The local near-surface buckling of a material system consisting of a half-space, which is covered by the single layer and half-space materials is elastic within the framework of a three-dimensional linearized theory of stability (TLTS). The equations of TLTS are obtained from the three-dimensional geometrically nonlinear equations of the theory of viscoelasticity by using the boundary form perturbations technique. By employing the Laplace and Fourier transform, a method for solving the problem is developed. Numerical results on the critical compressive forces and the critical times are presented.
Key words: Buckling instability, curved-layer, critical time, local near-surface buckling, stability, viscoelastic layer.
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