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LINEAR ELASTICITY AND POTENTIAL THEORY: A COMMENT ON GURTIN (1972)

FALK H. KOENEMANN

Im Johannistal 19, D-52064 Aachen, Germany

https://doi.org/10.1142/S0217979208049224Cited by:1 (Source: Crossref)

Abstract

In an exhaustive presentation of the linear theory of elasticity by Gurtin [The Linear Theory of Elasticity (Springer-Verlag, 1972)], the author included a chapter on the relation of the theory of elasticity to the theory of potentials. Potential theory distinguishes two fundamental physical categories: divergence-free and divergence-involving problems. From the criteria given in the source quoted by the author, it is evident that elastic deformation of solids falls into the latter category. It is documented in this short note that the author presented volume-constant elastic deformation as a divergence-free physical process, systematically ignoring all the information that was available to him that this is not so.

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