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Convergence Proving of the Theoretical & True Elongation Inequalities by Derivation and Analogy
DOI:
https://doi.org/10.30564/jmmr.v3i1.1757Abstract
According to LNƐ, theoretical & true elongation of tensile, and by adopting the increasing function of formulas with the derivation and analogy methods, the elongation formula of 0<(1+ε)1/ε<e & 0<ε1/ε<1& four convergences are deduced too when ε >1 and 0<ε<1.The inequalities of LNε <ε and LN(1+ε)<ε and LN(1+ε)> LNε are deduced if ε>1 and 0<ε<1 in material dynamics. Finally the conclusions of LNε <ε and LNε<LN(1+ε)< ε are deduced together if ε>1 and 0<ε<1.
Keywords:
0<ε<1; Ɛ > 1; Analysis; Derivation and analogy; Elongation; Inequality convergence; Proving; Theoretical and true elongation; LNε <ε; LNε<LN(1 ε)< ε; 0<(1 ε)1/ε<e and 0<ε1/ε<1References
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[3] Xu Run Hur Boyong, Lim Sugun, Kim Younwook. Tensile test of the theory of shrinkage rate and elongation of the compare and analysis [J]. Chinese Science and Technology Periodical Database (Full Version) of Natural Science, 2018, 9 (1) : 95 ~ 97.