Assessment of RPIM shape parameters for solution accuracy of 2D geometrically nonlinear problems

Bozkurt O. Y., KANBER B., AŞIK M. Z.

International Journal of Computational Methods, cilt.10, sa.3, 2013 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1142/s0219876213500035
  • Dergi Adı: International Journal of Computational Methods
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: geometrically nonlinear problems, meshfree methods, optimal shape parameters, Radial point interpolation method (RPIM), shape parameters
  • Samsun Üniversitesi Adresli: Hayır

Özet

This study discussed the effects of shape parameters on the radial point interpolation method (RPIM) accuracy in 2D geometrically nonlinear problems. Four finite deformation problems with compressible Neo-Hookean material are numerically solved with the RPIM algorithm using the multi-quadric (MQ) radial basis function. Both regular and irregular node distributions are used. Their displacements and Cauchy stresses are compared for different values of shape parameters and monomial basis. It is found that the shape parameters proposed for linearly elastic problems (q = 1.03, αc = 4) can still be applicable to 2D geometrically nonlinear problems but careful selections should be made for the calculation of stress. For example, when q is used as 1.75 with irregular node distributions, stresses can be calculated more precisely. © 2013 World Scientific Publishing Company.