Nonuniform transformation field analysis of elastic–viscoplastic composites

By Sophie Roussette, J. Michel, Pierre Suquet. 2009

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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 [48,49,55,30], 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…”
Three‐dimensional finite element implementation of the nonuniform transformation field analysis (2010, methodology): “The method has been applied to two-dimensional composites with great success [16, 18, 19] using the FFT [10, 20, 21] to solve the non-linear problem on the microscopic scale.”
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.”