Abstract The compressive behaviour of cross-ply laminates with delaminations and matrix cracked layers is investigated by means of an analytical modelling approach. Insight into the post-buckling and damage growth behaviour is obtained owing to comprehensive parametric studies varying delamination length and depth as well as matrix crack density for cross-ply laminates with different layups. The efficient modelling approach comprises the well-known total potential energy principle and the Equivalent Constrained Model for determining reduced stiffness properties depending on the matrix crack density. Thus, unlike previous studies on delamination buckling, the effect of matrix cracked layers is taken into consideration. The analysis of the energy release rates for delamination and matrix crack growth enables the identification of configurations (e.g. delamination depth and length, total thickness of the laminates) which are prone to delamination growth and matrix crack growth, respectively. Beyond that, relationships between post-buckling and damage growth behaviour are identified and discussed.

中文翻译：

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交叉层板分层屈曲与损伤增长的相互作用

摘要 通过分析建模方法研究了具有分层和基体裂纹层的交叉层层压板的压缩行为。由于具有不同叠层的跨层层压板的不同分层长度和深度以及基体裂纹密度的综合参数研究，可以获得对屈曲和损伤增长行为的深入了解。有效的建模方法包括众所周知的总势能原理和等效约束模型，用于根据基体裂纹密度确定降低的刚度特性。因此，与先前关于分层屈曲的研究不同，考虑了基体裂纹层的影响。对分层和基体裂纹扩展的能量释放率的分析能够识别配置（例如 分层深度和长度，层压板的总厚度），它们分别易于分层增长和基体裂纹增长。除此之外，还确定并讨论了后屈曲和损伤增长行为之间的关系。