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Theory based benchmarking of the blended force based quasicontinuum method

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Figure

Figure 1. (a) The absolute critical strain errors for a 1D uniform expansion. Wemodels, respectively.(b) The absolute critical strain errors of quintic and cubic blending functions withNset N = 40, 000, ∆γ = 1/N 2 where ∆γ is the strain increment used for
Figure 2. (a) The 12 neighboring bonds of each atom. (b) The periodic referencecell L := L ∩ Ω, the atomistic region Ωa := Hex(ϵRa), and the blending regionΩb := Hex(ϵRb) \ Ωa
Figure 3. (a) The absolute critical strain errors for the 2D uniform expansion.asymptote
Figure 4. The relative critical strain error for the y-directional shear deformation.γa and γbqcf are the critical strains for the atomistic and B-QCF models respectively.For N = 200, γa ≈ 0.1813
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