A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
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Isotropic models of strain gradient elasticity with 4 to 1 h.o. coefficients.

Relation between dual gradient directions as a simplification criterion.

Boundary-value problem for 4 h.o. coefficient solids and beam models.

Aifantis and Koiter-Sokolowski models recovered as particular cases.

Volumetric strain gradient is of two types, i.e. extensional and rotational.

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