Análise estática de placas e cascas de revolução compostas por laminados sujeitas a carregamentos axissimétricos.

Abstract

With significant development of the aeronautical, naval and automotive industry from 1960, there was a need to reduce weight, along with the improvement of properties such as mechanical resistance, vibration control, increased resistance to chemical agents, etc. It is in this context that the materials composed of modern laminates appear, used as a first attempt to design new materials from the combination on a macroscopic scale of two or more simple materials. Along with the development of high performance materials obtained by stacking laminated compounds, it became necessary to develop new theories capable of adequately modeling the shear stresses responsible for interlaminar couplings. In this sense, the new theories applied to macro mechanical models, such as the First Shear Deformation Theory (FSDT) and the TSDT (Third Shear Deformation Theory) cubic kinetic theories, are the most appropriate to prescribe severe anisotropic behavior and delamination failures The classical lamination theory (TCL) initially developed to address this type of problem. The use of these so-called high-order theories dates back to the 1980s and there are numerous published works on problems of rectangular plates and shells without kinematic restrictions on displacement. From the above, this work presents studies of static problems of circular plates and orthotropic shells obtained by material composed of laminates. Numerical models are obtained using the Finite Element Method (MEF) with high-order lagrangean elements of type ( 0 C ) along with the first-order kinematic theories FSDT (Reissner-Mindlin) and TSDT cubic kinematics theories proposed by Reddy (1984) and Kant et al. (1982). The studies presented in this work bring the performance of the aforementioned theories in the approach of problems such as: shear locking and membrane; Boundary layer phenomena and the ability to approximate solutions in displacement of three-dimensional numerical models. Within this context, a motivating problem consisting of a cylindrical reservoir subjected to high pressures will be used for one of the analyzes. The presented results agree with the benchmarking examples brought in the development of the work, representing its characteristics