Mastering Calculations in Linear and Nonlinear Mechanics
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ISBN-13:
9780387212944
Veröffentl:
2004
Erscheinungsdatum:
16.12.2004
Seiten:
413
Autor:
Pierre Ladevèze
Gewicht:
720 g
Format:
243x162x27 mm
Sprache:
Englisch
Beschreibung:
Mastering Calculations in Linear and Nonlinear Mechanics is concerned with the management of calculations in linear and nonlinear mechanics. In the last twenty years or so this constant preoccupation in industry as well as in research has gone through a revolution with the advent of truly quantitative tools. Particular attention is given to error estimators and indicators for structural analysis, as this domain is the most mature today. The accent is on the concept of error in constitutive relation. An important part of this work is also devoted to the utilization of the error estimators involved in a calculation, beginning with the parameters related to the mesh.
This work deals with the control of the hypotheses leading from a mechanical model, usually coming from continuum mechanics, to a numerical model, i.r. the mastery of the mechanical computation process itself. Particular attention is given to structural analysis which, in this context, is the most advanced domain.
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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