Anisotropic Elastic Materials and Composites with the Effects of Temperature and Piezoelectricity.
Final rept. 1 Nov 91-31 Jul 95,
ILLINOIS UNIV AT CHICAGO CIRCLE
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The objectives of this project were to extend the Stroh formalism for two-dimensional deformations of anisotropic elastic bodies to include heat flow and piezoelectricity, and to apply the theory to study the effects of temperature and piezoelectricity in composites. This report summarizes the accomplishment of the investigation. Several basic solutions are obtained that are fundamental in analyzing more realistic problems in composites. For instance, the displacement at an interface crack between two materials in a composite is oscillatory when the two materials are mismatched. This leads to the physically unacceptable interpenetration of the crack surfaces. However it is saved from a higher order stress singularity when the effects of heat flow is included. On the other hand, when the two materials are not mismatched, the interpenetration does not occur but a higher order stress singularity may arise due to heat flow.
- Laminates and Composite Materials
- Theoretical Mathematics
- Electricity and Magnetism