Deformation of chiral rods in the strain gradient theory of thermoelasticity

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• 作者：D. Ie?an ^{iesan@uaic.ro}
• 关键词：Gradient thermoelasticity ; Thermal effects in beams ; Chiral materials ; Auxetic materials ; Generalized plane strain
• 刊名：European Journal of Mechanics - A/Solids
• 出版年：2013
• 出版时间：January-February, 2013
• 年：2013
• 卷：37
• 期：Complete
• 页码：351-360
• 全文大小：275 K

文摘

We study the deformation of a chiral cylinder subjected to a prescribed thermal field in the context of the linear theory of gradient thermoelasticity. First, we investigate the effects of a thermal field which is independent of the axial coordinate. It is shown that the temperature variation produces extension, bending, torsion and a plane deformation. Then, we study the deformation of the rod when the thermal field is a polynomial of degree m in the axial coordinate. The solution is reduced to the solving of some two-dimensional problems. The method is used to solve the problem of a circular cylinder subjected to a uniform temperature field. In contrast with the case of achiral materials, a constant thermal field in an isotropic chiral cylinder produces torsional effects.