On Hashin’s hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity. (English) Zbl 1486.74117
In 1960’s–80’s Hashin introduced and studied nonlinear isotropic hollow cylinder and sphere assemblages. In this paper, the authors generalise Hashin’s work to nonlinear anisotropic solids; more precisely, to nonlinear transversely isotropic solids with a radial material preferred direction, for which a notion of similar shells can be properly defined. The effective constitutive equations are deduced and carefully analysed for sphere and cylinder assemblages in various settings.
Reviewer: Siran Li (Shanghai)
MSC:
| 74Q20 | Bounds on effective properties in solid mechanics |
| 74B20 | Nonlinear elasticity |
| 74E10 | Anisotropy in solid mechanics |
| 74E30 | Composite and mixture properties |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
Keywords:
effective constitutive equation; neutral inclusion; nonlinear composite assemblage; porous materialReferences:
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