On the micromechanics theory of Reissner-Mindlin plates
Copyright policy )On the micromechanics theory of Reissner-Mindlin plates
A micromechanics model is developed for Reissner-Mindlin plates based on a generalized eigenstrain formulation. In this framework, the author obtains an analytical solution for elliptical inclusion embedded in an infinite thick plate. In particular, the first-order asymptotic solution of the elliptical inclusion problem is obtained in explicit form. As an application, variational bounds are derived to estimate the effective elastic stiffnesses of Reissner-Mindlin plates, specifically, the flexural rigidity and the effective transverse shear modulus.
- Northwestern University United States
Micromechanics of solids, elliptical inclusion, generalized eigenstrain formulation, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, variational bounds, effective transverse shear modulus, Effective constitutive equations in solid mechanics, effective elastic stiffness, infinite thick plate, micromechanics, flexural rigidity, Reissner-Mindlin plate, first-order asymptotic solution, Plates, Eshelby tensor
Micromechanics of solids, elliptical inclusion, generalized eigenstrain formulation, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, variational bounds, effective transverse shear modulus, Effective constitutive equations in solid mechanics, effective elastic stiffness, infinite thick plate, micromechanics, flexural rigidity, Reissner-Mindlin plate, first-order asymptotic solution, Plates, Eshelby tensor
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