By R. S. Rivlin (auth.), Professor Dr. rer. nat. Ekkehart Kröner (eds.)
ISBN-10: 3662302578
ISBN-13: 9783662302576
ISBN-10: 3662302594
ISBN-13: 9783662302590
5 The symposium used to be held in Freudenstadt from 28\h to 31 \ ofAugust st nd 1967 and in Stuttgart from 1 to two of September 1967. The suggestion to carry this symposium originated with the German Society of utilized arithmetic and Mechanics (GAMM) overdue in 1964 and was once tested through a committee of IUTAM specially appointed for this goal. the root of this exam was once a file within which the current state of affairs within the box and the potential goals of the symposium have been surveyed. in brief, the goals of the symposium have been said to be 1. the unification of many of the techniques built in recent times with the purpose of penetrating into the microscopic global of subject by way of continuum theories; 2. the bridging of the distance among microscopic (or atomic) study on mechanics on one hand, and the phenomenological (or continuum mechanical) strategy nevertheless; three. the actual interpretation and the relation to genuine fabric behaviour of the amounts and legislation brought into the recent theories, including functions; four. the extra improvement of the theories, the place helpful, and the explanation of open questions; five. a stocktaking of current achievements and the diagnosis for destiny advancements. The committee agreed unanimously that the subject of the symposium represented a major section of present advancements in continuum mechanics, from the in simple terms theoretical perspective in addition to in reference to attainable functions to genuine materials.
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Additional info for Mechanics of Generalized Continua: Proceedings of the IUTAM-Symposium on The Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart (Germany) 1967
Example text
This is the method employed by GREEN and LAWS [2] whose work wc discuss here. A further contribution has been given by COHEN [3) who uses a variational method to produce a theory of elastic rods, but his idea of a rod differs from that of GREEN and LAWS. The theory of GREEN and LAWS [2] is an exact thermodynamical theory which is not restricted to elastic rods. We note that some progress has been made by GREEN , LAWS and NAGHDI [4] in evaluating the relationship between the theory discussed here and the classical three dimensional theory of continuum mechanics.
C. (1966b]: Theory of Micropolar Fluids. J . Math. , 16, 1, 1-18. ERINGEN, A. C. [1966c]: A Unified Theory of Thermomechanical Materials. Int. J. Engng. , 4, 2, 179-202. ERINGEN, A. C. [1967a]: Linear Theory of Micropolar Viscoelasticity. Int. J. Engng. ScL, 0, 2, 191-204. ERINGEN, A. C. [1967b] : Theory of Micropolar Plates. J. App!. Math. & Phys. , 18, 1, 12-30. ERINGEN, A. C. [1967c]: Theory of Micropolar Elasticity. Contribution to Treatise on Fracture edited by H . LIEBOWITZ. To be published by Academic Press.
Abstract. The theory of micromorphic continua, developed by ERINGEN and his co-workers, is recapitulated and extended. Master equations are obtained in the form of integral operators from which all order volume and surface statistical moments are derivable leading to a hierarchy of balance laws. Micropolar and indeterminate couple stress theories are summarized as special cases. The relation to other recent microstructure theories is discussed briefly. 1. , [1964]-[1967j, we presented continuum theories with the hope of explaining certain physical phenomena which are inherently due to the granular and molecular nature of the materials.
Mechanics of Generalized Continua: Proceedings of the IUTAM-Symposium on The Generalized Cosserat Continuum and the Continuum Theory of Dislocations with Applications, Freudenstadt and Stuttgart (Germany) 1967 by R. S. Rivlin (auth.), Professor Dr. rer. nat. Ekkehart Kröner (eds.)
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