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首页> 外文期刊>Composite Structures >Accurate inter-laminar recovery for plates and doubly-curved shells with variable radii of curvature using layer-wise theories
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Accurate inter-laminar recovery for plates and doubly-curved shells with variable radii of curvature using layer-wise theories

机译：使用分层理论对曲率半径可变的板和双曲壳进行精确的层间恢复

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The present work illustrates a general formulation for higher-order layer-wise (LW) theories. It aims to analyze doubly-curved laminated shells and panels when soft-core properties are selected. The present approach has its own roots in the Carrera Unified Formulation (CUF) for which the stretching effect of each layer is not neglected. CUF allows to take the kinematic expansion order as a free parameter for the representation of any higher order formulation. This paper shows the explicit fundamental operators for the LW approach when static analysis is investigated. The mathematical problem is solved using a strong formulation approach, termed Generalized Differential Quadrature (GDQ) method. Moreover, the so-called Generalized Integral Quadrature (GIQ) method is used for evaluating the through-the-thickness quantities of the theory such as the stiffness constants, computed layer by layer. Numerical applications are related to the recovery of the inter-laminar stresses and strains that have been compared to reference solutions obtained by a commercial three-dimensional (3D) FEM code. (C) 2015 Elsevier Ltd. All rights reserved.
机译：本工作说明了高阶分层（LW）理论的一般表述。它的目的是在选择软核特性时分析双弯曲的层压壳和面板。本方法在其Carrera统一配方（CUF）中有其自己的根源，对于它，每一层的拉伸效果都不会被忽略。 CUF允许将运动学扩展阶数作为自由参数来表示任何更高阶的公式。当研究静态分析时，本文显示了LW方法的显式基本算符。使用强公式化方法（称为广义差分正交（GDQ）方法）可以解决数学问题。此外，所谓的广义积分正交（GIQ）方法用于评估理论的整个厚度量，例如逐层计算的刚度常数。数值应用与层间应力和应变的恢复有关，层间应力和应变已与通过商业三维（3D）FEM代码获得的参考溶液进行了比较。 （C）2015 Elsevier Ltd.保留所有权利。

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