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Nonuniform Transformation Field Analysis

Abstract : The exact description of the overall behavior of composites with nonlinear dissipative phases requires an infinity of internal variables. Approximate models involving only a finite number of those can be obtained by considering a decomposition of the microscopic anelastic strain field on a finite set of transformation fields. The Transformation Field Analysis of Dvorak [Proc. R. Soc. Lond. A 437 (1992) 311] corresponds to piecewise uniform transformation fields. The present theory considers nonuniform transformation fields. Comparison with numerical simulations shows the accuracy of the proposed model.
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Jean-Claude Michel, Pierre Suquet. Nonuniform Transformation Field Analysis. International Journal of Solids and Structures, Elsevier, 2003, 40, pp.6937-6955. ⟨10.1016/S0020-7683(03)00346-9⟩. ⟨hal-00088331⟩

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