New approach to investigate nonlinear dynamic response and vibration of imperfect functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature

Generally cylindrical orthotropic constitutive modeling of matrix-filled carbon nanotubes: Transverse mechanical properties and responses

“…Radial displacement values at the interface (i.e., r ¼ b) and the outer boundary (i.e., r ¼ c) were obtained as w FEA r¼b ¼ À3:7024 e À 12 ðnmÞ and w FEA r¼c ¼ À3:6946 e À 12 ðnmÞ , respectively. Similarly, results for the remaining, axial, circumferential, and radial displacements, strains, and stresses were obtained, and presented in Figures 5(a) to 10(a) and equations (57) to (62) in Appendix 3. Due to the application of radial uniform external pressure, the much stiffer outside CNT underwent tensile axial stresses, and the inside epoxy with less stiffness experienced compressive axial stresses, as expected (see Figure 8(a)).…”

“…Since this composite cylinder is only subjected to radial uniform external pressure, the axial strain, e x , does not vary with the radial coordinate r, (i.e., iso-strain condition) and hence, e x ðiÞ ¼ e x ðoÞ ¼ e ¼ @u=@x ¼ a constant for both inner and outer tubes. Substitution of the strain-displacement relations (equation (3)) into the constitutive equation (equation (2)) and then substitution of the results into the equilibrium equation (equation 1) yields a nonhomogeneous second-order ordinary linear differential equation [25,28,57]. Equations (4) and (5) are the general solutions for radial displacement fields of both domains (see equations (31) to (35) in Appendix 1 for details) (5) Note that in the inner filler region, w ðiÞ r ¼0 ¼ 0 j…”

“…Duc et al [51][52][53][54], Thanh et al [55], and Van Thu and Duc [56] studied the thermo-mechanical stability, static, nonlinear dynamic, and vibration responses of functionally graded CNTs-reinforced nanocomposite plates and shells surrounded by elastic foundations. Another study have investigated the nonlinear dynamic and vibration responses of imperfect CNTs-reinforced nanocomposite shells subjected to blast loading and temperature variations [57].…”

Geometrically nonlinear dynamic analysis of functionally graded material plate excited by a moving load applying first-order shear deformation theory via generalized differential quadrature method

“…Duc et al [29] studied transient behaviour of functionally graded double curved shallow shells based on classical shell theory in thermal environment by using Galerkin method. Based on higher shear deformation theory and by using Galerkin method, Nonlinear dynamic response and vibration of functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature were presented by Duc et al [30]. Duc et al [31] employed FSDT theory and Galerkin method to investigate nonlinear dynamic and vibration analyses of shear deformable eccentrically stiffened S-FGM cylindrical panels resting on elastic foundations.…”

High velocity impact response of carbon nanotubes-reinforced composite sandwich panels

“…Hence, a high magnitude and small duration pressure pulse can be converted to a smaller magnitude, but for longer duration loading [11]. There has been considerable effort to improve the impact resistance of composite laminates and sandwich structures [12][13][14][15][16][17][18][19][20]. The facesheets of sandwich panels are usually made of fiber-reinforced polymers, and the more tougher the facesheets are, the more impact energy will be absorbed by the sandwich panel.…”