期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 58, 期 -, 页码 97-104出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2013.11.003
关键词
Generalized continua; Cosserat continua; Plate theories; Beam theories
类别
In a recently proposed approach, a generalized continuum is defined by the specification of the form of the external power, plus some regularity assumptions on the system of the contact actions. Under these assumptions the power can be expressed as a volume integral, the internal power. The conditions of indifference to rigid virtual velocities lead to a reduced form of the internal power, which determines the internal forces and generalized deformations to be related by constitutive equations and to be specified in the boundary conditions. Further restrictions, imposed by kinematic constraints, determine special subclasses of continua. In this context, the equations of some classical plate and beam theories are deduced from those of the three-dimensional Cosserat continuum in a quite simple and natural way. (C) 2013 Elsevier Ltd. All rights reserved.
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