Mastering calculations in linear and nonlinear mechanics

著者

書誌事項

Mastering calculations in linear and nonlinear mechanics

Pierre Ladeveze, Jean-Pierre Pelle ; translated by Theofanis Strouboulis

(Mechanical engineering series)

Springer Science, c2005

タイトル別名

Maîtrise du calcul en mécanique linéaire et non linéaire

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注記

Includes bibliographical references (p. 381-410) and index

内容説明・目次

内容説明

This book deals with the management of calculations in linear and nonlinear mechanics. Particular attention is given to error estimators and indicators for structural analysis. The accent is on the concept of error in constitutive relation. An important part of the work is also devoted to the utilization of the error estimators involved in a calculation, beginning with the parameters related to the mesh. Many of the topics are taken from the most recent research by the authors: local error estimators, extention of the concept of error in constitutive relation to nonlinear evolution problems and dynamic problems, adaptive improvement of calculations in nonlinear mechanics. This work is intended for all those interested in mechanics: students, researchers and engineers concerned with the construction of models as well as their simulation for industrial purposes.

目次

The notion of quality of a finite element solution.- The constitutive relation error method for linear problems.- Other methods for linear problems.- Principles of the comparison of the various estimators in the linear case.- Mesh adaptation for linear problems.- The constitutive relation error method for nonlinear evolution problems.- The constitutive relation error method in dynamics.- Techniques for constructing admissible fields.- Estimation of local errors.

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