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2019
DOI: 10.1007/s40430-019-1996-0
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On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Abstract: Elastic bulk wave characteristics of doubly curved nanoshell made of functionally graded (FG) anisotropic material are studied. The effective properties of FG anisotropic material vary along the thickness direction. A higher-order shear deformation shell theory and the Bi-Helmholtz nonlocal strain gradient theory are, respectively, utilized to model the nanoshell as a continuum model and predicting the size-dependent behavior. The Hamiltonian principle is adopted to obtain the governing equations of wave motio… Show more

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Cited by 48 publications
(6 citation statements)
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“…According to the research literature of relevant shell structures [31][32][33][34][35], assuming that the expansion cone is expanded uniformly and is considered as a quasi-static process, the force on the expandable cone is shown in Figure 3. e geometric parameters in Figure 3 include the initial inner diameter r 0 , the initial wall thickness t 0 , the inner diameter after expansion r 1 , and the wall thickness after expansion t 1 .…”
Section: Mechanical Equilibrium Equations Of the Expandable Processmentioning
confidence: 99%
“…According to the research literature of relevant shell structures [31][32][33][34][35], assuming that the expansion cone is expanded uniformly and is considered as a quasi-static process, the force on the expandable cone is shown in Figure 3. e geometric parameters in Figure 3 include the initial inner diameter r 0 , the initial wall thickness t 0 , the inner diameter after expansion r 1 , and the wall thickness after expansion t 1 .…”
Section: Mechanical Equilibrium Equations Of the Expandable Processmentioning
confidence: 99%
“…Khordad et al [36] have investigated the effects of the Rashba spin-orbit interaction and applied magnetic field on thermodynamic properties of a quasi-one-dimensional quantum wire at low temperatures. There are also some studies investigating thermal, and magnetic effects on other type of structures [37][38][39][40][41][42][43].…”
Section: Introductionmentioning
confidence: 99%
“…Thus, based on this new model, many studies have been conducted by developing and providing nonlocal beam models for the prediction of mechanical behaviors of homogenous and nonhomogeneous nanobeams. 31–52 Zhang et al. 53 carried out a free vibration study of nonlocal Timoshenko beams made of FGMs by employing symplectic method; the influences of various parameters were presented.…”
Section: Introductionmentioning
confidence: 99%