Two-phase elastic axisymmetric nanoplates
نویسندگان
چکیده
Abstract In the present work, two-phase integral theory of elasticity developed in Barretta et al. (Phys E 97:13–30, 2018) for nano-beams is generalized to model two-dimensional nano-continua. Notably, a well-posed mixture local/stress-driven nonlocal proposed accurately predict size effects Kirchhoff axisymmetric nanoplates. The key idea express elastic radial curvature as convex combination local and responses, that coherent choice motivated by virtue plate axisymmetry. relevant structural problem shown be governed set integro-differential equations, whose solution computationally onerous. Thus, Helmholtz’s averaging kernel advantageously adopted, since it enables explicit inversion constitutive law an equivalence property. Specifically, elastostatic axisymmetry nanoplates equivalently formulated differential form terms transverse displacement field parameters. A parametric study performed case studies applicative interest, numerical solutions are finally provided discussed. presented methodology can adopted design optimization plate-based nano-electro-mechanical-systems (NEMS).
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ژورنال
عنوان ژورنال: Engineering With Computers
سال: 2022
ISSN: ['0177-0667', '1435-5663']
DOI: https://doi.org/10.1007/s00366-022-01680-z