复合材料层合板位移分段折线假设的研究

 <正> 1.前言 复合材料层板现有位移假设很多,但有实用价值的却少。在常用的位移假设中,薄板理论仅限于薄板;Mindlin板理论虽然在一定程度上反映了层板的剪切效应,但因其不能准确地模拟断面翘曲而仅限于薄板和中厚板,分层折线假设虽然能较准确地模拟断面翘曲和反映剪切效应,但当层数较多时位移自由度变得很庞大而限制了其应用。本文提出了介于Mindlin板理论和分层折线假设之间的假设——分段折线假设,即把层板分为若干段（段数远小于层数）,每段含若干层。大量算例表明,分段折线假设具有较高的精度且自由度较少,尤其在层数较多时其优越性愈显著,具有较高的实用价值。文中提供了层板分段依据。

THE DISPLACEMENT HYPOTHESIS OF STRAIGHT LINE INSECTiON FOR ANALYSIS OF COMPOSITE LAMINATED PLATES

In the paper, the displacement hypothesis of sectionalized broken line is put forward for analysis of composite laminated plates. It is a modification of Mindlin's theory and the hypothesis of layered broken line. The hypothesis is precise, economic and practical. The paper also provides the basis of dividing laminate into sections.