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Some end effects in a cylindrically orthotropic circular tube of finite length with radial inhomogeneity subjected to torsional loads

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Abstract

Solutions are offered for a cylindrically orthotropic circular tube of finite length with radial inhomogeneity and subjected to torsional shear loads, and the end effects are emphasized in this study. By explicit expressions of the shear stresses, the actual stress distributions all over the body can be thoroughly examined. The concept of end effect coordinates is introduced to estimate the extent of an end effect when the trends and features are explored. According to the examples, when considering end surfaces subjected to a power-distributed shear load or a tangential ring shear load, the extent of an end effect is strongly dependent on material anisotropy. In general, for a given material anisotropy, variations of the longitudinal shear stress and transverse shear stress reveal different trends along the radial coordinate. The end effect extent of the longitudinal shear stress is larger on the cylindrical surfaces than inside the body, and it is larger on the inner surface than on the outer surface. Furthermore, while no end effects in the transverse shear stress are detected on both the inner and outer cylindrical surfaces, we cannot ignore them inside the tube body.

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Authors and Affiliations

  1. Department of Aeronautical Engineering, National Formosa University, Huwei, 63201, Yunlin County, Taiwan, ROC

    Chung-Hao Wang

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  1. Chung-Hao Wang
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Correspondence to Chung-Hao Wang.

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Wang, CH. Some end effects in a cylindrically orthotropic circular tube of finite length with radial inhomogeneity subjected to torsional loads. Acta Mech 226, 1707–1723 (2015). https://doi.org/10.1007/s00707-014-1283-1

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  • DOI: https://doi.org/10.1007/s00707-014-1283-1

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