Three-dimensional numerical modeling of a stationary v-notch in a porous material constituted by a non-linear response relationship

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Peak tensile stress consistently occurs near the crack tip in the porous material.
The governing equations are formulated as quasilinear partial differential equations to represent material properties.
A continuous trilinear Galerkin-type finite element method addresses inherent nonlinearities effectively.
This model aligns well with classical elastic fracture mechanics, highlighting its validity for predicting material failure.

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Mathematical model demonstrates peak tensile stress in porous material, indicating implications for material failure.

Gou et al. (2025) studied this question.

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