Journal of Nanomechanics and Micromechanics | Vol.1, Issue.0 | | Pages
Homogenization of Cohesive-Frictional Strength Properties of Porous Composites: Linear Comparison Composite Approach
This paper introduces a novel micromechanics method for strength homogenization of cohesive-frictional porous composites. Within a yield design formulation, the inherently nonlinear homogenization problem associated with strength upscaling is treated by the linear comparison composite (LCC) theory, which resolves the strength properties of the heterogeneous medium by estimating the effective properties of a suitable linear comparison composite with similar underlying microstructure. The LCC homogenization method rationalizes the development of strength criteria for cohesive-frictional materials affected by the presence of porosity and rigidlike inclusions. Modeling results for benchmark microstructures improve existing micromechanics formulations by allowing the consideration of the complete range of frictional behaviors for the Drucker-Prager solid and by lifting the restriction on the incompressibility of the solid for the estimation of morphology factors that describe the mechanical interaction between material phases. The LCC strength homogenization is implemented in a multiscale thought model applicable to geomaterials, which serves as a generalized framework for quantitative assessment of effects of material composition, grain-scale properties, microstructure, and interface conditions on the overall strength of the porous composite.
Original Text (This is the original text for your reference.)
Homogenization of Cohesive-Frictional Strength Properties of Porous Composites: Linear Comparison Composite Approach
This paper introduces a novel micromechanics method for strength homogenization of cohesive-frictional porous composites. Within a yield design formulation, the inherently nonlinear homogenization problem associated with strength upscaling is treated by the linear comparison composite (LCC) theory, which resolves the strength properties of the heterogeneous medium by estimating the effective properties of a suitable linear comparison composite with similar underlying microstructure. The LCC homogenization method rationalizes the development of strength criteria for cohesive-frictional materials affected by the presence of porosity and rigidlike inclusions. Modeling results for benchmark microstructures improve existing micromechanics formulations by allowing the consideration of the complete range of frictional behaviors for the Drucker-Prager solid and by lifting the restriction on the incompressibility of the solid for the estimation of morphology factors that describe the mechanical interaction between material phases. The LCC strength homogenization is implemented in a multiscale thought model applicable to geomaterials, which serves as a generalized framework for quantitative assessment of effects of material composition, grain-scale properties, microstructure, and interface conditions on the overall strength of the porous composite.
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strength homogenization of cohesivefrictional porous composites multiscale thought model druckerprager solid yield design micromechanics formulations cohesivefrictional materials strength properties of the heterogeneous medium mechanical interaction between frictional behaviors inherently nonlinear homogenization problem porosity effective properties material composition grainscale properties microstructure and interface conditions quantitative assessment of geomaterials morphology factors rigidlike linear comparison composite lcc theory incompressibility
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