Pozorski Zbigniew, Pozorska Jolanta, Kreja Ireneusz, Smakosz Łukasz
Institute of Structural Engineering, Faculty of Civil and Transport Engineering, Poznan University of Technology, ul. Piotrowo 5, 60-965 Poznań, Poland.
Department of Mathematics, Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Armii Krajowej 21, 42-201 Częstochowa, Poland.
Materials (Basel). 2021 Sep 3;14(17):5043. doi: 10.3390/ma14175043.
This paper deals with the local loss of stability (wrinkling) problem of a thin facing of a sandwich panel. Classical solutions to the problem of a facing instability resting on a homogeneous and isotropic substructure (a core) are compared. The relations between strain energy components associated with different forms of core deformations are discussed. Next, a new solution for the orthotropic core is presented in detail, which is consistent with the classic solution for the isotropic core. Selected numerical examples confirm the correctness of the analytical formulas. In the last part, parametric analyses are carried out to illustrate the sensitivity of wrinkling stress to a change in the material parameters of the core. These analyses illustrate the possibility of using the equations derived in the article for the variability of Poisson's ratio from -1 to 1 and for material parameters strongly deviating from isotropy.
本文研究了夹层板薄面板的局部失稳（起皱）问题。比较了基于均匀各向同性子结构（芯材）的面板失稳问题的经典解。讨论了与不同形式芯材变形相关的应变能分量之间的关系。接下来，详细给出了正交各向异性芯材的一种新解，它与各向同性芯材的经典解一致。所选数值示例证实了解析公式的正确性。在最后一部分，进行了参数分析，以说明起皱应力对芯材材料参数变化的敏感性。这些分析表明了本文推导的方程对于泊松比从 -1 到 1 的变化以及对于严重偏离各向同性的材料参数的适用性。
