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Mechanical behaviour of transversely isotropic porous neo-Hookean solids

Lookup NU author(s): Dr Zaoyang Guo

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Abstract

In this paper, the mechanical responses of a recently developed hyperelastic model for the neo-Hookean solids with aligned continuous cylindrical pores under finite homogeneous deformation that can capture the anisotropic compressibility as well as the coupling between the volumetric and deviatoric behaviours are examined. To this end, the strain energy function of this hyperelastic compressible transversely isotropic model contains terms for the coupling of volumetric and deviatoric behaviours. It is shown that, the asymptotic response of this anisotropic compressible model under extreme loading situations is considerably different from that of incompressible models. The unstable behaviour of the porous solid under hydrostatic stress/strain loadings is discussed in detail. When a general simple 2D shear deformation is applied to this porous solid in i₁ – i₂ plane, the normal stress in the third axial direction (i₃) is nonzero. The loss of monotonicity of the stress tensor under off-axis simple 2D shear loading is demonstrated as well.

Publication metadata

Author(s): Guo Z, Caner FC

Publication type: Article

Publication status: Published

Journal: International Journal of Applied Mechanics

Year: 2010

Volume: 2

Issue: 1

Pages: 11-39

Print publication date: 01/01/2010

Date deposited: 30/11/2010

ISSN (print): 1758-8251

ISSN (electronic): 1758-826X

Publisher: World Scientific Publishing Co.

URL: http://dx.doi.org/10.1142/S1758825110000494

DOI: 10.1142/S1758825110000494

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