Homogenization of elastic–plastic periodic materials by FVDAM and FEM approaches – An assessment

A Model for Homogenization of Linear Viscoelastic Periodic Composite Materials with Imperfect Interface

“…However, most of these models are applicable to linear elastic two-phase composites. Homogenization models for nonlinear multiphase composites are less developed and currently have been a subject of significant research (Doghri and Tinel, 2005, Khatam and Pindera, 2009, Cavalcante et al, 2011.…”

“…In that parametric version, the heterogeneous material microstructure is discretized using quadrilateral subvolumes which are mapped into corresponding reference square subvolumes. This mapping has been incorporated into the standard finite-volume direct averaging micromechanics (FVDAM) model and applied successfully to solve several thermal and mechanical homogenization problems (Gattu et al, 2008, Katham and Pindera, 2009, Cavalcante et al, 2011, Cavalcante and Marques, 2014, Escarpini Filho and Marques, 2014. To improve some local interfacial conformability shortcomings between adjacent subvolumes exhibited by the structural version of the parametric finite-volume theory, constructed a higher order formulation on rectangular subdomains named generalized finite-volume theory.…”

A model for evaluation of effective thermal conductivity of periodic composites with poorly conducting interfaces

“…The parametric finite-volume theory already has been incorporated into the FVDAM's framework and successfully applied to the homogenization of elastic and elastic-plastic periodic composites materials with perfect interfaces [9][10][11] . In the parametric finite-volume formulation the actual material microstructure is discretized into quadrilateral subvolumes whose geometry and location are identified by their node coordinates.…”

“…In that parametric version the heterogeneous material microstructure is discretized using quadrilateral subvolumes which are mapped into corresponding reference square subvolumes. This mapping has been incorporated into the standard finite-volume direct averaging micromechanics (FVDAM) model and applied successfully to solve several mechanical homogenization problems [9][10][11] . The purpose of this paper is to present a new micromechanical extension of the homogenized parametric finite-volume theory for evaluation of effective thermal conductivities of periodic unidirectional fiber reinforced …”

CZM-based Finite-Volume Homogenization and Optimization of Periodic Composites

“…Nonetheless, the subvolume average values of both traction and non-traction stress components are reliable (Cavalcante et al, 2008(Cavalcante et al, , 2011, as reported by Katham and Pindera in their papers. To overcome the above shortcomings of the standard parametric FVDAM theory, a generalized finite-volume theory has been developed by Cavalcante and Pindera (2012a, b) based on rectangular analysis subdomain for elasticity analysis that employs a higher-order displacement field representation within individual subvolumes of a discretized analysis domain, in contrast with the second-order expansion employed in the 0th order theory.…”