Strong-form meshless numerical modelling of visco-plastic material

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

Povzetek

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.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2024
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FS - Fakulteta za strojništvo
UDK:	539.3:519.6
COBISS:	201503491
ISSN:	0955-7997
Št. ogledov:	51
Št. prenosov:	5
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	viskoplastični materialni odzivi;hibridne končne diference;radialne bazne funkcije;poliharmonični zlepki;
Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 1-17
Zvezek:	ǂVol. ǂ167, [art. no.] 105868
Čas izdaje:	Oct. 2024
DOI:	10.1016/j.enganabound.2024.105868
ID:	24543144