Nonuniform transformation field analysis

By J. Michel, Pierre Suquet. 2003

406 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/adb11317e9014794197b0be740940b9e2055360d

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In Biomedical Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Self-consistent clustering analysis: An efficient multi-scale scheme for inelastic heterogeneous materials (2016, methodology): “This contrasts with approaches such as TFA [22] and NTFA [23, 39].”
A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality (2017, methodology): “…example, micromechanics-based methods [47,48], the transformation field analysis (TFA) [49], the nonuniform transformation field analysis (NTFA) [50], the principal component analysis [51–53] also known as proper orthogonal decomposition (POD) [54,55], and the proper generalized decomposition…”
Nonlinear reduced order homogenization of materials including cohesive interfaces (2015, methodology): “The pRBMOR combines ideas of the seminal nonuniform transformation field analysis (NTFA) proposed by Michel and Suquet [1,2] with potential-based material modeling, more specifically with generalized standard materials (GSM, also: standard dissipative solids, e.”
Three‐dimensional finite element implementation of the nonuniform transformation field analysis (2010, methodology): “In order to solve the second task, Michel and Suquet [16, 18] proposed to integrate the local inelastic power over the volume element D̄=〈D(x)〉=〈ε̇p(x) ·r(x)〉 (17)”
High-performance model reduction techniques in computational multiscale homogenization (2014, methodology): “Such is the case of the Transformation Field Analysis (TFA) [25] and variants thereof [49, 50, 56, 30], which are based on the pre-computation of certain characteristic operators (strain localization and influence tensors) using the information obtained from solving a carefully chosen battery of fin”
Multiscale structural topology optimization with an approximate constitutive model for local material microstructure (2015, neutral): “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”
Homogenization of elasto-(visco) plastic composites based on an incremental variational principle (2012, background): “MMC’s with similar material properties were previously considered by several authors aiming to assess homogenization models (Segurado et al., 2002; Michel and Suquet, 2003; Doghri and Ouaar, 2003; González et al., 2004; Chaboche et al., 2005; Pierard et al., 2007a) so that the predictive…”