dynamic analysis of cylindrically layered structures reinforced by carbon nanotube using mlpg method

this paper deals with the dynamic analysis of stress field in cylindrically layeredstructures reinforced by carbon nanotube (clsrcn) subjected to mechanical shock loading.application of meshless local integral equations based on meshless local petrov-galerkin(mlpg) method is developed for dynamic stress analysis in this article. analysis is carriedout in frequency domain by applying the laplace transformation on governing equations andthen the stresses are transferred to time domain, using talbot inversion laplace techniques.the mechanical properties of the nanocomposite are mathematically simulated using fourtypes of carbon nanotube distributions in radial volume fraction forms. the propagation ofstresses is indicated through radial direction for various grading patterns at different timeinstants. the effects of various grading patterns on stresses are specifically investigated.numerical examples, presented in the accompanying section 4 of this paper, show thatvariation of *cn v has no significant effect on the amplitude of radial stresses. examplesillustrate that stress distributions in cylindrical layer structures made of a cnt type  aremore sensitive rather than other grading pattern types of cnts. results derived in thisanalysis are compared with fem and previous published work and a good agreement isobserved between them.