2014 # Free vibrations of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories

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“…Nevertheless, it can be recalled that more refined approaches are available in the literature, as highlighted in the paper by Tornabene et al [39]. For instance, the Mori-Tanaka scheme could be used as an alternative to the theory of mixture, as illustrated in [3], where the classic theory of mixtures is compared to the more refined scheme. Nevertheless, the numerical analyses shown in the paper by Tornabene et al [3] proved that similar results can be obtained by using these two micromechanical approaches.…”

confidence: 99%

“…Nevertheless, it can be recalled that more refined approaches are available in the literature, as highlighted in the paper by Tornabene et al [39]. For instance, the Mori-Tanaka scheme could be used as an alternative to the theory of mixture, as illustrated in [3], where the classic theory of mixtures is compared to the more refined scheme. Nevertheless, the numerical analyses shown in the paper by Tornabene et al [3] proved that similar results can be obtained by using these two micromechanical approaches.…”

confidence: 99%

“…For instance, the Mori-Tanaka scheme could be used as an alternative to the theory of mixture, as illustrated in [3], where the classic theory of mixtures is compared to the more refined scheme. Nevertheless, the numerical analyses shown in the paper by Tornabene et al [3] proved that similar results can be obtained by using these two micromechanical approaches. Thus, a proper set of experimental analyses should be performed to understand which is the best methodology for evaluating the mechanical properties of porous FGMs.…”

confidence: 99%

“…FGMs were first concepted in the late 1980s [11,12], and after that have been very comprehensively investigated by several researchers. Although many researchers investigated vibration or buckling analysis of FG beams with rectangular cross-section [13][14][15][16][17][18][19][20], thin-walled box section [21] and open section [22,23], according to the authors' knowledge, there is no work available to study flexural-torsional and lateral buckling of FG open section beams in a unitary manner.…”

confidence: 99%