Pages 17-85
Stability Problems....Pages 87-109
Load Incrementation in a Non-linear Analysis....Pages 111-134
Front Matter....Pages 135-135
Fundamentals of Material Models....Pages 137-154
Theory and Numerics of the Linear Visco-elasticity....Pages 155-179
Theory and Numerics of Creep....Pages 181-208
Theory and Numerics of Elasto-plasticity....Pages 209-265
Front Matter....Pages 267-267
Contact Analysis: Introduction, Kinematics....Pages 269-275
Fulfilling the Contact Condition....Pages 277-300
Aspects of Modelling Contact....Pages 301-319
Contact Detection....Pages 321-353
Contact with Shell- and Beam-Elements....Pages 355-357
Back Matter....Pages 359-363
