Elastoplastic Analysis of Perforated Metal Sheets using Transformation Field Analysis and Finite Element Method

Filho, Christiano Augusto Ferrario Várady; Cavalcante, Marcio A. A.

doi:10.1590/1679-78256650

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…These fall within the category of classical micromechanical models such as the Self-consistent and Mori-Tanaka methods [15]. The Mori-Tanaka method [16,17] in particular enjoys considerable attention as being fully explicit and easy to implement, see, e.g., [18][19][20] for some recent applications. It also allows for a simple extension in the framework of Dvorak's transformation field analysis [21] to incorporate various sources of nonlinearities arising once loading the composite beyond the elastic regime.…”

Section: Introductionmentioning

confidence: 99%

Computational Modeling of Polymer Matrix Based Textile Composites

et al. 2022

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A simple approach to the multiscale analysis of a plain weave reinforced composite made of basalt fabrics bonded to a high performance epoxy resin L285 Havel is presented. This requires a thorough experimental program to be performed at the level of individual constituents as well as formulation of an efficient and reliable computational scheme. The rate-dependent behavior of the polymer matrix is examined first providing sufficient data needed in the calibration step of the generalized Leonov model, which in turn is adopted in numerical simulations. Missing elastic properties of basalt fibers are derived next using nanoindentation. A series of numerical tests is carried out at the level of yarns to promote the ability of a suitably modified Mori–Tanaka micromechanical model to accurately describe the nonlinear viscoelastic response of unidirectional fibrous composites. The efficiency of the Mori–Tanaka method is then exploited in the formulation of a coupled two scale computational scheme, while at the level of textile ply the finite element computational homogenization is assumed, the two-point averaging format of the Mori–Tanaka method is applied at the level of yarn to serve as a stress updater in place of another finite element model representing the yarn microstructure as typical of FE2 based multiscale approach. Several numerical simulations are presented to support the proposed modeling methodology.

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