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首页> 外文期刊>International Journal of Solids and Structures >Torsion of cylindrically orthotropic elastic circular bars with radial inhomogeneity: some exact solutions and end effects
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Torsion of cylindrically orthotropic elastic circular bars with radial inhomogeneity: some exact solutions and end effects

机译:具有径向不均匀性的正交各向异性圆柱弹性圆棒的扭转:一些精确的解决方案和最终效果

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摘要

Torsion of elastic circular bars of radially inhomogeneous, cylindrically orthotropic materials is studied with emphasis on the end effects. To examine the conjecture of Saint-Venant's torsion, we consider torsion of circular bars with one end fixed and the other end free on which tractions that results in a pure torque are prescribed arbitrarily over the free end surface. Exact solutions that satisfy the prescribed boundary conditions point by point over the entire boundary surfaces are derived in a unified manner for cylindrically orthotropic bars with or without radial inhomogeneity and for their counterparts of Saint-Venant's torsion. Stress diffusion due to the end effect is examined in the light of the exact solutions. (C) 2007 Elsevier Ltd. All rights reserved.
机译:研究了径向不均匀,圆柱正交异性材料的弹性圆棒的扭转,并着重于端效应。为了检查圣维南扭转的猜想,我们考虑了一端固定且另一端自由的圆杆扭转,在自由端表面上任意规定了产生纯转矩的牵引力。对于具有或不具有径向不均匀性的圆柱正交异性杆及其相应的Saint-Venant扭转,以统一的方式逐点得出在整个边界面上逐点满足指定边界条件的精确解。根据精确的解决方案检查了由于最终效应而产生的应力扩散。 (C)2007 Elsevier Ltd.保留所有权利。

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