We study the frictionless contact of an elastic half space with a rigid base textured by quasielliptic grooves in the presence of an incompressible liquid that does not wet the surfaces of bodies in the interface gaps. Under the action of surface tension, the liquid forms bridges in the middle parts of the gaps. At the same time, the edges of the gaps are filled with a gas whose pressure is constant. The pressure drops in the liquid and in gas are described by the Laplace formula. The formulated contact problem is reduced to a singular integral equation for the derivative of the height of interface gaps and to a transcendental equation for the width of liquid bridges. The dependences of the width of liquid bridges, contact pressure, shape of the gaps, contact distances, and contact compliance of the half space on the applied load and surface tension in the liquid are analyzed.

中文翻译：

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弹性体与包含部分填充有非润湿液体的凹槽的刚性基底的接触

我们研究了在存在不润湿界面间隙中物体表面的不可压缩液体的情况下，弹性半空间与由准椭圆形凹槽纹理化的刚性基底的无摩擦接触。在表面张力的作用下，液体在间隙的中间部分形成桥。同时，间隙的边缘充满压力恒定的气体。液体和气体中的压降由拉普拉斯公式描述。公式化的接触问题被简化为界面间隙高度导数的奇异积分方程和液桥宽度的超越方程。液桥宽度、接触压力、间隙形状、接触距离、