Naslov
Measure of Nonlocal Response in Multiscale Gradient Modeling

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

Izvornik
Key engineering materials (1013-9826) 713 (2017); 297-300

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

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