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Mastering Calculations in Linear and Nonlinear Mechanics

  • Book
  • © 2005

Overview

  • 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
  • A significant part of this work is dedicated to the application of error estimators to the control of the various parameters involved in a calculation, beginning with the parameters related to the mesh
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mechanical Engineering Series (MES)

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Table of contents (10 chapters)

Keywords

About this book

Modeling and simulation are central to a mechanical engineer's activity. Increasingly complex models are being used routinely on a daily basis. This revolution is the result of the extraordinary progress in computer technology in terms of both hardware and software.

This work deals with the control of the hypotheses leading from a mechanical model, usually coming from continuum mechanics, to a numerical model, i.e. the mastery of the mechanical computation process itself.  Particular attention is given to structural analysis which, in this context, is the most advanced domain.

A significant part of this work is dedicated to the application of error estimators to the control of the various parameters involved in a calculation, beginning with the parameters related to the mesh.

Reviews

From the reviews of the first edition:

"This English translation of the French original … is concerned with the control of accuracy in computation in linear and nonlinear mechanics. … the calculations and concepts are clear and rigorous. Many original numerical illustrations are included. The book is intended for all those interested in mechanics: students, researchers, applied mathematicians and engineers concerned with the verification of models." (Carsten Carstensen, Mathematical Reviews, 2005k)

"This English translation of the original 2001 French book discusses the evaluation of numerical error within the finite element context. … The book is recommended to students, engineers and researchers contemplating the application of the finite element technique to constructing models and simulations of industrial problems." (J. C. F. Telles, Zentralblatt MATH, Vol. 1077, 2006)

Authors, Editors and Affiliations

  • Department of Mechanical Engineering, The University of Texas at Austin, Austin, USA

    Frederick F. Ling, Ernest F. Gloyna

  • Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, USA

    William Howard Hart

  • Lab. Mecanique et Technologie, Ecole Normale Superieure de Cachan, France, Cachan Cedex, France

    Pierre Ladevèze, Jean-Pierre Pelle

Bibliographic Information

  • Book Title: Mastering Calculations in Linear and Nonlinear Mechanics

  • Authors: Pierre Ladevèze, Jean-Pierre Pelle

  • Editors: Frederick F. Ling, Ernest F. Gloyna, William Howard Hart

  • Series Title: Mechanical Engineering Series

  • DOI: https://doi.org/10.1007/b138705

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag New York 2005

  • Hardcover ISBN: 978-0-387-21294-4Published: 16 December 2004

  • Softcover ISBN: 978-1-4899-9067-9Published: 26 November 2014

  • eBook ISBN: 978-0-387-27165-1Published: 30 March 2006

  • Series ISSN: 0941-5122

  • Series E-ISSN: 2192-063X

  • Edition Number: 1

  • Number of Pages: XI, 413

  • Topics: Mechanical Engineering, Computational Intelligence, Solid Mechanics

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