Multiple scale eigendeformation-based reduced order homogenization

107 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

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”
Bridging multiple structural scales with a generalized finite element method (2015, methodology): “based on a decomposition of the fine scale displacement field into eigenstrains and eigenseparations [29, 30]; the variational multiscale enrichment method (VME) of Oskay [31, 32]; and the multiscale FEM of Tom Hou et al.”