engleski

Modeling of Material Deformation Responses Using Gradient Elasticity Theory

Realistic description of material deformation responses demands more accurate modeling at both macroscopic and microscopic scales. Multiscale techniques employing several homogenization schemes are mostly used, in which a transition between nonlocal and local continuum formulations has been performed. Therein the transition of state variables is not defined fully consistently. In the present contribution a novel multiscale approach is proposed, where the same nonlocal theories at both scales are coupled, and discretisation is performed only by means of the C1 finite element based on the strain gradient theory. The advantage of the new computational procedure is discussed in comparison with the approach using a local concept at microlevel. Employing the strain gradient continuum theory, a damage model for quasi-brittle materials is proposed and embedded into the C1 continuity triangular finite element. The softening response of homogeneous materials under assumption of isotropic damage law is considered. The regularization superiority over the conventional implicit gradient enhancement procedure is demonstrated.

multiscale approach, nonlocal continuum, heterogeneous materials, C1 continuity finite element, quasi brittle damage, strain gradient formulation

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