TY - CHAP

T1 - Non-local modeling of size effects in amorphous metals

AU - Klusemann, Benjamin

AU - Xiao, Tao

N1 - Conference code: 85

PY - 2014

Y1 - 2014

N2 - The present contribution is concerned with the modeling of lengthscale-dependent behavior of submicron sized amorphous metal. As these samples reach the size of a few hundred nanometers, the main deformation mechanism changes from catastrophic to a stable shear localization. For the underlying model description, we resort to a thermodynamically consistent approach. Klusemann & Bargmann [1] presented results for a small strain formulation which was extended recently to finite strains by Bargmann et al. [2]. The non-local material model is formulated with a dual mixed finite element approach. It is shown that the proposed finite deformation model is well suited to predict the stable shear localization process in submicron-sized metallic glasses and its size effect. The model confirms the experimental observation that with decreasing sample size the shear localization process becomes stable and delayed. The finite deformation model is able to predict the failure process in submicron-sized metallic glasses as well as the delay of it with decreasing sample size.

AB - The present contribution is concerned with the modeling of lengthscale-dependent behavior of submicron sized amorphous metal. As these samples reach the size of a few hundred nanometers, the main deformation mechanism changes from catastrophic to a stable shear localization. For the underlying model description, we resort to a thermodynamically consistent approach. Klusemann & Bargmann [1] presented results for a small strain formulation which was extended recently to finite strains by Bargmann et al. [2]. The non-local material model is formulated with a dual mixed finite element approach. It is shown that the proposed finite deformation model is well suited to predict the stable shear localization process in submicron-sized metallic glasses and its size effect. The model confirms the experimental observation that with decreasing sample size the shear localization process becomes stable and delayed. The finite deformation model is able to predict the failure process in submicron-sized metallic glasses as well as the delay of it with decreasing sample size.

KW - Engineering

U2 - 10.1002/pamm.201410252

DO - 10.1002/pamm.201410252

M3 - Article in conference proceedings

VL - 14

T3 - Proceedings in Applied Mathematics and Mechanics

SP - 527

EP - 528

BT - PAMM Proceedings in Aplied Mathematics and Mechanics

A2 - Steinmann, P.

A2 - Leugering, G.

PB - Wiley-Blackwell Publishing, Inc.

T2 - 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM

Y2 - 10 March 2014 through 14 March 2014

ER -