2.5D formulation and analysis of a half-space subjected to internal loads moving at sub- and super-critical speeds

Yang, Y.B.; Li, P.L.; Chen, W.; Li, J.; Wu, Yuntian

doi:10.1016/j.soildyn.2020.106550

Cited by 6 publications

(1 citation statement)

References 38 publications

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“…Using semi-analytical method, Bakkera et al [19] further studied the transient waves propagating in an elastic half-space when subjected to a concentrated traveling normal traction on the non-axisymmetric boundary, and they presented the theoretical expression of wave fronts with respect to each load moving at a sonic speed. Recently, Ramezani et al [20][21][22][23][24] conducted fruitful researches on the dynamic response of such structures as cylindrical tube and bi-dimensional functionally graded (FG) micro-beam under moving load.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of the half-space subjected to a moving point load and thermal stress

Zhou¹,

Shui²,

Su³

2022

Phys. Scr.

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Dynamic transient response of the half-space subjected to a moving point load and thermal stress is investigated analytically in this study. By employing the Helmholtz decomposition and introducing a moving coordinate system, the corresponding modified partial differential equations of motion for the transient waves in the half-space are firstly obtained. With one-side and two-side Laplace transformation over the new time and space variables, the second-order partial differential equations of motion in the modified system are then simplified as the ordinary differential equations, whose solutions are thereafter obtained when the boundary condition is satisfied. To get the dynamic response in time domain, the analytical solutions in Laplace domain are inverted using the Cagniard-de Hoop method. Some examples are evaluated and discussed in details for the purpose of examining the effect of the moving load and thermal stress on the transient response of the half-space.

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