Abstract
The elastic behavior of granite, which is a composite of various minerals, was calculated with consideration of fracture distribution using the homogenization theory. Microscopic and photographic analyses were conducted to measure the random distribution of the minerals and microcracks in Inada granite. A modal analysis was conducted simultaneously with the photographic analysis. The elastic homogenization theory was applied to calculate the elastic modulus of Inada granite using the results of the modal analysis. The elastic modulus that was determined using the homogenization analysis became constant when the size of the model was larger than 254.3 mm2 (1,156 elements). The elastic modulus, which was calculated as 94.1 GPa, was lower than the experimental value by 7.3 GPa. After the distribution of the rockforming elements and the elastic modulus were calculated, the representative elementary volume (REV) of the fine-grained Inada granite was estimated to be 254.3 mm2 (1,156 elements).
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Chae, BG., Seo, YS. Homogenization analysis for estimating the elastic modulus and representative elementary volume of Inada Granite in Japan. Geosci J 15, 387–394 (2011). https://doi.org/10.1007/s12303-011-0035-7
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DOI: https://doi.org/10.1007/s12303-011-0035-7