A Statistical Damage Constitutive Model for Brittle Rocks Based on the Lade-Duncan Failure Criterion

Zhen Yuan Tian; Wei Wang; Xue Hao Li; Wei Ya Xu

doi:10.4028/www.scientific.net/AMR.919-921.632

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 919-921A Statistical Damage Constitutive Model for...

A Statistical Damage Constitutive Model for Brittle Rocks Based on the Lade-Duncan Failure Criterion

Abstract:

Micro-unit strength of rock is randomly distributed based on Lemaitres strain equivalence assumptions. The paper presents a method for measuring micro-unit strength taking into account the damage threshold. Assuming that the micro-unit strength obeys the Weibull distribution, combined with the Lade-Duncan failure criterion, a new statistical damage constitutive model for brittle rocks is established and the model parameters m and F₀ are determined. The model can simulate the stress-strain relation of full process of rock failure well, especially reflects the influence of different stress on damage threshold and the linear elastic characteristic under low stress for rock. The good accord verifies the validity and feasibility of the new model.

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Periodical:

Advanced Materials Research (Volumes 919-921)

Pages:

632-636

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.919-921.632

Citation:

Cite this paper

Online since:

April 2014

Authors:

Zhen Yuan Tian*, Wei Wang, Xue Hao Li, Wei Ya Xu

Keywords:

Damage Threshold, Lade-Duncan Failure Criterion, Rock Mechanics, Statistical Damage Model

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