What question did this study set out to answer?

Investigate new fractional-integral formulations for crack initiation and mixed-mode propagation in orthotropic materials.

February 23, 2026Theoretical and Applied Fracture MechanicsOpen Access

A new M θ and A θ fractional-integrals for crack initiation and mixed modes growth in hygro-viscoelastic orthotropic materials

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Authors

RPRostand Moutou PittiCentre National de la Recherche Scientifique RPRostand Moutou PittiCentre National de la Recherche Scientifique BBBenoit BlaysatCentre National de la Recherche Scientifique

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Implication

Analytical framework reveals the influence of fractional-integrals on crack propagation in orthotropic materials, indicating enhanced fracture analysis.

Key Points

Investigate new fractional-integral formulations for crack initiation and mixed-mode propagation in orthotropic materials.
Developed path-independent integral formulations based on conservation laws.
Implemented an automatic crack initiation detection algorithm in finite element software.
Modeled hygro-viscoelastic behavior using a fractional Zener formulation.
Introduced M θ visco and A θ visco invariant integrals for evaluating fracture parameters.
Established proper separation of fracture modes under hygro-mechanical coupling effects.
Demonstrated sensitivity of crack propagation kinetics to fractional model parameters.

Cite This Study

Pitti et al. (2026) studied this question.

synapsesocial.com/papers/699ba07072792ae9fd870184 https://doi.org/10.1016/j.tafmec.2026.105525

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Implication

Analytical framework reveals the influence of fractional-integrals on crack propagation in orthotropic materials, indicating enhanced fracture analysis.

A new M θ and A θ fractional-integrals for crack initiation and mixed modes growth in hygro-viscoelastic orthotropic materials

Discussion

Member takes

Implication

Key Points

Cite This Study

A new M θ and A θ fractional-integrals for crack initiation and mixed modes growth in hygro-viscoelastic orthotropic materials

Discussion

Member takes

Implication

Key Points

Cite This Study

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