论文标题

具有软夹杂物的板的Blake-Zisserman-Kirchhoff理论

A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions

论文作者

Santilli, Mario, Schmidt, Bernd

论文摘要

我们考虑了一种两相弹性薄膜,其柔软夹杂物受到弯曲主导的变形的影响。柔软的(void)相可能包含弹性基质内的渐近小滴。我们执行降低分析,并获得一种新型的“ Blake-Zisserman-Kirchhoff”模型,该模型将Kirchhoff的经典板块理论与Blake-Zisserman类型的表面能量在裂纹,折叠和空隙的边界处贡献。

We consider a two phase elastic thin film with soft inclusions subject to bending dominated deformations. The soft (void) phase may comprise asymptotically small droplets within the elastic matrix. We perform a dimension reduction analysis and obtain a novel `Blake-Zisserman-Kirchhoff' model that combines Kirchhoff's classical plate theory with Blake-Zisserman type surface energy contributions at cracks, folds and the boundary of voids.

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