Comparison of GIM and SRM calculated slope safety factor based on three-dimensional limit analysis method
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(1.School of Resources Engineering, Xi'an University of Architecture and Technology, Xi’an 710055, China;2.School of Civil Engineering, Xi'an University of Architecture and Technology, Xi’an 710055, China;3.School of Science, Xi'an University of Architecture and Technology, Xi’an 710055, China )

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U213.1+3

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    Abstract:

    Based on the three-dimensional upper limit analysis theory with three-dimensional horn-like rotational failure mechanism, the power balance equation was established considering slope angle of the slope crest. The software MATHEMATICA and exhaustive method with constraint optimization were used to solve the minimum of safety factor. Under different parameter c/γH, internal friction angle φ, slope crest angle αand slope inclination angle β, the slope safety factors calculated by the strength reduction method (SRM) and gravity increase method (GIM) were quantitatively compared and analyzed. The results show that when FS is equal to one, the results calculated by GIM and SRM are close to each other and approximately equal to one. When FS is greater than one, GIM is greater than SRM. When FS is less than one, SRM is greater than GIM method. For stable slopes with FS below 1.2, the errors of GIM and SRM methods are within the acceptable range.

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洪勇,邵珠山,石广斌,等.基于三维极限分析法的GIM和SRM边坡安全系数计算结果对比[J].河海大学学报(自然科学版),2022,50(4):112-120.(HONG Yong, SHAO Zhushan, SHI Guangbin, et al. Comparison of GIM and SRM calculated slope safety factor based on three-dimensional limit analysis method[J]. Journal of Hohai University (Natural Sciences),2022,50(4):112-120.(in Chinese))

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  • Received:August 30,2021
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  • Online: July 25,2022
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