Recently, Steigmann and Ogden developed a non-linear theory of elastic boundary coatings for elastic bodies which are subject to plane strain deformations. In this paper, we seek to study the behaviour of a suitably coated isotropic, hyperelastic layer which has been subjected to a homogeneous, bi-axial, plane strain deformation. The stability of the layer is investigated by studying incremental deformations about this finitely deformed state. For the case of symmetrically coated layers, explicit bifurcation conditions are obtained and stability inequalities are derived. Particular strain-energy functions are then chosen and the bifurcation conditions are investigated numerically. A numerical study of asymmetrically coated layers is also carried out.
|Number of pages||22|
|Journal||International Journal of Engineering Science|
|Publication status||Published - Jan 1999|