Transient response of a transversely isotropic multilayered half-space due to a vertical loading

Wave Propagation Approach for Elastic Transient Responses of Transversely Isotropic Asphalt Pavement under an Impact Load: A Semianalytical Solution

“…In this paper, and c T is the time span in analysis. The reference (Ai et al 2017) and computational results in the verification section show that these values satisfy the accuracy requirement.…”

“…This phenomenon is more evident when conducting dynamic analysis of the multilayered structure Zhang and Gao 2019). Several scholars (Ai et al 2017;Zhang and Pan 2020) modified the constant coefficients in the general solutions of the layered structure to avoid positive exponential functions and adopted the dual variable and position method to maintain numerical stability during calculation and solve this problem. Special treatments of positive exponential functions can also be found in other matrix methods such as the compound matrix method (Dukin 1965;Schwab and Knopoff 1970), the exact stiffness matrix method (Senjuntichai and Rajapakse 1995;Mesgouez and Lefeuve-Mesgouez 2009), the backward TMM (Yue and Yin 1995), the orthogonalization method (Wang 1999), the spectral element method You et al 2018), and the analytical layer-element method (Yan et al 2016;.…”

Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

“…Recently, Ai et al [13] and Zhang et al [14] studied the deformation of a multilayered transversely isotropic elastic half space subjected to axisymmetric and nonaxisymmetric loading. Ai et al [15] investigated the transient response of a transversely isotropic multilayered elastic half-space due to vertical loading.…”