Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 638-649.doi: 10.13229/j.cnki.jdxbgxb20191171

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Viscoelastic damage constitutive relation of sandstone under multiple impact load

Rui-feng DU1,2(),Xiang-jun PEI1(),Jun JIA1,3,Xiao-chao ZHANG1,Jun-yu CHEN1,Guo-hua ZHANG1   

  1. 1.State Key Laboratory of Geohazard Prevention and Geoenvironment Protection，Chengdu University of Technology，Chengdu 610059，China
    2.Civil Engineering and Surveying & Mapping Department，Inner Mongolia Technical College of Construction，Hohhot 010070，China
    3.Key Laboratory for Geo-hazards in Loess Area，MLR/Xi'an Center of Geological Survey，China Geological Survey，Xi'an 710054，China
  • Received:2019-12-23 Online:2021-03-01 Published:2021-02-09
  • Contact: Xiang-jun PEI E-mail:dddrrrfeng@126.com;peixj0119@tom.com

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Abstract:

In order to study the viscoelastic damage characteristics of sandstone， the Hopkinson test under multiple impact compression was carried out. Based on the dynamic stress-strain curve of sandstone， two definitions of dynamic deformation modulus in the range of middle strain rate are analyzed. It is shown that the equivalent dynamic deformation modulus can reflect the damage characteristics of sandstone under dynamic impact compression. Microscopically， the statistical damage variable of sandstone can be defined by the ratio of the number of damaged microelements to the total number of microelements； and macroscopically it can also be defined by the dynamic deformation modulus before and after the microelement failure. It is verified that the dynamic deformation modulus obeys the Weibull statistical distribution. The force model of the microelement is composed of a viscous body and a damaged body in parallel. The mechanical mechanism of the viscoelastic body is reasonably explained by the highly linear correlation between the dynamic stress， the dynamic strain and the strain rate of sandstone. The stress-strain relation of the damaged body is derived based on the Drucker-Prager strength criterion and the strain equivalent principle proposed by Lemaitre. Through the verification of the introduced viscoelastic constitutive relation curve and the test curve of sandstone， the trend of change between them is consistent， which has good representativeness， indicating that the established viscoelastic damage constitutive relation is reasonable. The deviation between them can be solved by increasing the number of sandstone samples， optimizing the test scheme and applying probability statistics. After obtaining the viscoelastic constitutive relationship parameters with a certain guarantee rate of probability， the viscoelastic damage constitutive relation can be used to analyze and evaluate the stability of the rock slope in the coal mining area， and provide the necessary theoretical analysis basis for the related geological engineering evaluation of safety.

Key words: geological engineering, sandstone, strain rate, dynamic deformation modulus, viscoelasticity, damage constitutive relation

CLC Number: 

  • TB122

Fig.1

Preparation for sandstone samples"

Fig.2

Schematic diagram and physical map of SHPB equipment and sandstone sample in place"

Fig.3

Curves related to SHPB test of sandstone"

Fig.4

Curves of strain against stress for sandstone under multiple impact compression"

Fig.5

Schematic diagram of equivalent deformation modulus"

Fig.6

Comparison between two definitions of dynamic deformation modulus"

Fig.7

Change law of dynamic deformation modulus of S-2 sandstone sample"

Fig.8

Schematic diagram of microelement"

Fig.9

Relation between dynamic stress, dynamic strain and strain rate of sandstone sample S-1"

Fig.10

Weibull distribution probability of dynamic deformation modulus of sandstone"

Fig.11

Comparison between constitutive and experimental curves of sandstone sample S-1"

Fig.12

Comparison between constitutive and experimental curves of sandstone sample S-2"

Fig.13

Influence of variation of sandstone viscosity coefficient on constitutive curve"

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