Strong-form meshless numerical modelling of visco-plastic material

Gašper Vuga (Author), Boštjan Mavrič (Author), Božidar Šarler (Author)

Abstract

This work extends our research on the strong-form meshless Radial Basis Function - Finite Difference (RBF-FD) method for solving non-linear visco-plastic mechanical problems. The polyharmonic splines with second-order polynomial augmentation are used for the shape functions. Their coefficients are determined by collocation. Three different approaches (direct, composed, and hybrid) are used for the numerical evaluation of the divergence operator in the equilibrium equation. They are presented and assessed for a visco-plastic material model with continuously differentiable material properties. It is shown that the direct approach is not suitable in this respect. In comparison to the previously investigated elasto-plasticity, it is shown that the composed approach can successfully cope with visco-plastic problems and is found to be even more accurate than the hybrid approach, which has previously proven to be most stable and effective in solving elasto-plasticity. This work extends the applicability of strong-form RBF-FD methods and opens up new areas of modelling non-linear solid mechanics.

Keywords

visco-plastic material responses;hybrid radial basis;generated finite differences;polyharmonic splines;

Data

Language:	English
Year of publishing:	2024
Typology:	1.01 - Original Scientific Article
Organization:	UL FS - Faculty of Mechanical Engineering
UDC:	539.3:519.6
COBISS:	201503491
ISSN:	0955-7997
Views:	51
Downloads:	5
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	viskoplastični materialni odzivi;hibridne končne diference;radialne bazne funkcije;poliharmonični zlepki;
Type (COBISS):	Article
Pages:	str. 1-17
Issue:	ǂVol. ǂ167, [art. no.] 105868
Chronology:	Oct. 2024
DOI:	10.1016/j.enganabound.2024.105868
ID:	24543144