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A Multiscale Method for Damage Analysis of Quasi-Brittle Heterogeneous Materials

Computer Modeling in Engineering & Sciences 2019年第7期120卷 123-156页

作者： Filip Putar Jurica Soric Tomislav Lesicar Zdenko Tonkovic Faculty of Mechanical Engineering and Naval Architecture University of ZagrebIvana Lucica 5Zagreb 10000Croatia

A novel multiscale algorithm based on the higher-order continuum at both micro-and macrostructural level is proposed for the consideration of the quasi-brittle damage response of heterogeneous ***,the microlevel damage is modelled by the degradation of the homogenized stress and tangent stiffness tensors,which are then upscaled to govern the localization at the *** C^1 continuity finite element employing a modified case of Mindlin’s form II strain energy density is derived for the softening *** the authors’knowledge,the finite element discretization based on the strain gradient theory is applied for the modeling of damage evolution at the microstructural level for heterogeneous materials for the first *** advantage of the novel C1 finite element formulation in comparison with the standard finite element discretization in terms of the regularization efficiency as well as the objectivity has been *** isotropic damage law is used for the reduction of the constitutive and nonlocal material behaviour,which is necessary for the physically correct description of the localization formation in quasi-brittle *** capabilities of the derived finite element to capture the fully developed localization zones are tested on a random representative volume element(RVE)for several different loading *** employing the conventional second-order computational homogenization,the microstructural material constitutive response is averaged over the whole RVE *** order to model the loss of structural integrity when sharp localization is formed across RVE,the specific conditions which detect a completely formed localization zone are developed.A new failure criterion at the microstructural level has been *** derived finite element formulation,as well as the multiscale damage algorithm,are implemented into the finite element program *** capabilities of the presented multiscale scheme to capture the effects of the deformat

关键词： Multiscale analysis second-order computational homogenization damage,C^(1) continuity finite element quasi-brittle material

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