A higher-order theory for the analysis of laminated plates and shells with shear and normal deformation

Buckling and wrinkling of anisotropic sandwich plates

“…While early sandwich designs made large use of isotropic and cross-ply facesheets, increasing attention has been dedicated in the years to fully exploit the tailoring potentialities offered by composites, thus enlarging the class of suitable configurations to include those characterized by anisotropic faces. This also demands for improved modeling capabilities, meaning that improved higher-order theories ( Khdeir, Reddy, & Frederick, 1989;Librescu & Reddy, 1989;Piskunov, Verijenko, Adal, & Summers, 1993;Reddy & Liu, 1985 ), axiomatic approaches ( Carrera, 20 02;20 03a;20 03b;Carrera, Pagani, & Valvano, 2017;Demasi, 20 09a;20 09b;2009c ) as well as asymptotic approaches ( Berdichevsky, 1979;Yu, Hodges, & Volovoi, 2002 ) can be a useful framework for coping with the peculiar aspects offered by highly heterogeneous laminates. An interesting assessment between the capabilities offered by axiomatic and asymptotic strategies can be found in Demasi and Yu (2013) .…”

Further results concerning the refined theory of anisotropic laminated composite plates

“…It is hoped that the present developments as well as the ones done in [35][36][37][38][39] will enable one further applications in which their features would be essential for a reliable prediction of the failure and damage response of advanced composite structures and of a number of local phenomena related to their behavior. covariant and contravariant base vectors of the reference plane covariant and contravariant metric tensor components of the reference plane rigidities of the kth layer (of the nth and 0th order, respectively) Green-Lagrange strain tensor components 2-D strain measures obtained as nth term of the expansion of Eq tensors of elastic moduli 2-D nth order gross body couples nth order body couples of the kth layer elastic compliance tensor 3-D covariant and contravariant base vector 3-D covariant and contravariant metric tensor components total plate thickness; thickness of the kth lamina body force vector and its components 2-D nth order gross inertia couples kinetic energy transverse shear correction factor (equation (27c)) 2-D nth order gross stress resultants 2-D nth order stress results of the kth layer nth order mass term of the kth layer unit normal vector to the reference plane 2-D nth order surface load couples first Piola-Kirchhoff stress tensor equation (24e) prescribed stress vector components second Piola-Kirchhoff stress tensor time 3-D temperature field 2-D thermal stress resultants displacement vector and its components in 3-D space displacement components of the kth layer displacement components of the reference plane nth order acceleration quantity (equation (18)) convective surface and normal coordinates Heaviside function values of X 3 at the mid-plane, at the upper and bottom faces of the kth layer, respectively.…”

Buckling of laminated composite hypars and conoids using a higher-order theory

“…A refined shell theory was developed for the analysis of isotropic, orthotropic and anisotropic fibre-reinforced laminated composite and sandwich shells by Mallikarjuna and Kant (1992). Piskunov et al (1993), Wu and Liu (1994), Cho et al (1996) and Shu (1996) were among the others who contributed significantly in developing higher-order theories. Mallikarjuna and Kant (1993) critically reviewed some of the literature on the refined theories of fibrereinforced laminated composites and sandwiches.…”