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Comparison of contact problem exact solutions for transversely isotropic half-space

https://doi.org/10.12737/10371

Abstract

Exact solutions to two contact problems with unknown contact domains on the elliptic punch penetration in the transversely isotropic elastic half-space are compared. In the first one - a “traditional problem” - the half-space boundary is parallel to the isotropy planes. There can be an axial symmetry case for a circular punch. In the second - a “nontraditional problem” - the half-space boundary is perpendicular to the isotropy planes. Here, the axial symmetry is impossible in principle: even for a circular punch, the contact domain will be elliptical. The contact domains and the forces required for the penetration of the punch at a given value are compared for both problems. The transversely isotropic body model is applicable for describing lots of materials which elastic parameters have been measured in recent decades: composites, ceramics, carbon fiber, graphite-epoxy, glass-epoxy, wood, aged concretes, some metals (titanium, cobalt, zinc), some semiconductors and rocks. They are widely used in the engineering and industry.

About the Authors

Dmitry Alexandrovich Pozharskiy
Don State Technical University, Rostov-on-Don, Russian Federation
Russian Federation


David Borisovich Davtyan
Don State Technical University, Rostov-on-Don, Russian Federation
Russian Federation


References

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Review

For citations:


Pozharskiy D.A., Davtyan D.B. Comparison of contact problem exact solutions for transversely isotropic half-space. Vestnik of Don State Technical University. 2015;15(1):23-28. (In Russ.) https://doi.org/10.12737/10371

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