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Quasicontinuum analysis of interaction between screw dislocation and coherent twin boundary

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QUASICONTINUUM ANALYSIS OF INTERACTION BETWEEN SCREW DISLOCATION AND COHERENT TWIN BOUNDARY

TRAN H-S.1, TUMMALA H.2, DUCHENE L.1, PERON-LÜHRS V.1, FIVEL M.2 , HABRAKEN A. M.1,3

1

Dpt ArGEnCo, MS²F- MSM, University of Liège Allée de la Découverte 9, 4000 Liège, Belgium

E-mail: hstran@ulg.ac.be; l.duchene@ulg.ac.be; vincent.peron@siemens.com; anne.habraken@ulg.ac.be

http://www.facsa.ulg.ac.be/cms/c_683942/en/materials-and-solid-mechanics-msm 2

SIMaP-GPM2 INP Grenoble 101 Rue de la Physique BP46 38402 St Martin d'Heres cedex E-mail : Hareesh.Tummala@simap.grenoble-inp.fr; Marc.Fivel@grenoble-inp.fr

http://www.numodis.com

³F.R.S. FNRS Fund for Scientific Research – FNRS

http://www.fnrs.be/

Key words: Twin boundary, Dislocation, Nano-mechanics, Quasi-Continuum method

Abstract. The interaction between pure screw dislocation with dislocation line directions lying parallel to the twin plane and Coherent Twin Boundary Σ3 of copper has been studied using Quasi-Continuum method. The coherent twin boundary provides high barrier to slip transmission. The dislocation pile-up modifies the stress field at its intersection with the grain boundary. We introduce a methodology to calculate the stress barriers during slip–GB interaction. Screw dislocation approaching the boundary from one side may either propagate into the adjacent twin grain by cutting through the twin boundary. Quantitative estimation of critical stress for transmission phenomena is performed by using virial stress. The mechanism and critical stress obtained were in line with the literature [1-4]. Such information can be used as input for Discrete Dislocation Dynamics models (see Figure 1).

Figure 1 : Interaction between screw dislocation and Twin Boundary (a) virial stress field by Quasi Continuum method, (b) DDD simulation

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Tran H-S., Tummala H., Duchêne L., Péron-Lührs V., Fivel M. , Habraken A. M.

2 REFERENCE LIST

[1] Sangid MD, Ezaz T, Sehitoglu H, Robertson IM. Energy of slip transmission and nucleation at grain boundaries. Acta Materialia 2011 Jan;59(1):283-96.

[2] Deng C, Sansoz F. Fundamental differences in the plasticity of periodically twinned nanowires in Au, Ag, Al, Cu, Pb and Ni. Acta Materialia 2009 Dec;57(20):6090-101.

[3] Tadmor EB, Ortiz M, Phillips R. Quasicontinuum analysis of defects in solids. Philosophical Magazine A 1996 Jun 1;73(6):1529-63.

[4] Wu ZX, Zhang YW, Srolovitz DJ. Dislocation twin interaction mechanisms for ultrahigh strength and ductility in nanotwinned metals. Acta Materialia 2009 Sep;57(15):4508-18.

Figure

Figure 1 : Interaction between screw dislocation and Twin Boundary (a) virial stress field by  Quasi Continuum method, (b) DDD simulation

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