Boundary element modeling of 3T nonlinear transient magneto-thermoviscoelastic wave propagation problems in anisotropic circular cylindrical shells

2021 ◽  
pp. 114655
Author(s):  
Mohamed Abdelsabour Fahmy
2012 ◽  
Vol 223 (8) ◽  
pp. 1789-1807 ◽  
Author(s):  
S. Papargyri-Beskou ◽  
S. V. Tsinopoulos ◽  
D. E. Beskos

Wave Motion ◽  
1996 ◽  
Vol 23 (4) ◽  
pp. 339-352 ◽  
Author(s):  
Anindya Ghoshal ◽  
Michael L. Accorsi ◽  
Mark S. Bennett

2019 ◽  
Vol 32 (4) ◽  
pp. 1197-1216 ◽  
Author(s):  
Barbara Tomczyk ◽  
Marcin Gołąbczak ◽  
Anna Litawska ◽  
Andrzej Gołąbczak

Abstract The objects of consideration are thin linearly elastic Kirchhoff–Love-type circular cylindrical shells having a periodically micro-heterogeneous structure in circumferential direction (uniperiodic shells). The aim of this contribution is to study certain problems of micro-vibrations and of wave propagation related to micro-fluctuations of displacement field caused by a periodic structure of the shells. These micro-dynamic problems will be analysed in the framework of a certain mathematical averaged model derived by means of the combined modelling procedure. The combined modelling includes both the asymptotic and the tolerance non-asymptotic modelling techniques, which are conjugated with themselves under special conditions. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, governing equations of the combined model have constant coefficients depending also on a cell size. Hence, this model takes into account the effect of a microstructure size on the dynamic behaviour of the shells (the length-scale effect). It will be shown that the micro-periodic heterogeneity of the shells leads to cell-depending micro-vibrations and to exponential waves as well as to dispersion effects, which cannot be analysed in the framework of the asymptotic models commonly used for investigations of vibrations and wave propagation in the periodic structures.


2009 ◽  
Vol 30 (11) ◽  
pp. 1393-1404 ◽  
Author(s):  
Zafar Iqbal ◽  
Muhammad Nawaz Naeem ◽  
Nazra Sultana ◽  
Shahid Hussain Arshad ◽  
Abdul Ghafar Shah

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