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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|
|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.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.
|Date Available in IDEALS:||2014-12-17|
This item appears in the following Collection(s)
Dissertations and Theses - Theoretical and Applied Mechanics (TAM)
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois