A Stokes theorem for second order tensor fields and its implications in continuum mechanics
by
R.L. Fosdick and G. Royer
in
Int. J. Nonlinear Mech., 40, 381-386, 2005.
Category: Journal Article
Keywords: Stokes theorem; Compatibility; Cesàro representation; Beltrami representation
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Abstract:
We give a constructive proof of a particular Stokes theorem (1.4) for tensor fields in R3⊗R3.Its specialization to symmetric tensor fields, given in (1.5), bears a close relation to compatibility in linear elasticity theory and to the generalized Beltrami representation of symmetric tensor fields in continuum mechanics.These issues are discussed.
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