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CMy Documentsmehmet5.14 - Stress Concentrations FEM is not...

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1 Stress Concentrations FEM is not very good at calculating peak stresses at stress raisers (holes, fillets, …) Ways to get around this: Use a highly refined mesh around the stress raiser: may be time- consuming . Don’t model the stress raiser if tabulated stress concentration factors (SCF) are available for the geometry. Compute the nominal stresses where there should be the stress raiser and multiply these by the SCF. Solve a secondary (similar) problem if SCFs are not available, provided that such a problem similar to the actual case can be found. Use submodeling .
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2 Secondary Problem Approach The discontinuity is modeled by a coarse mesh and the stress at E is computed (a). This stress must be scaled by a factor to compensate for mesh coarseness. This factor is approximately the ratio of the exact stress to computed stress in the secondary problem.
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3 Example • In the actual structure with the coarse model : σ x =221 MPa at E • In the secondary problem below: SCF=K=2.13 from “Mechanics of Materials”, Beer & Johnston
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