Ding Xiang, Chen Na, Zhang Yan, Zhang Fan
School of Civil Engineering Architecture and Environment, Hubei University of Technology, Wuhan 430068, China.
Sino-French Joint Research Center of Rock, Soil Mechanics & Concrete Materials, Hubei University of Technology, Wuhan 430068, China.
Materials (Basel). 2021 Aug 26;14(17):4849. doi: 10.3390/ma14174849.
The deformation of a thick-walled cylinder under pressure is a classic elastic mechanics problem with various engineering applications. In this study, the displacement of a viscoelastic thick-walled cylinder under internal pressure is investigated via analytical as well as numerical modelling. The fractional Maxwell model is initially introduced to describe the creep deformation of high-strength Q460 steel. Subsequently, an analytical solution to the creep deformation of the thick-walled cylinder under both internal and external pressures is deduced with the corresponding principle. The analytical solution is examined with a numerical simulation that incorporates the fractional Maxwell model by a user-defined subroutine. The numerical simulation agrees well with the analytical solution. The limitations of the current study are also discussed.
厚壁圆筒在压力作用下的变形是一个具有各种工程应用的经典弹性力学问题。在本研究中，通过解析建模和数值建模研究了粘弹性厚壁圆筒在内压作用下的位移。首先引入分数阶麦克斯韦模型来描述高强度Q460钢的蠕变变形。随后，利用相应原理推导了厚壁圆筒在内压和外压作用下蠕变变形的解析解。通过用户定义子程序结合分数阶麦克斯韦模型的数值模拟对解析解进行了验证。数值模拟与解析解吻合良好。同时也讨论了本研究的局限性。
