TY  - EJOU
AU  - Sadamoto, Shota  
AU  - Tanaka, Satoyuki  
AU  - Okazawa, Shigenobu  

TI  - Large deflection analysis for thin-plate bending problem using HRK approximation
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2011
VL  - 18
IS  - 4
SN  - 1933-2815

AB  - 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.
KW  - 

DO  - 10.3970/icces.2011.018.129