Abstract
A simple analytical method based on Hill & Hutchinson's formulations is proposed to determine the bifurcation behaviors which correspond to interfacial or surface instabilities of a laminated material. The characteristic equation which determines the bifurcation strain and its mode is derived from the general solutions of the basic equations and the mechanical and geometrical continuity conditions on the interface. The J2-flow and J2-deformation theories are used to formulate the constitutive properties and the power law is adopted to represent the uniaxial tensile stress and strain relation. The bifurcation analyses are performed on the laminated material subjected to the unidirectional tension. The present solution is proved to be reduced to the known solutions as certain special cases and is shown to be good agreement with numerical results obtained by the finite element method. It is concluded that when the skin material is harder than the core one, the possibility of the interfacial instability is predicted.
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