Three-Dimensional Non-Axisymmetric Anisotropic Stress Concentrations

Zureick, A.H.; Eubanks, R.A.

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https://hdl.handle.net/2142/14127 Copy

Description

Title

Three-Dimensional Non-Axisymmetric Anisotropic Stress Concentrations

Author(s)

• Zureick, A.H.
• Eubanks, R.A.

Issue Date

1985-05

Keyword(s)

• Anisotropy
• Stress concentrations

Abstract

Unified explicit analytical solutions for the (non-axisymmetric) first and second boundary value problems of elasticity theory for a spheroidal cavity embedded in a transversely isotropic medium are presented. The analysis is based upon solutions of the homogeneous displacement equations of equilibrium in terms of three quasi-harmonic potential functions, each of which is harmonic in a space different from the physical space. Thus, three spheroidal coordinate systems with different metric scales (one for each potential) are introduced such that the three coordinate systems coincide on the surface of the spheroidal cavity. These potential functions are taken in a unique combination of the associated Legendre functions of the first and second kind. Extensive numerical data are obtained for the stress concentration factors associated with axisymmetric and non-axisymmetric problems for a variety of materials. The effect of anisotropy on the stress concentration factor is discussed in much greater detail than has been previously available in the literature.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-519

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14127

Sponsor(s)/Grant Number(s)

Air Force Office of Scientific Research Grant No. AFOSR 82-0047

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