Granular micromechanics modeling of beams, plates, and shells
نویسندگان
چکیده
We present constitutive laws of structural members, such as beams, plates and shells, using the granular micromechanics approach. These relationships between internal resultants (i.e., forces moments) kinematic variables strains curvatures) depend solely on microstructural properties constituents structure geometry. The macroscopic behavior is derived by investigating average grain-pair interactions in all generic directions and, thus, automatically represent complex loading-induced path-dependent anisotropic responses. specifically derive closed-form solutions for relationship members made both uniform functionally graded materials, functions grain-scale parameters. Furthermore, we demonstrate versatility computational efficiency proposed approach, well its applicability to nonlinear material systems not amenable solutions, studying particle–binder composites that exhibit failure-to-damage deformation mechanisms. analytical numerical reveal interesting one-way two-way coupling moments.
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ژورنال
عنوان ژورنال: Composite Structures
سال: 2021
ISSN: ['0263-8223', '1879-1085']
DOI: https://doi.org/10.1016/j.compstruct.2021.114559