A micromechanics-based incremental damage theory of bulk metallic glass matrix composites

Abstract

Based on the Mori-Tanaka's mean field concept, a micromechanics-based incremental damage theory was developed to investigate the mechanical performance of bulk metallic glass matrix composites under tension. Firstly, the shear band was considered to be a microcrack, and therefore a spherical fictitious inclusion-containing microcracks and the surrounding bulk metallic glass matrix were constructed. Based on the equivalence between the effective elasticity of microcrack-containing media and porous material, the volume fraction of the fictitious inclusion could be determined by the density of microcracks generated during a strain increment. The stress-based Weibull probability distribution function and percolation theory were applied to describe the microcrack evolution that results in the progressive damaging of bulk metallic glass composites. Based on the present model, the impact of shear bands on the tensile ductility was discussed for the composites with various microstructures. The predictions are in fairly good agreement with the experimental data, demonstrating that the developed analytical model is capable of successfully capturing the main features, such as yield strength, strain hardening, and stress softening elongation, of particle-toughened bulk metallic glass. The main conclusions will shed some light on optimizing the microstructures in effectively improving the tensile ductility of bulk metallic glass composites.

Damage and perforation resistance behaviors induced by projectile impact load on bonding-patch repaired and scarf-patch repaired composite laminates

“…The utility of composite materials has significantly increased in various industries, especially in modern military and civil aircraft, due to their excellent properties such as light weight, high strength to weight ratio and high capacity to absorb kinetic energy (Bakhshan et al, 2018;Guo et al, 2014;Hallal and Younes, 2016;Hassanifard and Feyzi, 2017;Jiang et al, 2017Jiang et al, , 2016Li et al, 2017;Mizuno, 2017;Okabe et al, 2018;Park et al, 2017;Pupurs and Varna, 2017;Ren et al, 2018;Tong and Xu, 2017;Wu and Ju, 2017;Zhu et al, 2017). However, inherently brittle nature of composites has low resistance to impact damage caused by threats like bird strike, tool strike, etc., during their service life Balasubramani et al, 2013;Bensadoun et al, 2017;Bienias´and Jakubczak, 2017;Mei et al, 2017;Mohagheghian et al, 2016;Singh et al, 2015;Yang and Chen, 2017).…”

Interaction between ductile damage and texture evolution in finite polycrystalline elastoplasticity

“…Various micromechanical models were developed in order to describe the evolution of highly heterogeneous materials as metallic polycrystals or composites (Bornert et al, 2001;Boudifa et al, 2009;Cailletaud and Pilvin, 1994;Chen et al, 2017;Gawad et al, 2013;Goidescu et al, 2015;Hfaiedh et al, 2009;Jiang et al, 2016;Ju and Wu, 2016;Nasser, 2004;Raabe, 1998;Ren et al, 2017;Saanouni, 2012;Soho et al, 2017;Suquet, 1997;Van Houtte et al, 2012;Wu and Ju, 2017;Zhu et al, 2015Zhu et al, , 2016. The finite element method (FEM) combined with crystal plasticity (CP) modeling (CPFEM) was used by some authors to study the deformation texture development in polycrystalline aggregates, whereas some others used CPFEM to describe heterogeneous local (intra and intergranular) strain and rotation fields during monotonic loading paths as well as strain localization after several loading path sequences.…”

Mesoscopic Constitutive Model for Predicting Failure of Bulk Metallic Glass Composites Based on the Free-Volume Model

“…Rao et al [ 6 ] proposed a new meso-mechanical constitutive model to predict the monotonic tensile/compressive deformation of BMGCs with toughening phases, but their analytical model has very complicated formulas. Jiang et al [ 7 , 8 , 9 , 10 ] regarded the shear bands as micro-cracks, established their equivalence relation, and finally developed two micromechanics models based on the incremental tangent stiffness and secant modulus, respectively.…”