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Numerical Analysis of the Efficiency of Using Theories of Thin and Thick Composite Shells in Stress Concentration Problems

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Abstract

The feasibility of overcoming “cutoff” effects in four versions of the theory employing classical and mixed functionals is analyzed for sample problems involving the stress concentration near a hole in composite spherical shells with different thicknesses and transverse shear rigidities. Recommendations on the choice of theory are given depending on the shell parameters. A class of “not very thick” shells with a low shear rigidity is found for which all the versions of the theory yield an acceptable computational accuracy.

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REFERENCES

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Maksimyuk, V.A., Chernyshenko, I.S. Numerical Analysis of the Efficiency of Using Theories of Thin and Thick Composite Shells in Stress Concentration Problems. Journal of Mathematical Sciences 103, 320–324 (2001). https://doi.org/10.1023/A:1011354010197

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  • DOI: https://doi.org/10.1023/A:1011354010197

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