Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone

During blasting in engineering construction, the surrounding rock becomes unstable and is damaged under the impacts of multiple low-amplitude stress waves. It is of great practical significance to understand the damage evolution characteristics and the attenuation of the mechanical properties of roc...

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Main Authors: Shufeng Liang, Shijun Hou, Shuaifeng Wu
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/16/8366
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author Shufeng Liang
Shijun Hou
Shuaifeng Wu
author_facet Shufeng Liang
Shijun Hou
Shuaifeng Wu
author_sort Shufeng Liang
collection DOAJ
description During blasting in engineering construction, the surrounding rock becomes unstable and is damaged under the impacts of multiple low-amplitude stress waves. It is of great practical significance to understand the damage evolution characteristics and the attenuation of the mechanical properties of rocks subjected to multiple stress waves. Single impact and repeated impact tests for sandstone were carried out using a split Hopkinson pressure bar (SHPB) loading system. The single impact test results showed that the sandstone materials were strain-rate-dependent, and the dynamic constitutive curve could be divided into four stages, namely the linear elastic stage, the new crack formation stage, the plastic strengthening stage and the unloading stage. The failure pattern mostly indicated splitting tensile failure, and the impact damage threshold was 45 J. The relationship between the damage and stress wave amplitude was D = 0.0029·exp\({\boxed{f_{()}}}\)(5.4127•σ/76.13) − 0.0504. The repeated impact test results showed that the dynamic compressive strength and the dynamic elastic modulus decreased, while the failure strain increased gradually as the number of impacts (n) increased. The sandstone specimen under repeated impacts had only one fracture surface compared with the single impact failure pattern. The cumulative damage presented the development form of ‘rapid rise–steady development–rapid rise’, and the damage evolution law could be expressed by D = 0.265 − 0.328·ln⁡⁡⁡\({\boxed{f_{()}}}\)(ln13.989/n). Finally, a set of methods to determine the Holmquist–Johnson–Cook (HJC) model parameters for sandstone was proposed based on a single impact test, repeated impact test, uniaxial compression test and triaxial compression test. The numerical simulation results of the SHPB test showed that the dynamic constitutive curves of sandstone were in good agreement with the experimental results.
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spelling doaj.art-74ab32fa7ba5434d9b74f93fcf60c58f2023-12-03T13:18:45ZengMDPI AGApplied Sciences2076-34172022-08-011216836610.3390/app12168366Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for SandstoneShufeng Liang0Shijun Hou1Shuaifeng Wu2School of Mechanics and Civil Engineering, China University of Mining and Technology-Beijing, Beijing 100083, ChinaState Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100048, ChinaState Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100048, ChinaDuring blasting in engineering construction, the surrounding rock becomes unstable and is damaged under the impacts of multiple low-amplitude stress waves. It is of great practical significance to understand the damage evolution characteristics and the attenuation of the mechanical properties of rocks subjected to multiple stress waves. Single impact and repeated impact tests for sandstone were carried out using a split Hopkinson pressure bar (SHPB) loading system. The single impact test results showed that the sandstone materials were strain-rate-dependent, and the dynamic constitutive curve could be divided into four stages, namely the linear elastic stage, the new crack formation stage, the plastic strengthening stage and the unloading stage. The failure pattern mostly indicated splitting tensile failure, and the impact damage threshold was 45 J. The relationship between the damage and stress wave amplitude was D = 0.0029·exp\({\boxed{f_{()}}}\)(5.4127•σ/76.13) − 0.0504. The repeated impact test results showed that the dynamic compressive strength and the dynamic elastic modulus decreased, while the failure strain increased gradually as the number of impacts (n) increased. The sandstone specimen under repeated impacts had only one fracture surface compared with the single impact failure pattern. The cumulative damage presented the development form of ‘rapid rise–steady development–rapid rise’, and the damage evolution law could be expressed by D = 0.265 − 0.328·ln⁡⁡⁡\({\boxed{f_{()}}}\)(ln13.989/n). Finally, a set of methods to determine the Holmquist–Johnson–Cook (HJC) model parameters for sandstone was proposed based on a single impact test, repeated impact test, uniaxial compression test and triaxial compression test. The numerical simulation results of the SHPB test showed that the dynamic constitutive curves of sandstone were in good agreement with the experimental results.https://www.mdpi.com/2076-3417/12/16/8366split Hopkinson pressure barrepeated impact testdamage evolution lawfailure patternHJC modeldetermination of parameters
spellingShingle Shufeng Liang
Shijun Hou
Shuaifeng Wu
Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone
Applied Sciences
split Hopkinson pressure bar
repeated impact test
damage evolution law
failure pattern
HJC model
determination of parameters
title Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone
title_full Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone
title_fullStr Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone
title_full_unstemmed Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone
title_short Research on the Dynamic Damage Properties and Determination of the Holmquist–Johnson–Cook Model Parameters for Sandstone
title_sort research on the dynamic damage properties and determination of the holmquist johnson cook model parameters for sandstone
topic split Hopkinson pressure bar
repeated impact test
damage evolution law
failure pattern
HJC model
determination of parameters
url https://www.mdpi.com/2076-3417/12/16/8366
work_keys_str_mv AT shufengliang researchonthedynamicdamagepropertiesanddeterminationoftheholmquistjohnsoncookmodelparametersforsandstone
AT shijunhou researchonthedynamicdamagepropertiesanddeterminationoftheholmquistjohnsoncookmodelparametersforsandstone
AT shuaifengwu researchonthedynamicdamagepropertiesanddeterminationoftheholmquistjohnsoncookmodelparametersforsandstone