Abstract Herein, the damage problem of quasi-isotropic composite laminates subjected to a quasi-static transverse load has been studied analytically. The damage was modeled as multiple equal-sized annular delaminations of equal-interval in the thickness direction without any opening during transverse loading. This simplified damage shape was adopted according to the typical damage morphology of impact-tested laminates. Closed-form expressions of the responses, such as a deflection and an energy release rate, were developed in terms of the applied force, dimensions of the plates, and damage under arbitrary boundary conditions based on the Mindlin plate theory. Though their applicability is limited owing to an assumption of linearity, the closed-form expressions provide fundamental information, particularly at the initiation and early growth of the damage, on the effects of the boundary conditions, dimensions, fundamental material properties, and ply thickness of the composite laminates.

中文翻译：

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横向载荷作用下任意边界条件下轴对称层合板多环分层的不稳定性

摘要 本文对准各向同性复合材料层合板在准静态横向载荷作用下的损伤问题进行了分析研究。损伤被建模为在厚度方向上等间隔的多个相等大小的环形分层，在横向载荷期间没有任何开口。根据冲击试验层压板的典型损伤形态，采用了这种简化的损伤形状。基于 Mindlin 板理论，根据施加的力、板的尺寸和任意边界条件下的损伤，开发了响应的封闭形式表达式，例如偏转和能量释放率。尽管由于线性假设，它们的适用性受到限制，但封闭形式的表达式提供了基本信息，