Adaptive concurrent multi-level model for multi-scale analysis of ductile fracture in heterogeneous aluminum alloys

作者：Ghosh Somnath^*; Paquet Daniel

来源：Mechanics of Materials, 2013, 65: 12-34.

DOI：10.1016/j.mechmat.2013.05.011

• Ductile fracture
• Heterogeneous aluminum alloys
• Adaptive multi-scale model
• LE-VCFEM
• Homogenization based plasticity-damage (HCPD) model

This paper creates a novel adaptive multi-level modeling framework for rate-dependent ductile fracture of heterogeneous aluminum alloys with non-uniform microstructures. The microstructure of aluminum alloys is characterized by a dispersion of brittle heterogeneities such as silicon and intermetallics in a ductile aluminum matrix. These microstructural heterogeneities affect their failure properties like ductility in an adverse manner. The multi-level model invokes two-way coupling, viz, homogenization for upscaled constitutive modeling, and top-down scale-transition in regions of localization and damage. Adaptivity is necessary for incorporating continuous changes in the computational model as a consequence of evolving microstructural deformation and damage. The macroscopic finite element analysis in regions of homogeneity incorporates homogenization-based continuum rate-dependent plasticity-damage (HCPD) models. Transcending scales is required in regions of high macroscopic gradients caused by underlying localized plasticity and damage. Complete microscopic analysis using the LE-VCFEM is conducted in these regions, which follow the growth of microscopic voids and cracking to cause local ductile fracture. The macroscopic and microscopic simulations are done concurrently in a coupled manner. Physics-based level change criteria are developed to improve the accuracy and efficiency of the model. Numerical simulations are conducted for validations and ductile fracture in a real microstructure is demonstrated.

• 出版日期2013-10