BUILDING UP A BEARING COLUMN OF AGEING VISCOELASTIC MATERIAL UNDER SIMULTANEOUS ACTION OF LOADING

D. Parshin
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Abstract

: A mechanical problem on tracing the stress-strain state evolution of a sufficiently high conical column bearing a variable central axial loading on its upper end and being simultaneously built up by means of additive layer-by-layer piecewise continuous augmenting with new viscoelastic ageing material over the side surface is investigated. The acting axial force magnitude, the radius of the increasing bearing end, and the slope angle of the side surface are arbitrarily changing during the considered augmenting process. The closed-form analytical solution of the corresponding non-classical boundary-value problem is obtained.
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在载荷的同时作用下,采用老化粘弹性材料构建承载柱
本文研究了一个足够高的锥形柱的应力-应变状态演化的力学问题,该锥形柱的上端承受着可变的中心轴向载荷,同时在其侧表面用新的粘弹性老化材料逐层逐段连续增材建造。在考虑的增大过程中,作用轴向力大小、增大轴承端半径和侧面的斜率角是任意变化的。得到了相应的非经典边值问题的闭型解析解。
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