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Investigation of suitability of marbles to standards with inequality expressions and statistical approach using some physical and mechanical properties
Journal of Inequalities and Applications ( IF 1.6 ) Pub Date : 2020-04-07 , DOI: 10.1186/s13660-020-02360-6
Ozge Ozer , Fusun Yalcin , Orhan Kemal Tarinc , Mustafa Gurhan Yalcin

Marble, one of the metamorphic rock formation products, forms by undergoing different physical and chemical processes. The marble samples are tested under laboratory conditions to understand these processes. This study aims to find whether the Akcay region marble (Antalya) is compatible with national and international standards using some physical and mechanical properties. For this purpose, samples were subjected to some laboratory tests (real density, apparent density, total porosity, open porosity, breaking load, compressive strength, flexural strength, rupture energy). A number of statistical findings, linear equations, inequalities, and spatial distribution maps were obtained from the physical and mechanical data found at the end of the laboratory tests. The variables which were found to be statistically significantly correlated according to the results of the correlation analysis were analyzed using regression analysis; then their distributions were explained using linear equations. The spatial distribution maps of the variables reveal the part corresponding to the symbol color ranging between the light green and yellow and covering almost 70% of the area is compliant with both TurkStat and ASTM standards and this is proved using the inequalities.

中文翻译:

使用一些物理和机械特性,研究大理石是否适合使用不等式表示的标准和统计方法

大理石是变质岩形成产物之一,它是通过经历不同的物理和化学过程形成的。在实验室条件下对大理石样品进行测试以了解这些过程。这项研究的目的是使用某些物理和机械性能来确定Akcay地区大理石(安塔利亚)是否与国家和国际标准兼容。为此,对样品进行了一些实验室测试(实际密度,表观密度,总孔隙率,开孔孔隙率,断裂载荷,抗压强度,弯曲强度,断裂能)。从实验室测试结束时发现的物理和机械数据获得了许多统计结果,线性方程式,不等式和空间分布图。使用回归分析对根据相关性分析结果发现在统计上相关性显着相关的变量进行分析;然后使用线性方程式解释它们的分布。变量的空间分布图显示了与符号颜色相对应的部分,介于浅绿色和黄色之间,并且覆盖了几乎70%的区域,同时符合TurkStat和ASTM标准,并通过不等式证明了这一点。
更新日期:2020-04-18
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