Journal article
Computational continua for linear elastic heterogeneous solids on unstructured finite element meshes
International journal for numerical methods in engineering, v 115(4), pp 501-530
27 Jul 2018
Abstract
The computational continua framework, which is a variant of higher-order computational homogenization theories that is free of scale separation, does not require higher-order finite element continuity, and is free of higher-order boundary conditions, has been generalized to unstructured meshes. The salient features of the proposed generalization are (i) a nonlocal quadrature scheme for distorted elements that accounts for unit cell distortion in the parent element domain and (ii) an approximate variant of the nonlocal quadrature that eliminates the cost of computing positions of the quadrature points in the preprocessing stage. The performance of the computational continua framework on unstructured meshes has been compared to the first-order homogenization theory and the direct numerical simulation.
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Details
- Title
- Computational continua for linear elastic heterogeneous solids on unstructured finite element meshes
- Creators
- Dimitrios Fafalis - Columbia UniversityJacob Fish - Columbia University
- Publication Details
- International journal for numerical methods in engineering, v 115(4), pp 501-530
- Publisher
- Wiley
- Number of pages
- 30
- Grant note
- Fu Foundation School of Engineering and Applied Science of Columbia University
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:000435938500005
- Scopus ID
- 2-s2.0-85046343035
- Other Identifier
- 991021889995604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications