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Fig. 8 | Journal of Materials Science: Materials Theory

Fig. 8

From: Multiscale modeling of dislocations: combining peridynamics with gradient elasticity

Fig. 8

Construction of a hybrid dislocation model, Burgers vector \(b =\) 0.3nm, horizon of the peridynamic solution \(\delta _{\text {p}} =\) 3nm, the length scale of the ’inner’ gradient solution \(\varvec{\sigma }^{\text {g,b}}\) is \(l_{\text {b}} =\) 0.3nm, all other parameters are as in Fig. 7, shown is the behavior of the shear stress component \(\sigma _{xy}\) on the positive x-axis; left: fields \(\sigma ^{\text {p}}_{xy}\),\(\sigma ^{\text {g},\delta _{\text {p}}}_{xy}\) and \(\sigma ^{\text {g,b}}_{xy}\), right: \(\sigma ^{\text {g}}_{xy}, \sigma ^{\text {p}}_{xy}\) and \(\sigma _{xy}\); note that the sample surface is located at \(x =\) 200nm

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