Anisotropic Damage Model Predicts Uniaxial Compressive Strength of Heterogeneous Brittle Materials

Recent research from Johns Hopkins University has proposed an anisotropic damage modeling framework to predict the uniaxial compressive strength of heterogeneous brittle materials under strain-rate loading. The framework accounts for the effect of interaction stress fields produced by pre-existing defects on cracks in brittle material, allowing for the incorporation of material microstructure. Financial support for this research came from the Army Research Laboratory in the USA. The model uses a superposition technique to compute interaction modified stresses and a sliding-crack model to represent extension under compression.

Key Takeaways:

• The proposed anisotropic damage model accounts for the effect of interaction stress fields produced by pre-existing defects on cracks in brittle material.
• The model uses a superposition technique to compute interaction modified stresses and a sliding-crack model to represent extension under compression.
• The directional influence of wing-crack growth is incorporated through an anisotropic damage model where a tensorial damage metric is employed.
• A linear, anisotropic increment in material compliance is derived accounting for the effect of interactions on micro-cracking based damage.
• The model parameters can be estimated from microstructural information and/or strength, damage, and volumetric strain observed in experiments.
• The calibrated model is used to predict uniaxial compressive strength at varying strain rates with good experimental match.
• The research compared the effectiveness of the proposed model with some existing micromechanics models for dynamic failure of brittle materials.

Statistics:

• Strain rates: 102 s-1 to 103 s-1
• Material microstructure: heterogeneous brittle materials
• Cracking behavior: extension under compression, dynamic wing-crack growth
• Damage metric: tensorial damage metric
• Increment in material compliance: linear, anisotropic
• Experimental match: good

Sources:

• "Anisotropic Damage Model With Defect-crack Interactions for Heterogeneous Brittle Media Under High-rate Loading." Journal of the Mechanics and Physics of Solids, 2025;204.
• Pergamon-elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, England. (Elsevier - www.elsevier.com; Journal of the Mechanics and Physics of Solids - www.journals.elsevier.com/journal-of-the-mechanics-and-physics-of-solids/)
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• Johns Hopkins University, Dept. of Mechanical Engineering, Baltimore, MD 21218, United States.