ASSESSMENT OF RPIM SHAPE PARAMETERS FOR SOLUTION ACCURACY OF 2D GEOMETRICALLY NONLINEAR PROBLEMS

Date

2013-06-01

Author

BOZKURT, ÖMER YAVUZ
KANBER, BAHATTİN
Aşık, Mehmet Zülfü

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

234
views

0
downloads

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, alpha(c) = 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.

Subject Keywords

Computer Science (miscellaneous), Computational Mathematics

URI

https://hdl.handle.net/11511/36486

Journal

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

DOI

https://doi.org/10.1142/s0219876213500035

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

PERFORMANCE COMPARISON OF VARIOUS HEXAHEDRAL ELEMENT QUALITY METRICS VIA PARAMETRIC DISTORTION OF AN IDEAL ELEMENT Yalcin, Engin; YILMAZ, ASIM EGEMEN; Kuzuoğlu, Mustafa (World Scientific Pub Co Pte Lt, 2013-08-01) In this study, by means of parametric distortion of an ideal hexahedral element, we investigate the accuracy and sensitivity of some hexahedral element quality metrics existing in the literature. We also investigate and compare the relative computational costs of each metrics. We try to identify the weaknesses and strengths of all metrics under interrogation, and come up with some proposals for practical use.
Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over 0 < x < infinity Taşeli, Hasan (Elsevier BV, 2004-03-01) The eigenvalues of singular Sturm-Liouville problems defined over the semi-infinite positive real axis are examined on a truncated interval 0<x<l as functions of the boundary point l. As a basic theoretical result, it is shown that the eigenvalues of the truncated interval problems satisfying Dirichlet and Neumann boundary conditions provide, respectively, upper and lower bounds to the eigenvalues of the original problem. Moreover, the unperturbed system in a perturbation problem, where l remains sufficient...
Exact and FDM solutions of 1D MHD flow between parallel electrically conducting and slipping plates Arslan, Sinem; Tezer, Münevver (Springer Science and Business Media LLC, 2019-08-01) In this study, the steady, laminar, and fully developed magnetohydrodynamic (MHD) flow is considered in a long channel along with the z-axis under an external magnetic field which is perpendicular to the channel axis. The fluid velocity u and the induced magnetic field b depend on the plane coordinates x and y on the cross-section of the channel. When the lateral channel walls are extended to infinity, the problem turns out to be MHD flow between two parallel plates (Hartmann flow). Now, the variations of u...
Application of non-convex rate dependent gradient plasticity to the modeling and simulation of inelastic microstructure development and inhomogeneous material behavior Klusemann, Benjamin; Yalçınkaya, Tuncay; Geers, M. G. D.; Svendsen, Bob (Elsevier BV, 2013-12-01) In this study, a two-dimensional rate-dependent gradient crystal plasticity model for non-convex energetic hardening is formulated and applied to the simulation of inelastic microstructure formation. In particular, non-convex hardening is modeled via a Landau-Devonshire potential for self-hardening and two interaction-matrix-based forms for latent hardening. The algorithmic formulation and the numerical implementation treats the displacement and the glide-system slips as the primary field variables. The num...
Nonlinear oscillation of second-order dynamic equations on time scales Anderson, Douglas R.; Zafer, Ağacık (Elsevier BV, 2009-10-01) Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.

Citation Formats

Ö. Y. BOZKURT, B. KANBER, and M. Z. Aşık, “ASSESSMENT OF RPIM SHAPE PARAMETERS FOR SOLUTION ACCURACY OF 2D GEOMETRICALLY NONLINEAR PROBLEMS,” INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, pp. 0–0, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36486.