1. Mode-mixity-dependent adhesion of power-law graded elastic solids under normal load and substrate stretch-induced mismatch strain
- Author
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Jin, Fan and Guo, Xu
- Subjects
- *
POWER law (Mathematics) , *ELASTIC solids , *MECHANICAL loads , *SUBSTRATES (Materials science) , *FUNCTIONALLY gradient materials , *STRAINS & stresses (Mechanics) , *MATHEMATICAL models - Abstract
Abstract: The present paper analytically investigates the adhesive behavior of power-law graded elastic solids under a combined action of external normal loading and a substrate stretch-induced mismatch strain with the effect of mode-mixity taken into account. A plane strain non-slipping model, a plane strain non-coupling model and an axisymmetric non-coupling model have been analyzed, respectively. Our results show that under a finite normal force, the equilibrium of the adhesive system may lost its stability at a critical value of mismatch strain, which significantly depends on both the graded material constants and the degree of mode-mixity. This indicates that the strongest or weakest adhesion strength under substrate stretching can be achieved by designing the physical constants of the adhesive system appropriately. These results provide a theoretical foundation for novel applications of functional graded materials in adhesion systems. [Copyright &y& Elsevier]
- Published
- 2012
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