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Structural Research Series 519PDF


Title:Three-Dimensional Non-Axisymmetric Anisotropic Stress Concentrations
Author(s):Zureick, A.H.; Eubanks, R.A.
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.
Issue Date:1985-05
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-519
Genre:Technical Report
Sponsor:Air Force Office of Scientific Research Grant No. AFOSR 82-0047
Date Available in IDEALS:2009-10-30
Identifier in Online Catalog:876501

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