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Application of local numerical homogenization and hp-adaptive FEM for modeling of heterogeneous viscoelastic materials

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Klimczak M. , Cecot W.

2015

tom Vol. 63, iss. 3

317--327

In this paper the application of local numerical homogenization and hp-adaptive FEM for modeling of non-periodic heterogeneous viscoelastic materials is presented. These two methods were combined and modified in order to provide a novel tool for reliable and efficient analyses of structures made of the above mentioned materials. Short descriptions of both numerical methods as well as our approach are provided. Several numerical examples are presented in order to validate the effectiveness of the proposed method.

Comparison of two methods for numerical upscaling

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Klimczak M. , Cecot W.

tom Vol. 64, iss. 4

385--392

The main objective of this paper is to compare two discretization-based homogenization methods. A local numerical homogenization and a multiscale finite element method (MsFEM) are first briefly presented and next numerically tested. In the case of MsFEM, a new shape function construction is also presented. Extensive comparison of both techniques constitutes the main part of this study. Novelty of this research is to combine aforementioned methods with mesh adaptivity at the coarse mesh level and the application of the higher-order approximation.