Academic Journal

A statistical damage constitutive model for the uniaxial mechanical behavior of wood based on the Poisson distribution.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: A statistical damage constitutive model for the uniaxial mechanical behavior of wood based on the Poisson distribution.
Συγγραφείς: Li, Weijun, Bai, Yashuang, Xu, Guolin, Li, Na
Πηγή: Nordic Pulp & Paper Research Journal; Mar2026, Vol. 41 Issue 1, p107-120, 14p
Θεματικοί όροι: Poisson distribution, Damage models, Finite element method, Subroutines (Computer programs), Mechanical behavior of materials, Stress-strain curves, Mechanics (Physics)
Περίληψη: The constitutive model of materials is fundamental for analyzing the nonlinear behavior of structures. For brittle and quasi-brittle materials, statistical damage constitutive models based on probability density functions offer high computational accuracy. However, existing statistical damage models for wood often show low accuracy, particularly under compressive loading, where discrepancies appear in the softening descending branch of the stress–strain curve. To address this issue, this study proposes establishing a statistical damage constitutive model, takes Yunnan pine and ash wood as examples and proposes a uniaxial statistical damage constitutive model for wood in the longitudinal direction. The model is constructed using the Poisson distribution function, principles of continuum mechanics, and the geometric features of deformation–failure curves. It was implemented as a user-defined material subroutine in the finite element software Abaqus. Numerical simulation results are compared with experimental data to assess the model's performance. The results indicate that the Poisson distribution-based model can accurately simulate the mechanical behavior of wood, especially under compression and tension. Finite element predictions of stress–strain behavior show strong agreement with test results, with minimal differences in the nonlinear response. This confirms the feasibility and accuracy of applying the Poisson distribution in constitutive modeling of wood. [ABSTRACT FROM AUTHOR]
Copyright of Nordic Pulp & Paper Research Journal is the property of De Gruyter 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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  Data: A statistical damage constitutive model for the uniaxial mechanical behavior of wood based on the Poisson distribution.
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  Data: <searchLink fieldCode="AR" term="%22Li%2C+Weijun%22">Li, Weijun</searchLink><br /><searchLink fieldCode="AR" term="%22Bai%2C+Yashuang%22">Bai, Yashuang</searchLink><br /><searchLink fieldCode="AR" term="%22Xu%2C+Guolin%22">Xu, Guolin</searchLink><br /><searchLink fieldCode="AR" term="%22Li%2C+Na%22">Li, Na</searchLink>
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  Data: Nordic Pulp & Paper Research Journal; Mar2026, Vol. 41 Issue 1, p107-120, 14p
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  Data: <searchLink fieldCode="DE" term="%22Poisson+distribution%22">Poisson distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Damage+models%22">Damage models</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Subroutines+%28Computer+programs%29%22">Subroutines (Computer programs)</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink><br /><searchLink fieldCode="DE" term="%22Stress-strain+curves%22">Stress-strain curves</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanics+%28Physics%29%22">Mechanics (Physics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The constitutive model of materials is fundamental for analyzing the nonlinear behavior of structures. For brittle and quasi-brittle materials, statistical damage constitutive models based on probability density functions offer high computational accuracy. However, existing statistical damage models for wood often show low accuracy, particularly under compressive loading, where discrepancies appear in the softening descending branch of the stress–strain curve. To address this issue, this study proposes establishing a statistical damage constitutive model, takes Yunnan pine and ash wood as examples and proposes a uniaxial statistical damage constitutive model for wood in the longitudinal direction. The model is constructed using the Poisson distribution function, principles of continuum mechanics, and the geometric features of deformation–failure curves. It was implemented as a user-defined material subroutine in the finite element software Abaqus. Numerical simulation results are compared with experimental data to assess the model's performance. The results indicate that the Poisson distribution-based model can accurately simulate the mechanical behavior of wood, especially under compression and tension. Finite element predictions of stress–strain behavior show strong agreement with test results, with minimal differences in the nonlinear response. This confirms the feasibility and accuracy of applying the Poisson distribution in constitutive modeling of wood. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Nordic Pulp & Paper Research Journal is the property of De Gruyter 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:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1515/npprj-2025-0050
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 107
    Subjects:
      – SubjectFull: Poisson distribution
        Type: general
      – SubjectFull: Damage models
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Subroutines (Computer programs)
        Type: general
      – SubjectFull: Mechanical behavior of materials
        Type: general
      – SubjectFull: Stress-strain curves
        Type: general
      – SubjectFull: Mechanics (Physics)
        Type: general
    Titles:
      – TitleFull: A statistical damage constitutive model for the uniaxial mechanical behavior of wood based on the Poisson distribution.
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            NameFull: Li, Weijun
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            NameFull: Bai, Yashuang
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            NameFull: Xu, Guolin
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            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
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              Value: 41
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