On the physical interpretation of Nonstandard methods in mechanics
type: Item
instance of: scholarly article
title: On the physical interpretation of Nonstandard methods in mechanics
zbMATH Open document ID: 0551.73007
author: Krzysztof Nobis
author: Ewaryst Wierzbicki
author: Czesław Woźniak
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1984-01-01T00:00:00Z
review text: The last author published a sequence of articles in the years 1979-81 pointing out applications of nonstandard analysis to continuum mechanics [see e.g. Mech. Teor. Stosow. 19, 511-525 (1981; Zbl 0536.73005)]. Mechanics of materials with point moments, with microscopic sources of stress, are ''naturally'' adaptable to such treatment. In the present note the authors discuss phenomena that require different degrees of accuracy of measurement and observation. This paper may be regarded as a remark that nonstandard relations of different orders of ''fineness'' may offer entirely different macroscopic insights after taking the standard part projection. An example was offered by the second author who discussed the internal constraints in elastic materials, ibid. 32, 389-393 (1984).
Mathematics Subject Classification ID: 74A99
Mathematics Subject Classification ID: 26E35
zbMATH DE Number: 3878423
zbMATH Keywords: orders of magnitude
reviewed by: Vadim Komkov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3878423