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Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations

Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations

Michael Kleiber

ISBN: 978-0-470-86549-1

May 1997

422 pages

Select type: E-Book

$144.99

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Description

There are various methods for the analysis and design of bodies subject to static and dynamic loadings in structural and solid mechanics. Sensitivity analysis is concerned with the relationship between parameters, describing the structure under consideration and the function describing the response of that structure under loading conditions. This book addresses the finite element computational techniques typical of sensitivity analysis for solid mechanics systems with any nonlinearity. It is an attempt to combine theoretical modelling techniques with effective computer implementation: besides the theory many suitable finite element codes have been developed by the authors and used for computing examples discussed in the text.
Aus dem Inhalt:
Part I -
Preliminaries: Motivation: Sensitivity and Large-scale Systems;
Non-linear Solid Mechanics;
Concepts of Parameter Sensitivity Analysis for Linear System;
Part II -
Sensitivity of Non-linear Systems: Static Problems at Regular States;
Shape Sensitivity;
Static Problems at Critical and Post-critical States;
Dynamic Systems;
Part III -
Extensions of Basic Theory and Applications: Metal Forming by Flow Approach;
Contact/Friction Problems;
Non-linear Transient and Stationary Thermal Systems;
Non-linear Coupled Thermo-mechanical Systems;
Appendices.