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Elastic media with microstructure vols. I and II

Elastic media with microstructure vols. I and II Acta Applicandae Mathematicae 5 (1986) 313 Book Review I. A. Kunin: Elastic Media with Microstructure Vols. I and H (eds. M. Cardona et al.), Springer-Verlag, Berlin, Heidelberg, New York, 1982 and 1983. 1. Introduction The mathematical and physical studies of elastic media have a long tradition in the mathematical and physical sciences. From the title of the two volumes written by the distinguished scientist I. A. Kunin [1, 2], the twofold character of the subject matter, i.e., the apparently continuous and otherwise discrete nature of matter, clearly follows. Accordingly the outstanding problem treated in this work is, under which experimental conditions the continuous and discrete nature of general elastic media show up and how that can be predicted by theory. Because matter consists of a huge number of discrete entities, with say 1022 degrees of freedom per cm 3, it is completely impossible to handle the configuration space of such systems exhaustively using discrete methods. The proposition given in the treatise reviewed is to perform an appropriate transition to a continuous descrip- tion of the system, i.e., providing it with a set of local objects supporting differentiating processes and then to patch these objects together smoothly. This is, in http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Elastic media with microstructure vols. I and II

Holz, A.
Acta Applicandae Mathematicae , Volume 5 (3) – May 3, 2004
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References (9)

Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/BF00047346
Publisher site
See Article on Publisher Site

Abstract

Acta Applicandae Mathematicae 5 (1986) 313 Book Review I. A. Kunin: Elastic Media with Microstructure Vols. I and H (eds. M. Cardona et al.), Springer-Verlag, Berlin, Heidelberg, New York, 1982 and 1983. 1. Introduction The mathematical and physical studies of elastic media have a long tradition in the mathematical and physical sciences. From the title of the two volumes written by the distinguished scientist I. A. Kunin [1, 2], the twofold character of the subject matter, i.e., the apparently continuous and otherwise discrete nature of matter, clearly follows. Accordingly the outstanding problem treated in this work is, under which experimental conditions the continuous and discrete nature of general elastic media show up and how that can be predicted by theory. Because matter consists of a huge number of discrete entities, with say 1022 degrees of freedom per cm 3, it is completely impossible to handle the configuration space of such systems exhaustively using discrete methods. The proposition given in the treatise reviewed is to perform an appropriate transition to a continuous descrip- tion of the system, i.e., providing it with a set of local objects supporting differentiating processes and then to patch these objects together smoothly. This is, in

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Acta Applicandae Mathematicae – Springer Journals

Published: May 3, 2004

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