Generalized hp-FEM for Lattice Structures
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Date
2002-10
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Report
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Abstract
Lattice block materials are mathematically modeled by periodic networks embedded in higher dimensional spaces. Elliptic two-scale problems on this dimensionally reduced structures are solved numerically by generalized Finite Elements. The choice of the problem adapted, conforming approximation spaces is motivated by an integral representation of the solution of the original problem extended to an infinite network with the same periodic pattern. The methods can be realized with algorithmic complexity independent of the micro scale, what is confirmed by numerical examples.
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published
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2002-23
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Seminar for Applied Mathematics, ETH Zurich
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Subject
generalized finite element method; lattice structures; networks; homogenization; two-scale problem
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics