叶嘉成, 张中俭. 2019: 北京大理岩物理力学参数的相关性研究. 工程地质学报, 27(3): 532-538. DOI: 10.13544/j.cnki.jeg.2018-102
    引用本文: 叶嘉成, 张中俭. 2019: 北京大理岩物理力学参数的相关性研究. 工程地质学报, 27(3): 532-538. DOI: 10.13544/j.cnki.jeg.2018-102
    YE Jiacheng, ZHANG Zhongjian. 2019: ESTIMATION OF UNIAXIAL COMPRESSIVE STRENGTH AND MODULUS OF ELASTICITY OF BEIJING MARBLES BASED ON SCHMIDT HARDNESS AND LEEB HARDNESS AND P-WAVE VELOCITY. JOURNAL OF ENGINEERING GEOLOGY, 27(3): 532-538. DOI: 10.13544/j.cnki.jeg.2018-102
    Citation: YE Jiacheng, ZHANG Zhongjian. 2019: ESTIMATION OF UNIAXIAL COMPRESSIVE STRENGTH AND MODULUS OF ELASTICITY OF BEIJING MARBLES BASED ON SCHMIDT HARDNESS AND LEEB HARDNESS AND P-WAVE VELOCITY. JOURNAL OF ENGINEERING GEOLOGY, 27(3): 532-538. DOI: 10.13544/j.cnki.jeg.2018-102

    北京大理岩物理力学参数的相关性研究

    ESTIMATION OF UNIAXIAL COMPRESSIVE STRENGTH AND MODULUS OF ELASTICITY OF BEIJING MARBLES BASED ON SCHMIDT HARDNESS AND LEEB HARDNESS AND P-WAVE VELOCITY

    • 摘要: 北京有大量采用房山大理岩制造的石质文物,这使得北京大理岩力学性质的研究对于科学指导文物保护和修复具有重要意义。但由于文物本体取样困难,难以获得其力学参数。因此本文对北京大理岩的物理、力学参数进行测试,通过建立物理参数和力学参数的回归方程,实现利用物理参数评价力学参数的目的。以北京大理岩中的青白石和汉白玉为研究对象,对8个边长为150 mm立方体试样进行施密特回弹测试,对40个Ф50 mm×100 mm的圆柱体试样进行里氏硬度、纵波波速测试和单轴压缩试验,得到了大理岩的回弹值、里氏硬度值、纵波波速与单轴抗压强度、弹性模量。分别以单轴抗压强度和弹性模量为因变量,选择单个或两个物理参数作为自变量建立回归方程。通过对比相关系数发现:(1)对于单个物理参数,单轴抗压强度与D探头里氏硬度值的相关性最好,而弹性模量与回弹值的相关性最好;(2)对于两个物理参数,单轴抗压强度(或弹性模量)都与回弹值和D探头里氏硬度值的组合相关性最好。

       

      Abstract: There is a plenty of stone relics in Beijing built with Beijing marble(mainly used white marble and green marble). Due to the need of restoration and protection, it is necessary to figure out the physical and mechanical properties of these marbles. In practice, the physical parameters of stone relics can be obtained easily. But it is hard to sample stone relics for mechanical experiment. So in this study, we used Schmidt hardness, Leeb hardness, P-wave velocity, uniaxial compressive strength and modulus of elasticity to obtain the physical and mechanical properties of these marbles. In order to find out the relationship between physical parameters(including Schmidt hardness, Leeb hardness, P-wave velocity) and mechanical parameters(including uniaxial compressive strength and modulus of elasticity), the univariate and binary linear regression analysis was performed among the test results. Depending on the correlation coefficient, the results of regression analysis indicate that the Leeb hardness with D-type probe is more reliable in evaluating the uniaxial compressive strength. The results also reveal that Schmidt hardness is more suitable in predicting the modulus of elasticity. In addition, it will be more reliable to use both of the Leeb hardness with D-type probe and Schmidt hardness to evaluate uniaxial compressive strength or modulus of elasticity.

       

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