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Author: Jean-Luc Curilla
Publisher:
ISBN:
Category :
Languages : fr
Pages : 177
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Book Description
L'EVOLUTION ELASTOPLASTIQUE D'UN SOLIDE, SANS RETRICTION SUR L'AMPLITUDE DE LA CINEMATIQUE, DEPLACEMENTS ET DEFORMATIONS, EST REPRESENTEE PAR UN SYSTEME D'EQUATIONS DIFFERENTIELLES SOUS CONTRAINTES; CELLES-CI SONT L'ADMISSIBILITE PLASTIQUE ET UNE EXPRESSION VARIATIONNELLE DU QUASI-EQUILIBRE. UNE APPROXIMATION DE LA SOLUTION EST OBTENUE EN AFFAIBLISSANT D'UNE PART LES EQUATIONS D'EQUILIBRE PAR LA METHODE DES ELEMENTS FINIS DE TYPE "DEPLACEMENT" ET D'AUTRE PART LA VARIABLE TEMPS PAR UNE INTEGRATION D'EULER IMPLICITE DES EQUATIONS DIFFERENTIELLES. LE SYSTEME D'EQUATIONS NON-LINEAIRES AINSI OBTENU, A CHAQUE PAS DE TEMPS, EST RESOLU PAR UN ALGORITHME DE TYPE "NEWTON-RAPHSON MODIFIE". L'ALGORITHME EST ILLUSTRE PAR DEUX APPLICATIONS ELEMENTAIRES. IL EST CONFRONTE, AVEC SUCCES, A L'EXPERIENCE DANS LE CAS DU POINCONNEMENT PROFOND D'UN LOPIN D'ALUMINIUM ENCHASSE, L'HYPOTHESE DES DEFORMATIONS PLANES EST FAITE. LES FACTEURS D'UN CALCUL A MOINDRE COUT SONT ANALYSES SUR UN EXEMPLE. ON MONTRE ENFIN QUE L'ALGORITHME DE LA "CONTRAINTE INITIALE", ET D'AUTRES QUI S'EN APPARENTENT, COMPORTE DE NOMBREUSES RESTRICTIONS D'EMPLOI ET DE MISE EN OEUVRE. LORSQUE CELLES-CI SONT VERIFIEES, CE QUI N'EST GUERE LE CAS LORSQU'IL Y A DES DEPLACEMENTS IMPOSES NON NULS, IL SE REVELE AUSSI "PRECIS" QUE CELUI PROPOSE, MAIS POUR UN COUT EXORBITANT COMPARE A CELUI DE NOTRE ALGORITHME
Author: Jean-Luc Curilla
Publisher:
ISBN:
Category :
Languages : fr
Pages : 177
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Book Description
L'EVOLUTION ELASTOPLASTIQUE D'UN SOLIDE, SANS RETRICTION SUR L'AMPLITUDE DE LA CINEMATIQUE, DEPLACEMENTS ET DEFORMATIONS, EST REPRESENTEE PAR UN SYSTEME D'EQUATIONS DIFFERENTIELLES SOUS CONTRAINTES; CELLES-CI SONT L'ADMISSIBILITE PLASTIQUE ET UNE EXPRESSION VARIATIONNELLE DU QUASI-EQUILIBRE. UNE APPROXIMATION DE LA SOLUTION EST OBTENUE EN AFFAIBLISSANT D'UNE PART LES EQUATIONS D'EQUILIBRE PAR LA METHODE DES ELEMENTS FINIS DE TYPE "DEPLACEMENT" ET D'AUTRE PART LA VARIABLE TEMPS PAR UNE INTEGRATION D'EULER IMPLICITE DES EQUATIONS DIFFERENTIELLES. LE SYSTEME D'EQUATIONS NON-LINEAIRES AINSI OBTENU, A CHAQUE PAS DE TEMPS, EST RESOLU PAR UN ALGORITHME DE TYPE "NEWTON-RAPHSON MODIFIE". L'ALGORITHME EST ILLUSTRE PAR DEUX APPLICATIONS ELEMENTAIRES. IL EST CONFRONTE, AVEC SUCCES, A L'EXPERIENCE DANS LE CAS DU POINCONNEMENT PROFOND D'UN LOPIN D'ALUMINIUM ENCHASSE, L'HYPOTHESE DES DEFORMATIONS PLANES EST FAITE. LES FACTEURS D'UN CALCUL A MOINDRE COUT SONT ANALYSES SUR UN EXEMPLE. ON MONTRE ENFIN QUE L'ALGORITHME DE LA "CONTRAINTE INITIALE", ET D'AUTRES QUI S'EN APPARENTENT, COMPORTE DE NOMBREUSES RESTRICTIONS D'EMPLOI ET DE MISE EN OEUVRE. LORSQUE CELLES-CI SONT VERIFIEES, CE QUI N'EST GUERE LE CAS LORSQU'IL Y A DES DEPLACEMENTS IMPOSES NON NULS, IL SE REVELE AUSSI "PRECIS" QUE CELUI PROPOSE, MAIS POUR UN COUT EXORBITANT COMPARE A CELUI DE NOTRE ALGORITHME
Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Author: Lothar Collatz
Publisher: Academic Press
ISBN: 1483264009
Category : Mathematics
Languages : en
Pages : 494
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Book Description
Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method in pseudometric spaces; special cases of the fixed-point theorem and change of operator; iterative methods for differential and integral equations; and systems of equations and difference methods. The manuscript takes a look at monotonicity, inequalities, and other topics, including monotone operators, applications of Schauder's theorem, matrices and boundary value problems of monotone kind, discrete Chebyshev approximation and exchange methods, and approximation of functions. The publication is a valuable source of data for mathematicians and researchers interested in functional analysis and numerical mathematics.
Author: John Ll Morris
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 358
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Book Description
Author: Moody Chu
Publisher: Oxford University Press
ISBN: 0198566646
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.
Author: Leonid Hurwicz
Publisher:
ISBN: 9781258450144
Category :
Languages : en
Pages : 242
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Book Description
Additional Contributing Authors Include Thomas Marschak, Robert Solow, Samuel Karlin, And Others.
Author: Malcolm D Bolton
Publisher: Universities Press
ISBN: 9788173714252
Category : Soil mechanics
Languages : en
Pages : 464
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Book Description
Covers all the soil mechanics and foundation engineering topics that are commonly included in civil engineering degree courses, and provides a number of springboards into related advanced topics. Although it is intended principally to satisfy the needs of student civil engineers, this guide should also prove useful to those practicing engineers who are unaware of the powerful and elegant reconstruction of the subject which has been made possible by the recent concepts of plasticity, dilatancy and critical states.
Author: A C Ehresmann
Publisher: Elsevier
ISBN: 0080555411
Category : Psychology
Languages : en
Pages : 403
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Book Description
Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. - Comprehensive and comprehensible coverage of Memory Evolutive System - Written by the developers of the Memory Evolutive Systems - Designed to explore the common language between sciences
Author: Frank Popper
Publisher:
ISBN:
Category : Art
Languages : en
Pages : 482
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Book Description
Frank Popper traces the development of immersive, interactive new media art from its antecedents through today's digital, multimedia, & networked art.
Author: R. Balescu
Publisher: Springer
ISBN: 9783662191644
Category : Science
Languages : en
Pages : 183
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Book Description
