Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-04-30 , DOI: 10.1007/s00419-021-01958-6 Tuan Nguyen-Sy , Minh-Ngoc Vu , Trung-Kien Nguyen , Anh-Dung Tran-Le , Minh-Quan Thai , Thoi-Trung Nguyen
This paper aims to develop semi-analytical results of the poromechanical fields in a hollow cylinder subjected to an asymmetric loading condition. The poroelastic properties of the hollow cylinder vary in the radial direction. The heterogeneous hollow cylinder is approximated by a multilayer structure in which each cylindrical layer is assumed to be homogeneous. The analytical results of the poromechanical field are first established in the transformed Laplace space, and then the ones in time space are obtained by the inverse Laplace transformation. They are perfectly in coherence with existent results in the literature that were developed for the homogeneous and the heterogeneous cases at the steady state regime. Sensitivity analysis shows a significant effect of the radial variations of the poroelastic properties on the response of the hollow cylinder.
中文翻译:
功能梯度空心圆柱在非对称载荷条件下的孔隙弹性响应
本文旨在研究空心圆柱体在非对称载荷条件下的微机械场的半解析结果。中空圆柱体的多孔弹性在径向方向上变化。异质空心圆柱体由多层结构近似,其中每个圆柱层均假定为均质的。首先在变换的拉普拉斯空间中建立了汽镜场的解析结果,然后通过逆拉普拉斯变换获得了时空中的解析结果。它们与针对稳态状态下的同质和异质案例开发的文献中的现有结果完全一致。