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Analytical Modelling of Interference Fit Joints with Power Law Strain-Hardening Behavior

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Interference fit is a simple technique of connecting two parts together. Although attractive from both economic and technical viewpoints, its behavior beyond the elastic range is yet to be predicted analytically using the simple theory of plasticity. A cylinder shrunk into a solid shaft can provide a solid and reliable connection both statically and dynamically if the strength and stiffness are adequately selected to support the high torque and stresses. This article analyses the stresses and strains in a shrink fit composed of a solid shaft and a cylindrical hub operating in the plastic range. Using the Von Mises yield criterion and assuming the hub to have a power law strain-hardening behavior, the distributions of stresses and strain as functions of the interference are given. The developed analytical model shows that the contact pressure depends on the interference and the plasticity curve of the material, including the strain hardening exponent. To validate the analytical model, the results are compared with those obtained by finite element modelling.
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Nonlinear Strain-Hardening; Plastic Behavior; Shrink Fit; Solid Shaft; Strain; Stress

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