Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials
By Caglar Oskay, Jacob Fish. 2007
300 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3a26e76d37b4a6cb779dbe3d0a607f0231a1d9ad
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In Computational Theory and Mathematics
- Wing Kam Liu
- Mgd Marc Geers
- Jeong‐Hoon Song
- Zeliang Liu
- S. Loehnert
- V. Kouznetsova
- Karel Matous
- Andrew Gillman
In Mechanics of Materials
- Jeong‐Hoon Song
- Ted Belytschko
- V. Kouznetsova
- Mgd Marc Geers
- Wing Kam Liu
- Carlos Armando Duarte
- Timon Rabczuk
- Zeliang Liu
Citations in the corpus
- Computational homogenization for heterogeneous thin sheets (2010, methodology): “g the finite element method [18, 22, 23, 25], the boundary element method [27], the Voronoi cell method [16, 17], a crystal plasticity framework [19, 20] or numerical methods based on Fast Fourier Transforms [21, 28] and Transformation Field Analysis [29].”
- Multiscale aggregating discontinuities: A method for circumventing loss of material stability (2008, methodology): “Oskay and Fish [7] have treated the homogenization of failure by eigendeformation techniques that bear a resemblance to the method proposed here.”
- Multiscale structural topology optimization with an approximate constitutive model for local material microstructure (2015, unknown): “Most of the existing ROMs constructed using reduction strategies such as Proper Orthogonal Decomposition (POD) [24,25], Proper Generalized Decomposition (PGD) [26–28], material map model [29,30], eigendeformation-based reduction [31,32], Nonuniform Transformation Field Analysis (NTFA) [33–36], and N”
- A multi‐scale spectral stochastic method for homogenization of multi‐phase periodic composites with random material properties (2010, background): “More recent developments on this subject pertain to the introduction of discretized eigendeformation fields into the homogenization framework which aims at reducing the computational complexity of the fine-scale problem [6, 7] or the coupling of atomistic and continuum descriptors at finite temperat”
- Coarse‐graining of multiscale crack propagation (2010, methodology): “An alternative approach is that based on eigenstrains, which has recently been developed by Fish and Yuan [9] and Oskay and Fish [10].”
- A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, background): “The Transformation Field Analysis (TFA) [206,273], its nonuniform extension (NTFA) [274,275], and eigenstrain based model reduction [146,276] have been popular for small stain analyses in particular.”
- Self-consistent clustering analysis: An efficient multi-scale scheme for inelastic heterogeneous materials (2016, background): “This is a fundamental issue when describing nonlinear irreversible32 plastic processes that is only mitigated by using many snapshots in the offline stage which increases the33 computational cost of the online stage to unreasonable values [29, 37].34 The NTFA introduced by Michel and Suquet [23] and”