Interlaminar stress analysis of composite shell structures using a geometrically nonlinear layer-wise shell finite element

Abstract

This work aims to calculate interlaminar stress distribution through the thickness of multilayered composite shell structures by employing a novel nonlinear layer-wise shell finite element formulation. Adapting the Mindlin-Reissner theory in each layer, the shear-deformable layer-wise shell element presents the interlaminar shear stress distributions by increasing the number of layers. The interlaminar normal stress distribution is then determined by the finite difference solution of the general form of equilibrium equation in the non-orthogonal curvilinear grid along the Gaussian points. Two boundary conditions at the bottom and the top surfaces are satisfied by adopting the linear Lagrange interpolation function. The developed formulation is assessed through some illustrative problems solved using a proprietary finite element computer program. The results compare very well with those available in the literature and those obtained by simulations with the commercial finite element software Ansys.

Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation

“…where n ″ are the mean normal vectors of the projection planes after deducting the rigid body translation which can be obtained by substituting x i ″ for x i in equation (2)∼ equation (4).…”

“…Te shell structure is a two-dimensional element structure, which is widely used in engineering structures, including hyperbolic fat shells, spherical shells, cylindrical shells, and surface structures with complex surface structures and boundaries [1][2][3][4][5]. Under the action of external loading, the shell structure has both in-plane tensile deformation and outof-plane bending deformation, which can be regarded as the linear superposition of membrane elements and plate elements.…”

Experimental study of elastic-plastic deformation of a cylindrical shell made of steel 45

“…В то же время, если нагружение остановить раньше, чем будет достигнута предельная нагрузка, состояние системы при отсутствии ползучести будет устойчивым, ибо она при дальнейшем увеличении времени будет пребывать в малой окрестности своего невозмущенного состояния. Учет начальных несовершенств мог бы привести к получению более достоверных расчетных оценок границы области устойчивости, определяющей смену форм состояний [10][11][12][13].…”