Wave propagation in a porous functionally graded curved viscoelastic nano-size beam

Thermal Buckling of FG Nanobeams via an Indeterminate Integral Variable with Trigonometric Displacement Models in Conjunction with the Gradient Elasticity Theory

“…Tahir et al [13] presented an efficient theory of shear strain for FGM plates with different types of porosity variation in a viscoelastic foundation based on four-variable integral hyperbolic high order. There are several types of research related to the developments in theories and computational approaches used for analyzing mechanical problems of FGM beams and plates [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Analytical modeling on the vibration response of a beam‐stiffened Mindlin thick plate with free boundary conditions

“…11 Subsequently, Ghayesh 12 developed a size-dependent nonlinear model of a simply supported three-layered microplate based on the modified couple stress theory, Kirchhoff plate theory, and Von Kármán nonlinearities, and analyzed the effects of different layer arrangements and different layer material percentages on the force-amplitude and frequencyamplitude curves of the microsystem. In addition, the latest research results on beam structures include Talebizadehsardari et al, 13 Khaniki et al, 14 and Shahsavari et al 15 Among them, Talebizadehsardari et al 13 studied the static bending response of a functionally graded polymer composite curved beam reinforced with carbon nanotubes subjected to sinusoidal and uniform loads based on Timoshenko beam theory and nonlocal strain gradient theory. Khaniki et al 14 investigated the nonlinear dynamics of imperfect thin beams strengthened with carbon nanotube fibers considering both axial and transverse motions based on a combination of the Galerkin scheme and a dynamic equilibrium technique.…”

“…Khaniki et al 14 investigated the nonlinear dynamics of imperfect thin beams strengthened with carbon nanotube fibers considering both axial and transverse motions based on a combination of the Galerkin scheme and a dynamic equilibrium technique. Shahsavari et al 15 analyzed wave propagation of a viscoelastic system of curved nanobeams made of porous functionally graded materials using a higher‐order shear deformation beam theory. However, little attention was paid to beam‐stiffened plates having a completely free boundary condition due to the additional requirement to satisfy the zero twisting moment at the four plate corners, except for one published recently by the same authors 16 …”