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C. Dharmendra,K. P. Rao,Y. V. R. K. Prasad,N. Hort,K. U. Kainer 대한금속·재료학회 2015 METALS AND MATERIALS International Vol.21 No.1
The effect of homogenization on the hot deformation behavior and texture evolution of Mg-3Sn-2Ca (TX32)alloy is investigated. The cast-homogenized alloy samples were hot compressed in the temperature and strainrate ranges of 300-500 °C and 0.0003-10 s-1,respectively, and a processing map has been developed by using theflow stress data. The map revealed two dynamic recrystallization (DRX) domains with a peak efficiency of 44%at 360 °C/0.0003 s-1(Domain 1) and 43% at 485 ○C/0.1 s-1(Domain 2). When compared with the map for as-castcondition, it is observed that both the domains moved towards higher temperatures although the shift ofDomain 1 is more noticeable. The apparent activation energy values in the two domains and the regime of flowinstability are nearly unchanged by homogenization, suggesting that Mg2Ca and CaMgSn particles in themicrostructure are thermally stable. Specimens deformed under conditions in Domain 1 have high Schmid factorsfor {0001} <1120> basal slip and {1100} <1120> prismatic slip, while in Domain 2 the deformation progresseddue to {112 2} <112 3> second-order pyramidal slip.
SOME MODULAR RELATIONS BETWEEN RAMANUJAN’S FUNCTION V(q) AND V(qn)
B. N. DHARMENDRA,M. C. MAHESH KUMAR 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.3
In his ‘lost’ notebook, S. Ramanujan introduced the parameter k(q) :=R(q)R2(q2) and v(q) := R2(q½)R(q)/R(q2) related to the Rogers-Ramanujan continued fraction R(q). In this paper, we establish some new modular relations connecting k(q) with v(qn) and v(q) with v(qn) for n = 6, 8 and 10.