Prediction of anisotropic material behavior based on multiresolution continuum mechanics in consideration of a characteristic length scale
Dockjin Lee, Yoon-Suk Chang, Jae-Boong Choi* and Moon-Ki Kim*
The Journal of Mechanical Science and Technology, vol. 26, no. 9, pp.2863-2868, 2012
Abstract : New advanced materials have received more attention from many scientists and engineers because of their outstanding chemical, electrical,
thermal, optical, and mechanical properties. Since the design of advanced material by experiments requires high cost and time,
numerical approaches have always been of great interest. In this paper, finite element analysis of anisotropic material behavior has been
carried out based on a multiresolution continuum theory. Gurson-Tvergaard-Needleman (GTN) damage model has been applied as a
constitutive model at macroscale. Effects of plastic anisotropy on deformation behavior are assessed using Hill¡¯s 48 yield function for
anisotropic material and von Mises yield function for isotropic material, respectively. The material parameters for both isotropic and
anisotropic damage models have systematically been determined from microstructure through unit cell modeling. The newly proposed
linear approximation of local velocity gradient resolved the underdetermined problem of the previous homogenization process. Anisotropic
material behaviors of a tensile specimen have been investigated by the proposed multiresolution continuum theory.
Keyword : Anisotropic GTN damage model; Multiresolution continuum theory (MRCT); Size effects; Unit cell modeling |