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

作者：Tanaka Satoyuki^*; Sadamoto Shota; Okazawa Shigenobu

来源：International Journal of Computational Methods, 2012, 9(1): 1240012.

DOI：10.1142/S0219876212400129

• Hermite reproducing kernel approximation
• thin-plate bending problem
• Kirchhoff-Love hypothesis
• geometrical nonlinearity
• total Lagrangian method

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%26apos; 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.

• 出版日期2012-3