NONLINEAR THIN-PLATE BENDING ANALYSES USING THE HERMITE REPRODUCING KERNEL APPROXIMATION

TANAKA SATOYUKI

SADAMOTO SHOTA

岡澤 重信

International Journal of Computational Methods

This study analyzed thin-plate bending problems with a geometrical nonlinearity using the Hermite reproducing kernel approximation and sub-domain-stabilized conforming integration. In thin-plate bending analyses, the deflections and rotations satisfy so-called Kirchhoff mode reproducing conditions. It is then possible to solve large deflection analyses of thin plates, such as elastic bucking problems, with high accuracy and efficiency. Total Lagrangian method is applied to solve the geometrical nonlinearity of the thin plates' deflections and rotations. The Green–Lagrange strain and second Piola–Kirchhoff stress forms are adopted to represent the strains and stresses in the thin plates. Mathematical formulation and some numerical examples are also demonstrated.

Hermite reproducing kernel approximation

thin-plate bending problem

Kirchhoff–Love hypothesis

geometrical nonlinearity

total Lagrangian method

英語

World Scientific Publishing

Electronic version of an article published as International Journal of Computational Methods, 2012 09:01, https://doi.org/10.1142/S0219876212400129, © copyright World Scientific Publishing Company

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[DOI] https://doi.org/10.1142/S0219876212400129 ～の異版である