Strong Ellipticity Within the Strain Gradient Elasticity: Elastic Bar Case
Eremeyev V. A.
;Reccia E.
2022-01-01
Abstract
In this note we discuss the strong ellipticity condition within the nonlinear strain gradient elasticity. Considering a one-dimensional case, i.e. an elastic bar loaded by a tensile force, we analyze the correspondence of violation of the strong ellipticity condition and compare the results with classic nonlinear elasticity. The correspondence of ellipticity loss to the non-uniqueness of solutions are discussed in more detail.File | Size | Format | |
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Eremeyev-Reccia2022_Chapter_StrongEllipticityWithinTheStra.pdf Solo gestori archivio
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