含软夹杂板的Blake-Zisserman-Kirchhoff理论
A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions
摘要:
本文研究了含软夹杂的两相弹性薄膜在弯曲变形下的力学行为。软(空)相可包括弹性基质内的渐近小液滴。我们进行了降维分析,并获得了一个新的'布莱克-Zisserman-Kirchhoff'模型,结合基尔霍夫的经典板理论与布莱克-Zisserman型表面能贡献的裂缝,褶皱和边界的空隙。
英文摘要:
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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