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<p>This study extends the Tsai–Wu failure criterion for predicting fracture in orthotropic materials under mixed-mode I/II loading. The newly proposed Extended Tsai–Wu (ETW) criterion generalizes the original formulation—developed for uncracked composites—to cracked configurations by utilizing the crack-tip stress field and expressing the criterion in terms of stress intensity factors (SIFs). The ETW criterion accounts for crack orientations both parallel and perpendicular to the fiber direction and explicitly incorporates the T-stress effect. Additionally, micromechanical damage parameters related to the fracture process zone (FPZ) are incorporated into a macroscopic analytical framework. The validity of the ETW criterion is evaluated by comparing with experimental data for wood species as orthotropic materials. The predicted fracture limit curves are in good agreement with the experimental results and demonstrate improved accuracy over existing classical criteria. The proposed criterion offers an efficient and reliable tool for predicting fracture and optimizing the structural design of orthotropic materials subjected to mixed-mode I/II loading.</p>

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Extended Tsai–Wu criterion with T-stress and FPZ effects for mixed-mode I/II fracture in cracked orthotropic materials

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • Mohammadali Askari,
  • Zahra Daneshjoo,
  • Amirmahdi Mostafapour

摘要

This study extends the Tsai–Wu failure criterion for predicting fracture in orthotropic materials under mixed-mode I/II loading. The newly proposed Extended Tsai–Wu (ETW) criterion generalizes the original formulation—developed for uncracked composites—to cracked configurations by utilizing the crack-tip stress field and expressing the criterion in terms of stress intensity factors (SIFs). The ETW criterion accounts for crack orientations both parallel and perpendicular to the fiber direction and explicitly incorporates the T-stress effect. Additionally, micromechanical damage parameters related to the fracture process zone (FPZ) are incorporated into a macroscopic analytical framework. The validity of the ETW criterion is evaluated by comparing with experimental data for wood species as orthotropic materials. The predicted fracture limit curves are in good agreement with the experimental results and demonstrate improved accuracy over existing classical criteria. The proposed criterion offers an efficient and reliable tool for predicting fracture and optimizing the structural design of orthotropic materials subjected to mixed-mode I/II loading.