The interaction of a periodic system of rigid spherical indenters with a viscoelastic half-space is considered. The linear viscoelastic models (the standard viscoelastic solid model and the Maxwell model) are used to describe the mechanical behavior of the half-space. The case of a constant load applied to each indenter is investigated. Using the localization method and the solution of the corresponding elastic problem, the analytical expressions for the contact pressure under a single indenter, the radius of a single contact spot, and for the additional displacement function are derived. The influence of the contact density and the viscoelastic half-space mechanical properties on the variation of the contact characteristics in time is analyzed.

考虑了刚性球形压头的周期系统与粘弹性半空间的相互作用。线性粘弹性模型（标准粘弹性固体模型和Maxwell模型）用于描述半空间的力学行为。研究了对每个压头施加恒定负载的情况。使用定位方法和相应弹性问题的解决方案，得出了单个压头下的接触压力，单个接触点的半径以及附加位移函数的解析表达式。分析了接触密度和粘弹性半空间力学性能对接触特性随时间变化的影响。