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Title:Calculation of Notch Strains Under Multiaxial Nominal Loading
Author(s):Barkey, Mark Edward
Doctoral Committee Chair(s):Socie, Darrell F.
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Applied Mechanics
Engineering, Mechanical
Abstract:An approximate analytical method is developed to calculate strains at stress concentrators in structures of elastic-plastic, isotropic material subjected to proportional and nonproportional multiaxial nominal loading. The method uses anisotropic plasticity theory to define a structural yield surface in nominal stress space that incorporates both the isotopic material properties and the anisotropic geometry factors of the notch, and accounts for varying degrees of constrained plastic flow at the stress concentrator. Plastic strain increments at the stress concentrator and anisotropic work-hardening effects are then related to this yield surface using standard methods of plasticity.
The method is applied to mildly and sharply notched shafts, and a plate with a central through hole subjected to proportional and nonproportional nominal loading. The results of these calculations are compared with experimental results of a mildly notched shaft subjected to combined tensile and torsional load, and with extensive finite element analyses of all of the structures.
The strain calculations agree well with both qualitatively and quantitatively with the experiments and finite element calculations when using an appropriate uniaxial load-notch plastic strain relationship, and are suitable for strain-life fatigue calculations.
Issue Date:1993
Description:214 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.
Other Identifier(s):(UMI)AAI9411562
Date Available in IDEALS:2014-12-17
Date Deposited:1993

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