Computational analysis of nonlinear composite structures using the Nonuniform Transformation Field Analysis

By J. Michel, Pierre Suquet. 2004

243 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0a1106536fd0adc3471687156932b8dca3e6e691

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In Mechanics of Materials

Citations in the corpus

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)”
Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials (2007, methodology): “A major progress in mesomechanical modeling (obviously at the expense of computational cost) has been made by utilizing boundary element method [19], the Voronoi cell method [20], the spectral method [21], the transformation field analysis [22, 23], the Fast Fourier Transforms [24, 25], the network ”
Homogenization of elasto-(visco) plastic composites based on an incremental variational principle (2012, background): “Recently, non-uniform TFA frameworks were developed for composites and polycrystals, enabling a better description of the plastic strain fields and giving reasonable predictions (Michel and Suquet, 2004; Franciosi and Berbenni, 2008; Fritzen and Böhlke, 2010).”
High-performance model reduction techniques in computational multiscale homogenization (2014, methodology): “This fact certainly places the POD-based reduced basis approach at a competitive disadvantage compared with semi-analytical homogenization approaches such as the Nonlinear Transformation Field Analysis [49], which do capture exactly (and eﬀortlessly) the linear elastic response of the RVE.”
Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects (2018, background): “The largest potential of this work is in application of nonlinear constitutive models [29] of the polymer especially, as well as statistical experimental information on the interfaces [30], which can give the input to further probabilistic studies.”
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”
Routes for Efficient Computational Homogenization of Nonlinear Materials Using the Proper Generalized Decompositions (2010, background): “One can thus defin approximate non-linear constitutive relations, see e.g. [30].”