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Axisymmetric indentation of curved elastic membranes by a convex rigid indenter.
International Journal of Non-Linear Mechanics ( IF 3.2 ) Pub Date : 2011-05-11 , DOI: 10.1016/j.ijnonlinmec.2011.04.030
S P Pearce 1 , J R King , M J Holdsworth
Affiliation  

Motivated by applications to seed germination, we consider the transverse deflection that results from the axisymmetric indentation of an elastic membrane by a rigid body. The elastic membrane is fixed around its boundary, with or without an initial pre-stretch, and may be initially curved prior to indentation. General indenter shapes are considered, and the load–indentation curves that result for a range of spheroidal tips are obtained for both flat and curved membranes. Wrinkling may occur when the membrane is initially curved, and a relaxed strain-energy function is used to calculate the deformed profile in this case. Applications to experiments designed to measure the mechanical properties of seed endosperms are discussed.



中文翻译:

通过凸形刚性压头对弯曲弹性膜进行轴对称压痕。

受种子萌发应用的启发,我们考虑了由刚体对弹性膜的轴对称压痕引起的横向偏转。弹性膜围绕其边界固定,有或没有初始预拉伸,并且可以在压痕之前初始弯曲。考虑了一般压头形状,并获得了平面和弯曲膜的一系列球状尖端的载荷 - 压痕曲线。当膜最初弯曲时可能会发生起皱,在这种情况下,使用松弛应变能量函数来计算变形轮廓。讨论了旨在测量种子胚乳机械性能的实验的应用。

更新日期:2011-05-11
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