考虑剪胀特性和峰后形态的岩石损伤本构模型

doi:10.13722/j.cnki.jrme.2021.0107

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Abstract Based on the statistical damage mechanics theory，a three-dimension damage model reflecting the characteristics of dilatancy was established. In the proposed model，load is borne by the undamaged part and the damaged part of rock. The deformation of the undamaged part of rock is elastic，while the deformation of the damaged part includes elastic and plastic deformations under the influence of the residual strength and the dilatancy angle. In order to adapt to the different post-peak shapes of the stress-strain curve，a new damage evolution equation is established by introducing the modified factor R in an exponential form into the Weibull distribution function，and a micro-element strength function is established based on the Mohr-Coulomb criterion. Parameters F0 and m of the model can be obtained from the peak point of triaxial compression test，and parameter k depends on the post-peak shape of the curve and can measure the brittleness of the rock. Applicability verification indicates that the theoretical calculation results of the statistical damage constitutive model are in good agreement with the conventional triaxial compression test results of pebbled coarse sandstone，siltstone and Ohya stone. Therefore，the model can accurately describe the strain softening，dilatancy characteristics，residual strength and elastoplastic strain evolution during the failure process of rock. Besides，the model can describe the anisotropic deformation characteristics of rock under true triaxial condition，and can reveal the damage mechanism of cohesive resistance weakening and frictional resistance strengthening.

Key words： rock mechanics residual strength dilatation post-peak shape strain softening statistical damage model

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	Articles by authors
	LIANG Mingchun1
	2
	MIAO Shengjun1
	2
	CAI Meifeng1
	2
	HUANG Zhengjun1
	2
	YANG Pengjin1
	2

Cite this article:

LIANG Mingchun1,2,MIAO Shengjun1, et al. A damage constitutive model of rock with consideration of dilatation and post-peak shape of the stress-strain curve[J]. , 2021, 40(12): 2392-2401.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.0107 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I12/2392

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