Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model

To study the theoretical calculation method of the HEL for hard rock, the major factors determining the strength of rock under dynamic loadings are firstly discussed. Secondly, the calculation method of the HEL of hard rock is suggested based on the Lundborg strength criterion, and the parameters in...

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Autores principales:	Yihao Cheng, Chunming Song, Yizhong Tan, Songlin Yue, Gan Li, Yanyu Qiu, Tianhan Xu, Yong Liu, Fei Gao, Qian Yu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/99d9b1ec923c4acf93feb34e8d54f896
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spelling	oai:doaj.org-article:99d9b1ec923c4acf93feb34e8d54f8962021-11-22T01:11:20ZTheoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model1875-920310.1155/2021/6677077https://doaj.org/article/99d9b1ec923c4acf93feb34e8d54f8962021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6677077https://doaj.org/toc/1875-9203To study the theoretical calculation method of the HEL for hard rock, the major factors determining the strength of rock under dynamic loadings are firstly discussed. Secondly, the calculation method of the HEL of hard rock is suggested based on the Lundborg strength criterion, and the parameters influencing the HEL are analyzed and discussed. Thirdly, the HEL obtained by theoretical calculation, numerical modeling, and experiments are compared. Fourthly, the abnormal decreasing or increasing of the HEL in plate impact experiments of hard rock is explained. This research shows that the HEL increases with Poisson’s ratio, the shear strength at zero pressure, the coefficient of internal friction and the plastic limit, and Poisson’s ratio and the plastic limit could be the most important factors. The simplified model of this work can give a rational and practical prediction of the HEL of hard rock in theory, and the complicated interaction between the “damage front” and the diffuse elastic precursor is assumed to explain two special effects of the HEL in plate impact experiments of hard rock, where Poisson’s ratio related to damage levels seems to be the dominant factor.Yihao ChengChunming SongYizhong TanSonglin YueGan LiYanyu QiuTianhan XuYong LiuFei GaoQian YuHindawi LimitedarticlePhysicsQC1-999ENShock and Vibration, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Yihao Cheng Chunming Song Yizhong Tan Songlin Yue Gan Li Yanyu Qiu Tianhan Xu Yong Liu Fei Gao Qian Yu Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model
description	To study the theoretical calculation method of the HEL for hard rock, the major factors determining the strength of rock under dynamic loadings are firstly discussed. Secondly, the calculation method of the HEL of hard rock is suggested based on the Lundborg strength criterion, and the parameters influencing the HEL are analyzed and discussed. Thirdly, the HEL obtained by theoretical calculation, numerical modeling, and experiments are compared. Fourthly, the abnormal decreasing or increasing of the HEL in plate impact experiments of hard rock is explained. This research shows that the HEL increases with Poisson’s ratio, the shear strength at zero pressure, the coefficient of internal friction and the plastic limit, and Poisson’s ratio and the plastic limit could be the most important factors. The simplified model of this work can give a rational and practical prediction of the HEL of hard rock in theory, and the complicated interaction between the “damage front” and the diffuse elastic precursor is assumed to explain two special effects of the HEL in plate impact experiments of hard rock, where Poisson’s ratio related to damage levels seems to be the dominant factor.
format	article
author	Yihao Cheng Chunming Song Yizhong Tan Songlin Yue Gan Li Yanyu Qiu Tianhan Xu Yong Liu Fei Gao Qian Yu
author_facet	Yihao Cheng Chunming Song Yizhong Tan Songlin Yue Gan Li Yanyu Qiu Tianhan Xu Yong Liu Fei Gao Qian Yu
author_sort	Yihao Cheng
title	Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model
title_short	Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model
title_full	Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model
title_fullStr	Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model
title_full_unstemmed	Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model
title_sort	theoretical calculation method for the hugoniot elastic limit of hard rock based on ideal elastoplastic model
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/99d9b1ec923c4acf93feb34e8d54f896
work_keys_str_mv	AT yihaocheng theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT chunmingsong theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT yizhongtan theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT songlinyue theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT ganli theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT yanyuqiu theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT tianhanxu theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT yongliu theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT feigao theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel AT qianyu theoreticalcalculationmethodforthehugoniotelasticlimitofhardrockbasedonidealelastoplasticmodel
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Theoretical Calculation Method for the Hugoniot Elastic Limit of Hard Rock Based on Ideal Elastoplastic Model

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