Naslov
Modeling of Finite Gradient Elasticity Using Optimal Transportation Method
(Modelling of Finite Gradient Elasticity Using Optimal Transportation Method)

Autori
Jalušić, Boris ; Weißenfels, Christian ; Sorić, Jurica ; Wriggers, Peter

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 9th International Congress of Croatian Society of Mechanics / Marović, Pavao ; Krstulović-Opara, Lovre ; Galić, Mirela - Split : Hrvatsko društvo za mehaniku (HDM), 2018, 1-8

Skup
9th International Congress of Croatian Society of Mechanics (ICCSM 2018)

Mjesto i datum
Split, Hrvatska, 18.09.2018. - 22.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
OTM Method, Gradient Elasticity

Sažetak
In this contribution, meshfree Optimal Transportation Method (OTM) is applied for the modeling of gradient hyperelasticity using higher-order theory based on only one microstructural parameter. The OTM method is utilized for the purpose of structural behaviour modeling undergoing large deformation. Therefore, the method is based on the weak-form of gradient continuum for finite strain and applied for the modeling of homogeneous and heterogeneous structures. In the considered weak-form approach the fourth-order dynamic equilibrium equations are solved at each material point directly without using any uncoupling procedures. The independent displacement variables are approximated using interpolating Maximum-Entropy functions. This enables the satisfaction of the boundary conditions in a simple and straightforward manner without the need for the calculation of additional parameters. The analysis of accuracy and numerical performance of the applied approach is demonstrated by a couple of benchmark examples and the obtained results are compared to the ones available in the literature. Furthermore, the considered method is utilized for simulation of material microstructure and description of size effects in the heterogeneous material.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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