AN APPLICATION OF UNGAR'S DIFFERENTIAL TRANSFORM TO ELASTODYNAMICS

摘要/Abstract

摘要： In recent years, a lot of writers have used Cagniard-de Hoop’s method^[1][2] to solve some problems of elastic wave. But it is a difficult and complicated task to change the path of integration when we use this method. A differential transform by A.Ungar^[3,6] can obviate this difficulty. In this paper, weuse Ungar’s differential transform to solve a case of Lamb’s problem^[1][2].

Abstract: In recent years, a lot of writers have used Cagniard-de Hoop’s method^[1][2] to solve some problems of elastic wave. But it is a difficult and complicated task to change the path of integration when we use this method. A differential transform by A.Ungar^[3,6] can obviate this difficulty. In this paper, weuse Ungar’s differential transform to solve a case of Lamb’s problem^[1][2].

胡德绥. AN APPLICATION OF UNGAR'S DIFFERENTIAL TRANSFORM TO ELASTODYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1989, 10(7): 675-678.

Hu De-sui . AN APPLICATION OF UNGAR'S DIFFERENTIAL TRANSFORM TO ELASTODYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1989, 10(7): 675-678.

[1]	L. I. KUZMINA, Y. V. OSIPOV, A. R. PESTEREV. Deep bed filtration model for cake filtration and erosion[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 355-372.
[2]	Xiaodong GUO, Zhu SU, Lifeng WANG. Dynamic characteristics of multi-span spinning beams with elastic constraints under an axial compressive force[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 295-310.
[3]	A. BAKHTIYARI, M. BAGHANI, S. SOHRABPOUR. An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(1): 73-88.
[4]	Xiang MU, Xiaoyu FU, Liangliang ZHANG, Zhaowei ZHU, Jinming ZHANG, Yang GAO. Fundamental solutions of critical wedge angles for one-dimensional piezoelectric quasicrystal wedge[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(5): 709-728.
[5]	I. WAINI, A. ISHAK, I. POP. Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(1): 127-140.
[6]	Tiehong ZHAO, M. R. KHAN, Yuming CHU, A. ISSAKHOV, R. ALI, S. KHAN. Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(8): 1205-1218.
[7]	T. SIVA, S. JANGILI, B. KUMBHAKAR. Heat transfer analysis of MHD and electroosmotic flow of non-Newtonian fluid in a rotating microfluidic channel: an exact solution[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(7): 1047-1062.
[8]	Yifei QIAN, Bo LU, Yinhua BAO, Yanfei ZHAO, Yicheng SONG, Junqian ZHANG. Prelithiation design for suppressing delamination in lithium-ion battery electrodes[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(12): 1703-1716.
[9]	M. IMRAN, Z. ABBAS, M. NAVEED. Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick's model[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1461-1478.
[10]	S. ABBASBANDY, J. HAJISHAFIEIHA. Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational a-polynomials[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(10): 1449-1460.
[11]	M. I. KHAN, F. ALZAHRANI. Transportation of heat through Cattaneo-Christov heat flux model in non-Newtonian fluid subject to internal resistance of particles[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(8): 1157-1166.
[12]	A. HAFEEZ, M. KHAN, A. AHMED, J. AHMED. Rotational flow of Oldroyd-B nanofluid subject to Cattaneo-Christov double diffusion theory[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(7): 1083-1094.
[13]	M. SHOJAEIFARD, M. BAGHANI. Finite deformation swelling of a temperature-sensitive hydrogel cylinder under combined extension-torsion[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 409-424.
[14]	T. G. FANG, F. J. WANG. Momentum and heat transfer of a special case of the unsteady stagnation-point flow[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(1): 51-82.
[15]	Xu WANG, P. SCHIAVONE. Three-dimensional electric potential induced by a point singularity in a multilayered dielectric medium[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(9): 1327-1334.