Abstract

Abstract The problem of failure caused by internal instability is considered within the scope of the exact statement formulated for cases of compressible and incompressible, elastic and elastic-plastic, orthotropic and isotropic layers in compression along interfacial defects. This exact statement is based on the model of a piecewise homogeneous medium and equations of the three-dimensional linearized theory of deformable bodies stability (TLTDBS). To estimate critical loads, upper and lower bounds are suggested for laminated composites with defects by utilizing results for rigid-connected and sliding layers. Numerical investigations for composites with an elastic-plastic matrix have shown that the suggested bounds present reasonably, fair results for particular cases of composites.

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