ELASTIC-VISCOPLASTIC SOLUTION OF A CIRCULAR TUNNEL IN HOEK-BROWN ROCK MASS

Authors

  • XIAOFEI WANG STATE KEY LABORATORY FOR GEOMECHANICS AND DEEP UNDERGROUND ENGINEERING, SCHOOL OF MECHANICS & CIVIL ENGINEERING, CHINA UNIVERSITY OF MINING & TECHNOLOGY, XUZHOU 221116, PR CHINA HTTPS://ORCID.ORG/0000-0003-0085-3911
  • BIN-SONG JIANG STATE KEY LABORATORY FOR GEOMECHANICS AND DEEP UNDERGROUND ENGINEERING, SCHOOL OF MECHANICS & CIVIL ENGINEERING, CHINA UNIVERSITY OF MINING & TECHNOLOGY, XUZHOU 221116, PR CHINA HTTPS://ORCID.ORG/0000-0002-5555-5746
  • FEI LIN CHINA COAL TECHNOLOGY ENGINEERING GROUP HUAIBEI BLASTING TECHNOLOGY RESEARCH INSTITUTE LIMITED COMPANY, HUAIBEI 235099, PR CHINA HTTPS://ORCID.ORG/0000-0002-6386-0548
  • YUN-QIU LIU STATE KEY LABORATORY FOR GEOMECHANICS AND DEEP UNDERGROUND ENGINEERING, SCHOOL OF MECHANICS & CIVIL ENGINEERING, CHINA UNIVERSITY OF MINING & TECHNOLOGY, XUZHOU 221116, PR CHINA HTTPS://ORCID.ORG/0000-0002-7401-0899
  • YANG BAI STATE KEY LABORATORY FOR GEOMECHANICS AND DEEP UNDERGROUND ENGINEERING, SCHOOL OF MECHANICS & CIVIL ENGINEERING, CHINA UNIVERSITY OF MINING & TECHNOLOGY, XUZHOU 221116, PR CHINA HTTPS://ORCID.ORG/0000-0001-6218-9118

DOI:

https://doi.org/10.1590/1679-78256328

Abstract

A CLOSED-FORM ANALYTICAL SOLUTION TO RHEOLOGICAL PHENOMENA IS OBTAINED BASED ON HOEK-BROWN (HB) YIELD CRITERION AND THE GENERALIZED BINGHAM MODEL. ONCE THE CIRCULAR TUNNEL IS EXCAVATED, AN INITIAL PLASTIC REGION IS FORMED. WHEN THE TOTAL STRESSES FULFIL THE YIELD CONDITION, THE INITIAL PLASTIC REGION STEPS INTO THE VISCOPLASTIC REGION, IN WHICH THE DISPLACEMENT DEVELOPS WITH TIME. THE ONE-DIMENSIONAL CONSTITUTIVE EQUATION OF THE GENERALIZED BINGHAM MODEL IS TRANSFORMED INTO A THREE-DIMENSIONAL EXPRESSION IN POLAR COORDINATES BY COMBINING THE PLANE STRAIN CONDITION. WITH THE HELP OF EQUILIBRIUM DIFFERENTIAL EQUATION, GEOMETRIC EQUATION AND BOUNDARY CONDITION, THE STRESS AND DISPLACEMENT IN THE INITIAL PLASTIC REGION CAN BE EXPRESSED. AT THE MOMENT OF T, THE STRESSES AND DISPLACEMENTS ARE DESCRIBED SIMILAR TO THE SOLUTIONS OF THE ELASTO-PLASTIC STATE. THE STRESSES, STRAINS AND DISPLACEMENTS AFTER TRANSFORMATION CAN BE EXPRESSED IN THE VISCOPLASTIC REGION. THE PROPOSED SOLUTION WAS
VERIFIED BY THE CLOSED-FORM SOLUTION OF CIRCULAR TUNNELS IN ELASTIC-BRITTLE-PLASTIC ROCK MASS.

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Published

2021-01-07

Issue

Vol. 18 No. 1 (2021)

Section

Articles

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