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Dynamic Constitutive Model of Fractured Brittle Rock With Fillings Based on Weibull Distribution and High‐Frequency Maxwell.

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Title: Dynamic Constitutive Model of Fractured Brittle Rock With Fillings Based on Weibull Distribution and High‐Frequency Maxwell.
Authors: Han, Liang1,2 (AUTHOR), Xie, Xianqi1,2,3 (AUTHOR) xxqblast@163.com, Yao, Yingkang3 (AUTHOR), Wang, Wei1 (AUTHOR), Hao, Jiawang4 (AUTHOR), Herreros, M.I. (AUTHOR) iherreros@cab.inta-csic.es
Source: Shock & Vibration. 3/3/2026, Vol. 2026, p1-12. 12p.
Subjects: Weibull distribution, Impact testing, Dynamic models, Structural geology, Rock mechanics, Stone, Damage models, Rheology
Abstract: Fractured rocks containing infill materials are frequently encountered in engineering applications, and an understanding of dynamic characteristics is crucial for assessing stability and preventing disasters in rock engineering projects. The novel feature of this paper is that a dynamic constitutive model of fractured rocks with fillings is proposed to reveal the mechanical response mechanism of such rocks under dynamic load impact. This model has been formulated to characterize the dynamic attributes of fractured brittle rocks, utilizing damage elements that adhere to the Weibull distribution and high‐frequency Maxwell elements. The precision of the model has been confirmed through impact testing data obtained from granite samples. In the case of fractured brittle rocks with infill, structural plane factors have been incorporated, leading to the proposal of a macro–micro coupled damage dynamic constitutive model. This model considers both the microscale damage within the rock and the macroscale damage associated with the structural planes. The model parameters have been ascertained through nonlinear fitting techniques, and the validity of the model has been established by comparing its predictions to impact testing data obtained from grouted reinforcement bodies. The ultimate findings indicate that the proposed macro–micro coupled damage dynamic constitutive model is capable of precisely depicting the stress–strain relationship of fractured brittle rocks with infill when subjected to dynamic loading and impact. This model serves as a valuable reference for investigating the dynamic mechanisms of such rocks. [ABSTRACT FROM AUTHOR]
Copyright of Shock & Vibration is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Dynamic Constitutive Model of Fractured Brittle Rock With Fillings Based on Weibull Distribution and High‐Frequency Maxwell.
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  Data: <searchLink fieldCode="AR" term="%22Han%2C+Liang%22">Han, Liang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xie%2C+Xianqi%22">Xie, Xianqi</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> xxqblast@163.com</i><br /><searchLink fieldCode="AR" term="%22Yao%2C+Yingkang%22">Yao, Yingkang</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Wei%22">Wang, Wei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hao%2C+Jiawang%22">Hao, Jiawang</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Herreros%2C+M%2EI%2E%22">Herreros, M.I.</searchLink> (AUTHOR)<i> iherreros@cab.inta-csic.es</i>
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  Data: <searchLink fieldCode="JN" term="%22Shock+%26+Vibration%22">Shock & Vibration</searchLink>. 3/3/2026, Vol. 2026, p1-12. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Weibull+distribution%22">Weibull distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Impact+testing%22">Impact testing</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+models%22">Dynamic models</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+geology%22">Structural geology</searchLink><br /><searchLink fieldCode="DE" term="%22Rock+mechanics%22">Rock mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Stone%22">Stone</searchLink><br /><searchLink fieldCode="DE" term="%22Damage+models%22">Damage models</searchLink><br /><searchLink fieldCode="DE" term="%22Rheology%22">Rheology</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Fractured rocks containing infill materials are frequently encountered in engineering applications, and an understanding of dynamic characteristics is crucial for assessing stability and preventing disasters in rock engineering projects. The novel feature of this paper is that a dynamic constitutive model of fractured rocks with fillings is proposed to reveal the mechanical response mechanism of such rocks under dynamic load impact. This model has been formulated to characterize the dynamic attributes of fractured brittle rocks, utilizing damage elements that adhere to the Weibull distribution and high‐frequency Maxwell elements. The precision of the model has been confirmed through impact testing data obtained from granite samples. In the case of fractured brittle rocks with infill, structural plane factors have been incorporated, leading to the proposal of a macro–micro coupled damage dynamic constitutive model. This model considers both the microscale damage within the rock and the macroscale damage associated with the structural planes. The model parameters have been ascertained through nonlinear fitting techniques, and the validity of the model has been established by comparing its predictions to impact testing data obtained from grouted reinforcement bodies. The ultimate findings indicate that the proposed macro–micro coupled damage dynamic constitutive model is capable of precisely depicting the stress–strain relationship of fractured brittle rocks with infill when subjected to dynamic loading and impact. This model serves as a valuable reference for investigating the dynamic mechanisms of such rocks. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Shock & Vibration is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1155/vib/6668078
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      – Code: eng
        Text: English
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        PageCount: 12
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      – SubjectFull: Weibull distribution
        Type: general
      – SubjectFull: Impact testing
        Type: general
      – SubjectFull: Dynamic models
        Type: general
      – SubjectFull: Structural geology
        Type: general
      – SubjectFull: Rock mechanics
        Type: general
      – SubjectFull: Stone
        Type: general
      – SubjectFull: Damage models
        Type: general
      – SubjectFull: Rheology
        Type: general
    Titles:
      – TitleFull: Dynamic Constitutive Model of Fractured Brittle Rock With Fillings Based on Weibull Distribution and High‐Frequency Maxwell.
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            NameFull: Han, Liang
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            NameFull: Xie, Xianqi
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            NameFull: Yao, Yingkang
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            NameFull: Wang, Wei
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            – D: 03
              M: 03
              Text: 3/3/2026
              Type: published
              Y: 2026
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              Value: 2026
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