Naslov
Measure of Nonlocal Response in Multiscale Gradient Modeling

Autori
Lesičar, T., Tonković, Z., Sorić, J.

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

Izvornik
Proceedings of Advances in Fracture and Damage Mechanics XV / Toribio, J., Mantič V., Sáez A., Aliabadi, M. H. F. - Alicante : Trans Tech Publications, 2016, 297-300

Skup
15th International Conference on Fracture and Damage Mechanics

Mjesto i datum
Alicante, Španjolska, 14.09.2016. - 16.09.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
heterogeneous materials; C1 finite element; C1 continuity microlevel; second-order computational homogenization

Sažetak
Realistic description of heterogeneous material behavior demands more accurate modeling at multiple scales. Multiscale scheme employing second-order homogenization requires C1 continuity at the macrolevel, while classical continuum is usually kept at the microlevel (C1-C0 homogenization). However, due to C1-C0 transition, consistency of macroscale variables is violated. This research proposes a new second-order homogenization scheme employing C1 continuity at both scales. Discretization is performed by the C1 finite element and Aifantis gradient elasticity theory. A new gradient boundary conditions are derived. The relation between the Aifantis length scale and the RVE size has been found. The new procedure is tested on a benchmark example. After successful development of the C1-C1 multiscale scheme, the next step is an extension to consistent scaling of the microscale strain localization towards a macroscopic fracture.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

POVEZANOST RADA