Frétigny Christian, Chateauminois Antoine
Soft Matter Sciences and Engineering Laboratory (SIMM),PSL Research University, UPMC Univ. Paris 06, Sorbonne Universités, ESPCI Paris, CNRS, 10 rue Vauquelin, 75231 Paris cedex 05, France.
Phys Rev E. 2017 Jul;96(1-1):013001. doi: 10.1103/PhysRevE.96.013001. Epub 2017 Jul 7.
We report on a theoretical and experimental investigation of the normal contact of stretched neo-Hookean substrates with rigid spherical probes. Starting from a published formulation of surface Green's function for incremental displacements on a prestretched, neo-Hookean, substrate [J. Mech. Phys. Solids 56, 2957 (2008)JMPSA80022-509610.1016/j.jmps.2008.07.002], a model is derived for both adhesive and nonadhesive contacts. The shape of the elliptical contact area together with the contact load and the contact stiffness are predicted as a function of the in-plane stretch ratios λ_{x} and λ_{y} of the substrate. The validity of this model is assessed by contact experiments carried out using an uniaxally stretched silicone rubber. For stretch ratio below about 1.25, a good agreement is observed between theory and experiments. Above this threshold, some deviations from the theoretical predictions are induced as a result of the departure of the mechanical response of the silicone rubber from the neo-Hokeean description embedded in the model.
我们报告了关于拉伸的新胡克基体与刚性球形探针正常接触的理论和实验研究。从已发表的关于预拉伸新胡克基体上增量位移的表面格林函数公式[《固体力学与物理学杂志》56, 2957 (2008)JMPSA80022 - 509610.1016/j.jmps.2008.07.002]出发，推导了一个用于粘性和非粘性接触的模型。预测了椭圆形接触面积的形状以及接触载荷和接触刚度作为基体平面内拉伸比λₓ和λᵧ的函数。通过使用单轴拉伸硅橡胶进行的接触实验评估了该模型的有效性。对于拉伸比低于约1.25的情况，理论与实验之间观察到良好的一致性。高于此阈值时，由于硅橡胶的力学响应偏离模型中嵌入的新胡克描述，导致与理论预测出现一些偏差。
