Journal
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
Volume 4, Issue 2, Pages 281-292Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/jomms.2009.4.281
Keywords
foundations of continuum mechanics; virtual power; continua with microstructure; materials with microstructure
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The method of virtual power is generally used to produce balance equations for nontraditional continua such as continua with various types of microstructure. Here I show that the expression of the internal power can be deduced from that of the external power using a general invariance requirement due to Noll and a generalized version of Cauchy's tetrahedron theorem. In other words, the measures of deformation and stress, as well as the balance equations, are determined by the expression chosen for the external power and by the invariance assumptions. A pair of examples taken from the literature shows that both ingredients are essential for defining a specific class of continua.
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