@Article{icces.2011.018.129,
AUTHOR = {Shota  Sadamoto, Satoyuki  Tanaka, Shigenobu  Okazawa},
TITLE = {Large deflection analysis for thin-plate bending problem using HRK approximation},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {18},
YEAR = {2011},
NUMBER = {4},
PAGES = {129--130},
URL = {http://www.techscience.com/icces/v18n4/33237},
ISSN = {1933-2815},
ABSTRACT = {In this presentation, large deflection analysis for thin-plate bending problem using Hermite Reproducing Kernel (HRK) approximation is presented. HRK approximation for thin-plate bending problem is one of meshfree/particle approaches and is proposed by Wang [1]. The deflection and rotations are represented by the Hermite-type approximation. In the formulation, the rotations are represented by the differentiation of deflection and the approximation is satisfied Kirchhoff Mode Reproducing Condition (KMRC). Sub-domain stabilized nodal conforming integration is adopted to enforce integration constraint in the numerical integration. Total Lagrangian method is adopted to solve thin-plate bending problem with geometrical non-linearity. Green-Lagrange strain and second Piola Kirchhoff stress are used. Newton-Raphson method is adopted in the nonlinear analysis procedures. The mathematical formulation and the discretization for thin-plate bending problem are demonstrated. Some numerical examples are shown and the results are compared with the results of commercial software MSC/Marc. The convergence and the accuracy of the solutions are discussed.},
DOI = {10.3970/icces.2011.018.129}
}