Generalized Airy stress functions
by
R.L. Fosdick and K. Schuler
in
Meccanica, 38, 571-578, 2003.
Category: Journal Article
Keywords: Elastostatics, Airy, Completeness.
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Abstract:
The classical Airy stress function in planar elastostatics cannot, in general, be a smooth function for multiply connected domains. Moreover, if a non-null body force field is active the classical Airy representation for the stress is not complete. Here, a generalized Airy representation for the stress is presented which preserves smoothness and which is complete. The generalized form identifies the explicit additional pieces that are needed for completeness in multiply connected domains and when a body force field is present.
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