Three-dimensional FE2 method for the simulation of non-linear, rate-dependent response of composite structures

Abstract

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractIn this paper, a two scale Finite Element method (FE 2 ), is presented to predict the non-linear macroscopic response of 3D composite structures with periodic microstructure that exhibit a timedependent response. The sensitivity to the strain rate requires an homogenization scheme to bridge the scales between the macroscopic boundary conditions applied and the local evaluation of the strain rate. In the present work, the effective response of composite materials where the matrix has a local elasto-viscoplastic behavior with ductile damage are analyzed using periodic homog- investigates the macroscopic response of a complex viscoplastic composite structure with ductile damage and is compared with the mean field Mori-Tanaka method. Finally, 3D corner structure consisting of periodically aligned short fibres composite is analysed under complex loading path.These numerical simulations illustrate the capabilities of the FE 2 strategy under non-linear regime.when time dependent constitutive models describe the response of the constituents

Tensile failure prediction of a short fiber or particle composite

“…However, most of such two-step FE (FE 2 ) approaches estimate a localized matrix damage in the RVE by a homogenization (i.e., volume averaged) method. 18,25 The stress evaluation at the micro scale of a FE 2 approach is equivalent to that of a homogenization method.…”

Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations

“…Considering the pure mechanical response of composites, numerous multiscale models for nonlinear materials have been proposed in the literature Suquet (1987); Ponte-Castañeda (1991); Terada and Kikuchi (2001); Meraghni et al (2002); Yu and Fish (2002); Aboudi et al (2003); Aboudi (2004); Chaboche et al (2005); Asada and Ohno (2007); Mercier and Molinari (2009); Khatam and Pindera (2010); Kruch and Chaboche (2011) ;Brenner and Suquet (2013); Mercier et al (2012) ;Chatzigeorgiou et al (2015); Charalambakis et al (2018). In the study of periodic composite materials, the FE 2 technique appears to be an appropriate solution strategy to identify the macroscopic response of the structure, accounting for all the mechanisms observed in the heterogeneous microstructure (Feyel and Chaboche, 2000;Nezamabadi et al, 2010;Asada and Ohno, 2007;Tikarrouchine et al, 2018;Xu et al, 2018). However, very few works have been M A N U S C R I P T dedicated to thermo-mechanical coupling in the framework of FE 2 strategy.…”

“…2 computation of fully coupled thermo-mechanical problemTo predict the macroscopic behavior of a composite structure while taking into account the effect of the microstructure and the thermo-mechanical couplings, a homogenization scheme within the framework of FE 2 technique has been implemented. The framework extends the approach developed inTikarrouchine et al (2018), by accounting the thermal part of the homogenization problem, as discussed in the previous section. At the macroscopic level the material is assumed as a homogenized medium subjected to appropriate thermo-mechanical boundary conditions.…”

Systematic study of homogenization and the utility of circular simplified representative volume element

“…Despite providing useful information, the analytical homogenization approach requires certain simplifications to the microstructure, such as its geometry and distribution pattern. By contrast, the computational homogenization method is capable of dealing with such complexities; thus, it has been widely adopted in the past decades [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. For detailed reviews on computational homogenization, see Saeb et al [56], Geers et al [57], and Charalambakis et al [58].…”