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The applicability of Born’s criterion for the assessment of structural stability of perfect crystals under mechanical loading is examined for the case of face-centered-cubic (fcc) crystals subjected to uniaxial  loading. The analysis is based on the results of lattice-statics calculations and isostress molecular-dynamics simulations of the mechanical response of model fcc metallic crystals to applied loading. Born’s criterion is found to provide a good predictor of loss of stability under tension, in conjunction with “universal” characteristics of the strain dependent elastic moduli.