A method of formal scaling is presented that allows for a unified deduction from three-dimensional linear elasticity of the equations of structural mechanics, such as Reissner-Mindlin's equations for shearable plates and Timoshenko's equations for shearable rods. This method is based on the requirement that a scaled energy functional that may include second-gradient terms stay bounded in the limit of vanishing thickness.

Miara, B., PODIO GUIDUGLI, P. (2007). Deduction by scaling: a unified approach to classic plate and rod theories. ASYMPTOTIC ANALYSIS, 51(2), 113-131.

Deduction by scaling: a unified approach to classic plate and rod theories

PODIO GUIDUGLI, PAOLO
2007-01-01

Abstract

A method of formal scaling is presented that allows for a unified deduction from three-dimensional linear elasticity of the equations of structural mechanics, such as Reissner-Mindlin's equations for shearable plates and Timoshenko's equations for shearable rods. This method is based on the requirement that a scaled energy functional that may include second-gradient terms stay bounded in the limit of vanishing thickness.
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ING-IND/22 - SCIENZA E TECNOLOGIA DEI MATERIALI
English
Con Impact Factor ISI
3-dimensional elasticity; linear model; justification; derivation; convergence; junctions; limit
Miara, B., PODIO GUIDUGLI, P. (2007). Deduction by scaling: a unified approach to classic plate and rod theories. ASYMPTOTIC ANALYSIS, 51(2), 113-131.
Miara, B; PODIO GUIDUGLI, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/7902
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