Bacciocchi Michele, Tarantino Angelo Marcello
Dipartimento di Economia, Scienze e Diritto (DESD), University of San Marino, Via Consiglio dei Sessanta, 47891 Dogana, San Marino.
Centro di Ricerca Interdipartimentale Costruzioni e del Territorio (CRICT), Via Vivarelli, 41125 Modena, Italy.
Materials (Basel). 2021 Apr 3;14(7):1771. doi: 10.3390/ma14071771.
The aim of the paper is the development of a third-order theory for laminated composite plates that is able to accurately investigate their bending behavior in terms of displacements and stresses. The starting point is given by the corresponding Reddy's Third-order Shear Deformation Theory (TSDT). This model is then generalized to consider simultaneously the Classical Laminated Plate Theory (CLPT), as well as the First-order Shear Deformation Theory (FSDT). The constitutive laws are modified according to the principles of the nonlocal strain gradient approach. The fundamental equations are solved analytically by means of the Navier methodology taking into account cross-ply and angle-ply lamination schemes. The numerical applications are presented to highlight the nonlocal effects on static behavior.
本文的目的是开发一种适用于层合复合板的三阶理论，该理论能够根据位移和应力准确研究其弯曲行为。出发点是相应的雷迪三阶剪切变形理论（TSDT）。然后对该模型进行推广，以便同时考虑经典层合板理论（CLPT）以及一阶剪切变形理论（FSDT）。本构定律根据非局部应变梯度方法的原理进行修改。通过纳维方法对基本方程进行解析求解，同时考虑正交铺层和斜交铺层层合方案。给出了数值应用，以突出非局部效应在静态行为方面的影响。
