Three-dimensional axisymmetric responses of exponentially graded transversely isotropic tri-materials under interfacial loading

Zafari, Y.; Shahmohamadi, M.; Khojasteh, A.; Rahimian, M.

doi:10.24200/sci.2017.4080

Three-dimensional axisymmetric responses of exponentially graded transversely isotropic tri-materials under interfacial loading

Document Type : Research Article

Authors

Y. Zafari ¹

M. Shahmohamadi ¹

A. Khojasteh ²

M. Rahimian ¹

¹ School of Civil Engineering, College of Engineering, University of Tehran, Tehran, P.O. Box 11155-4563, Iran

² School of Engineering Science, College of Engineering, University of Tehran, Tehran, P.O. Box 11155-4563, Iran.

10.24200/sci.2017.4080

Abstract

In this paper, an analytical formulation is presented to study an exponentially graded transversely isotropic tri-material under applied axisymmetric point-load and patchload with the aid of Hankel transform and use of a potential function. The given formulation is shown to be reducible to the special cases of (1) an inhomogeneous nite layer on a rigid base; (2) exponentially graded bi-material or half-space under applied buried loads; (3) homogeneous tri-material or bi-material solid. Several numerical solutions are presented
to explain inhomogeneity eect on the stress transfer process in the inhomogeneous threelayered medium by means of a fast and accurate numerical method.

Keywords

Functionally graded material

Exponentially graded

Transversely isotropic

Displacement potential

Tri-material

Axisymmetric green's function

Subjects