The determination of deformation parameters of rock material is an essential part of any design in rock mechanics. The goal of this paper is to show, that there is a relationship between static and dynamic modulus of elasticity (E), modulus of rigidity (G) and bulk modulus (K). For this purpose, different data on igneous, sedimentary and metamorphic rocks, all of which are widely used as construction materials, were collected and analyzed from literature. New linear and nonlinear relationships have been proposed and results confirmed a strong correlation between static and dynamic moduli of rock species. According to rock types, for igneous rocks, the best correlation between static and dynamic modulus of elasticity (E) were nonlinear logarithmic and power ones; for sedimentary rocks were linear and for metamorphic rocks were nonlinear logarithmic and power correlation. Moreover, with respect to different published linear correlations between static modulus of elasticity (E_stat) and dynamic modulus of elasticity (E_dyn), an interesting correlation for rock material constants was established. It was found that the static modulus of elasticity depends on the dynamic modulus only with one parameter formula.

中文翻译：

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岩石动静模量关系的研究

岩石材料变形参数的确定是岩石力学中任何设计的重要组成部分。本文的目的是证明静态和动态弹性模量（E），刚度模量（G）和体积模量（K）之间存在关系。为此，从文献中收集并分析了有关火成岩，沉积岩和变质岩的各种数据，这些数据均被广泛用作建筑材料。提出了新的线性和非线性关系，结果证实了岩石种类的静态和动态模量之间有很强的相关性。根据岩石类型，对于火成岩，静态和动态弹性模量（E）是非线性对数和幂的；对于沉积岩是线性的，对于变质岩是非线性的对数和幂相关。此外，针对静态弹性模量（E _stat）和动态弹性模量（E _dyn）之间已公开的不同线性相关性，建立了有趣的岩石材料常数相关性。结果表明，静态弹性模量仅取决于一个参数公式的动态模量。