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On general principles of the theory of constitutive relations in classical continuum mechanicsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Дата последнего поиска статьи во внешних источниках: 7 декабря 2013 г.
- Автор: Brovko G.L.
- Журнал: Journ. Eng. Mathematics. Kluwer Academic Publishers. Printed in Netherlands
- Том: 78
- Год издания: 2013
- Первая страница: 37
- Последняя страница: 53
- DOI: 10.1007/s10665-011-9508-y
- Аннотация: Abstract The traditional principles of the theory of constitutive relations in classical continuum mechanics are discussed. In light of the approaches by A. A. Ilyushin and by W. Noll, the equivalence and the completeness of their general reduced forms of constitutive relations for simple classical media are noted. First, it is mentioned that a possible presence of internal kinematic constraints is rarely taken into account and needs special modifications in formulating the principles and relations. Secondly, a systematic study of internal body forces in constitutive relations has not been done before. Here a unified approach to the theory of constitutive relations is proposed to describe properties of deformation resistance of a body including both internal kinematic constraints and internal body forces. The general reduced forms of the system of constitutive relations are derived in terms of different definitions of a dynamical process in a body. The case of a simple body is considered in detail in view of the theory of objective tensors, their diagrams and frame-independent relations between objective tensors. The completeness of Ilyushin’s and Noll’s types of relations for the most general constitutive formulations is noted and confirmed by examples. Keywords Classical continuum mechanics · Constitutive relations · New principles Cited 1 time. http://www.scopus.com/inward/record.url?eid=2-s2.0-84871893032&partnerID=40&md5=77f427616102795c541ebd5d5c44821f DOCUMENT TYPE: Article SOURCE: Scopus Scopus EXPORT DATE:17 Feb 2014
- Добавил в систему: Бровко Георгий Леонидович