ON THE ESTIMATION OF SPATIAL AVERAGING VOLUME FOR DETERMINING STRESS USING ATOMISTIC METHODS

M.H. Ulz, K.K. Mandadapu and P. Papadopoulos
Modelling Simul. Mat. Sci. Eng., 21, pp. 015010, (2013)



Abstract

The estimation of stress at a continuum point from the atomistic scale requires volume averaging over a region that contains this point. A hypothesis is put forth to obtain a lower bound for the size of this region based on an analogy to the Ising model. This hypothesis is tested on copper using two classical elasticity problems.


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