engleski

Multiscale Modeling of Heterogeneous Materials Using Gradient Elasticity Theory

In this research a new multiscale algorithm employing second-order computational homogenization is proposed, where a higher-order continuum theory is used at both scales, which is named C1-C1 homogenization. The both scales are represented by the Aifantis strain gradient elasticity theory. Owing to a higher-order continuum introduced on the RVE, each macrolevel displacement gradient and stress tensor can be derived as a true volume average of their micro conjugate. The macro-to-micro scale transition methodology is derived. The nonlocal behavior in C1-C1 approach is dictated by the RVE size, but also by Aifantis intrinsic microstructural parameter. Thus, the relation between the nonlocal influence of the RVE size and the microstructural parameter has been identified. The results of the new C1-C1 multiscale scheme are compared to the classical C1-C0 algorithm.

heterogeneous materials, C1 finite element, C1 continuity microlevel, second-order homogenization, Aifantis theory

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