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Mastering Calculations in Linear and Nonlinear Mechanics (Mechanical Engineering Series)
 
 
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Mastering Calculations in Linear and Nonlinear Mechanics (Mechanical Engineering Series) [Hardcover]

Pierre Ladevèze (Author), Jean Pierre Pelle (Author)

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Book Description

December 16, 2004 0387212949 978-0387212944 1

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.


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Editorial Reviews

Review

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)

From the Back Cover

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.

Many of the topics are taken from the most recent research by the authors: local error estimators, extension 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.


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Inside This Book (learn more)
First Sentence:
The process which leads one, starting from a physical problem, to carry out a finite element calculation is generally complex. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
strong extension condition, nodal instant, weak extension condition, constitutive relation error estimator, relation error estimators, global effectivity index, finite element displacement method, elastic behavior case, equilibrium deficiencies, local effectivity indexes, finite element sense, inverse constitutive relation, kinematic constraint equations, optimum mesh, nonlinear evolution problems, dissipation error, finite element type, optimized mesh, admissible fields, mesh error, admissible stress fields, automatic mesh generators, heuristic property, nonlinear mechanics, mesh adaptation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Preliminary Property, Proof Let, Definition One
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