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A Theoretical Analysis of the Fracture Behavior of a Multi-Layered Thin Film Structure under Residual Tensile Stress
Abstract:
In this work, the fracture behavior of a multi-layered thin film structure under residual tensile stress is investigated theoretically. Using composite material theory and a modified shear-lag model, the analytical solutions for the distribution laws of the tensile stress developed in the first-layer thin film and the shear stress developed along the interface can be obtained. In addition, the crack density of the first-layer thin film can be derived from the residual stress and the mechanical and geometric parameters of the cracked system. This result also yields a measurement of the residual stress from the crack density and the mechanical and geometric parameters of the system. Finally, a numerical example is presented to show how the crack density varies versus the residual stress.
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2179-2182
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May 2011
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© 2011 Trans Tech Publications Ltd. All Rights Reserved
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