Measure of Nonlocal Response in Multiscale Gradient Modeling (CROSBI ID 231380)
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Podaci o odgovornosti
Lesičar, T., Tonković, Z., Sorić, J.
engleski
Measure of Nonlocal Response in Multiscale Gradient Modeling
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.
heterogeneous materials; C1 finite element; C1 continuity microlevel; second-order computational homogenization
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Podaci o izdanju
713
2017.
297-300
objavljeno
1013-9826
1662-9795
10.4028/www.scientific.net/KEM.713.297