会议专题

Study of Ductile-Brittle transition in Fiber Bundle Model Under Mean-Field Approximation

  Defects play crucial role in the process of nucleation and propagation of fracture.We study fracture as a non-equilibrium statistical mechanical system with a threshold activated extremal dynamics.The dispersion δ in the breaking thresholds shows a transition at δ-δc.For δ>δc,the fracture or failure takes place sharply at a certain applied stress or voltage.Forδ>δc,the fracture or failure takes place gradually with increasing stress or voltage,leading to a non-linear region in the stress-strain or current-voltage curve prior to failure.We discuss the transition point For δc from the point of view of ductile-brittle transition.We present analytical results on fiber bundle model and numerical results on two dimensional random resistor network model.

Ductile-brittle transition Threshold activated dynamics Fiber bundle model Random resistor network model

Subhadeep Roy Purusattam Ray

The Institute of Mathematical Sciences,Taramani,CIT Campus,Chennai 600113,Tamil Nadu,India

国际会议

第13届国际断裂大会(ICF2013)

北京

英文

1-12

2013-06-16(万方平台首次上网日期,不代表论文的发表时间)