#6977. A simplified estimation method for tensile softening curve of quasi-brittle materials

December 2026publication date
Proposal available till 05-06-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Mathematics (all);
Mechanical Engineering;
Civil and Structural Engineering;
Mechanics of Materials;
Materials Science (all);
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Abstract:
Based on cohesive zone model (CZM), a simplified method for estimating the tensile softening curve of quasi-brittle materials is proposed. First, assume that the virtual crack opening displacement is linearly distributed. According to Castiglianos theorem, a cohesive displacement proportional function (Formula presented.) is proposed, which can obtain Crack Tip Opening Displacement (CTOD) directly from Crack Mouth Opening Displacement (CMOD). This simplifies the governing equations of CZM and the tensile softening curve can be obtained quickly. Finally, the effectiveness of the method is verified by experiment and finite element. Highlights A simplified method for estimating the tensile softening curve of quasi-brittle materials is proposed. The proposed simplified method does not require sophisticated mathematical techniques or finite element modeling. The effectiveness of this method is verified by previous experimental results and finite element simulations. It is reasonable to assume that the crack opening displacement in the fracture process zone conforms to the linear distribution. The cohesive displacement proportional function (Formula presented.) is proposed. CTOD can be directly obtained from CMOD using the (Formula presented.) function.
Keywords:
cohesive displacement proportional function; fracture process zone; linear displacement assumption; Tensile softening curve; traction-separation relationship; weight function

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