A REMARK ON HADAMARD MATERIALS
- 1 May 1968
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 21 (2) , 141-146
- https://doi.org/10.1093/qjmam/21.2.141
Abstract
The strain energy Σ for Hadamard materials takes the form Σ = aII + bI + f(III). Here a and b are constants, f an arbitrary function, and I, II, III are the principal invariants of the left Cauchy strain tensor. It is shown that if the Ordered Forces condition and the Strong Ellipticity condition are to be satisfied then a = 0, b > 0,f′(III) ≥ 0 and (III½f′)′ ≥ 0.Keywords
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