The mechanical characterization of rocks is important in engineering design and analysis of rock-related structures. In the current researches, rocks are classified as heterogeneous materials with anisotropic behavior, and advanced methods such as combined experimental-numerical approach are developed to characterize the behavior of rocks. In this study, the nanoindentation experiment in conjunction with the generalized means method is used to determine the Young’s modulus and hardness of eight different polycrystalline granite rocks. In the first step, the Young’s modulus and hardness of granites’ constituents are determined through nanoindentation tests on pure granite minerals. Then, the properties of granites are determined using generalized means method by considering the mechanical properties of minerals, their volume fractions and an empirical constant called the microstructural coefficient. Accurate results with less than 3% error are obtained for 62.5% of the granite samples. The generalized means is introduced as a simple and effective method to characterize the mechanical properties of heterogeneous polycrystalline rocks.

岩石的力学表征在岩石相关结构的工程设计和分析中很重要。在目前的研究中，岩石被归类为具有各向异性行为的非均质材料，并且开发了诸如组合实验-数值方法之类的先进方法来表征岩石的行为。在这项研究中，纳米压痕实验结合广义均值方法用于确定八种不同的多晶花岗岩岩石的杨氏模量和硬度。第一步，通过对纯花岗岩矿物进行纳米压痕测试，确定花岗岩成分的杨氏模量和硬度。然后，通过考虑矿物的机械性能，采用广义均值法确定花岗岩的性能，它们的体积分数和一个称为微结构系数的经验常数。对于62.5％的花岗岩样品，获得的误差小于3％的准确结果。引入广义手段作为表征异质多晶岩石力学性能的一种简单有效的方法。