Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory

Many numerical methods are carried out to study the nonlinear failure behaviors of the rock; however, the numerical simulation methods for the failed rock are still in the research stage. This paper establishes the damage constitutive equation by combining the bilinear strain softening constitutive...

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Main Authors: Shuchen Li, Luchen Zhang, Qian Sun, Ma Tengfei
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2018-12-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2136
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author Shuchen Li
Luchen Zhang
Qian Sun
Ma Tengfei
author_facet Shuchen Li
Luchen Zhang
Qian Sun
Ma Tengfei
author_sort Shuchen Li
collection DOAJ
description Many numerical methods are carried out to study the nonlinear failure behaviors of the rock; however, the numerical simulation methods for the failed rock are still in the research stage. This paper establishes the damage constitutive equation by combining the bilinear strain softening constitutive model with energy dissipation principles, as well as the energy failure criterion of mesoscopic elements based on the strain energy density theory. When the strain energy stored by an element exceeds a fixed value, the element enters the damage state and the damage degree increases with increasing energy dissipation. Simultaneously, the material properties of the damaged element change until it becomes an element with certain residual strength. As the load increases, the damage degree of an element increases. When the strain energy stored by an element exceeds the established value of the energy criterion, the element is defined to be failed. As the number of failed elements constantly increases, failed elements interconnect and form macrocracks. The rock fracture calculation program on the basis of the preceding algorithm is successfully applied to the fracture simulation process in Brazilian splitting and intermediate crack tensile tests.
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institution Kabale University
issn 1971-8993
language English
publishDate 2018-12-01
publisher Gruppo Italiano Frattura
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series Fracture and Structural Integrity
spelling doaj-art-48fb9bee0e2d4385ad150048fad718f02025-01-03T00:40:24ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932018-12-011347Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density TheoryShuchen LiLuchen ZhangQian SunMa TengfeiMany numerical methods are carried out to study the nonlinear failure behaviors of the rock; however, the numerical simulation methods for the failed rock are still in the research stage. This paper establishes the damage constitutive equation by combining the bilinear strain softening constitutive model with energy dissipation principles, as well as the energy failure criterion of mesoscopic elements based on the strain energy density theory. When the strain energy stored by an element exceeds a fixed value, the element enters the damage state and the damage degree increases with increasing energy dissipation. Simultaneously, the material properties of the damaged element change until it becomes an element with certain residual strength. As the load increases, the damage degree of an element increases. When the strain energy stored by an element exceeds the established value of the energy criterion, the element is defined to be failed. As the number of failed elements constantly increases, failed elements interconnect and form macrocracks. The rock fracture calculation program on the basis of the preceding algorithm is successfully applied to the fracture simulation process in Brazilian splitting and intermediate crack tensile tests.https://www.fracturae.com/index.php/fis/article/view/2136strain energy densityenergy dissipationrock fracturenumerical simulation
spellingShingle Shuchen Li
Luchen Zhang
Qian Sun
Ma Tengfei
Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory
Fracture and Structural Integrity
strain energy density
energy dissipation
rock fracture
numerical simulation
title Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory
title_full Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory
title_fullStr Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory
title_full_unstemmed Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory
title_short Numerical Simulation Method Study of Rock Fracture Based on Strain Energy Density Theory
title_sort numerical simulation method study of rock fracture based on strain energy density theory
topic strain energy density
energy dissipation
rock fracture
numerical simulation
url https://www.fracturae.com/index.php/fis/article/view/2136
work_keys_str_mv AT shuchenli numericalsimulationmethodstudyofrockfracturebasedonstrainenergydensitytheory
AT luchenzhang numericalsimulationmethodstudyofrockfracturebasedonstrainenergydensitytheory
AT qiansun numericalsimulationmethodstudyofrockfracturebasedonstrainenergydensitytheory
AT matengfei numericalsimulationmethodstudyofrockfracturebasedonstrainenergydensitytheory