Springer Mastering Calculations in Linear and Nonlinear Mechanics (Mechanical Engineering Series)

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. 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.