Refined geometrically nonlinear theories of anisotropic laminated shells

General Equations of Anisotropic Plates and Shells Including Transverse Shear Deformations, Rotary Inertia and Initial Curvature Effects

“…These successive approximations to the shell strain}displacement relations are discussed in the paper by Librescu [115] and Sanders [45]. In the last work, the deformations are restricted by the Kirchho!…”

Large amplitude vibrations of anisotropic cylindrical shells

“…The values of a i , b i , c i and d i can be obtained from system (1) by introducing relation (4). To determine the 10 C i constants, it is necessary to formulate 10 boundary conditions for the finite elements.…”

“…Many works exist in the literature concerning nonlinear models for isotropic [1][2][3] and anisotropic shell analysis [4][5][6][7]. Also, a number of theories for layered 0045 anisotropic shells exist [8], which are developed for thin shells and are based on the Kirchhoff-Love hypothesis.…”

Geometrically-exact, intrinsic theory for dynamics of moving composite plates

“…For example, Prof. Librescu and co-workers have conducted a series of theoretical developments in the area of geometrically nonlinear analysis of anisotropic laminated plates/shells starting with Librescu (1987). The theory of Librescu and Schmidt (1988) presents an integrated geometrically nonlinear theory for the response of anisotropic laminated shells and is valid for small strains and moderate rotation.…”