Journal article
Computational continua revisited
International journal for numerical methods in engineering, v 102(3-4), pp 332-378
20 Apr 2015
Abstract
In the recent paper, Fish and Kuznetsov introduced the so-called computational continua (C-2) approach, which is a variant of the higher order computational homogenization that does not require higher order continuity, introduces no new degrees of freedom, and is free of higher order boundary conditions. In a follow-up paper on reduced order computational continua, the C-2 formulation has been enhanced with a model reduction scheme based on construction of residual-free fields to yield a computationally efficient framework coined as RC2. The original C-2 formulations were limited to rectangular and box elements. The primary objectives of the present manuscript is to revisit the original formulation in three respects: (i) consistent formulation of boundary conditions for unit cells subjected to higher order coarse scale fields, (ii) effective solution of the unit cell problem for lower order approximation of eigenstrains, and (iii) development of nonlocal quadrature schemes for general two-dimensional (quad and triangle) and three-dimensional (hexahedral and tetrahedral) elements. Copyright (C) 2014 John Wiley & Sons, Ltd.
Metrics
Details
- Title
- Computational continua revisited
- Creators
- Jacob Fish - Columbia UniversityVasilina Filonova - Columbia UniversityDimitrios Fafalis - Columbia University
- Publication Details
- International journal for numerical methods in engineering, v 102(3-4), pp 332-378
- Publisher
- Wiley
- Number of pages
- 47
- Grant note
- N00014- 210558 / ONR; Office of Naval Research Multiscale Design Systems
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:000352642900009
- Scopus ID
- 2-s2.0-85138140466
- Other Identifier
- 991021889995304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications