Anisotropy of the elastic and strength properties of cold-rolled copper sheets
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The anisotropy of Young's modulus of copper sheet subjected to forward cold rolling to a reduction of 70% is determined primarily by the fourth harmonic of the expansion of the modulus curve into a Fourier series. Both the amplitudes of the second and of the fourth harmonics introduce a substantial contribution into the anisotropy of the tensile and yield strengths.
Harmonic analysis of the anisotropy of mechanical properties makes it possible to choose the conditions for a directed change in the character of the anisotropy of Young's modulus and the tensile and yield strengths in copper sheets.
Cross rolling to medium degrees of reduction leads to a change in the character of anisotropy of mechanical properties in copper sheets and, consequently, to a change in the contributions of the amplitudes of the harmonics of the corresponding Fourier series.
Cross rolling to high degrees of reduction leads to the formation of an anisotropy of properties similar to the original but displaced relative to the initial rolling direction by an angle of π/4.
KeywordsMechanical Property Anisotropy Yield Strength Harmonic Analysis Fourier Series
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