Abstract
Abstract : Biaxial and uniaxial experiments have been conducted on a thin sheet of natural rubber, which can be assumed to be incompressible, isotropic, and perfectly elastic. The strain energy function and constitutive equations have been determined, and the material is classified as a Generalized Rivlin-Mooney type. Biaxial experiments were then conducted on the same sheet with a circular cutout and stress concentration factors were obtained. Results indicate a significant increase in the factor with increased displacements. A modified Particle-In-Cell (P.I.C.) method has been developed and analytical results were obtained for a sheet with a rigid circular inclusion. It is shown that the stress concentration factor for a Rivlin-Mooney material increases with increasing deformations, a result which is in qualitative agreement with solutions obtained by other methods. The use of the Generalized Rivlin-Mooney material, however, leads to a decrease in stress concentration with increasing deformations.
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