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WagnerJVGR05.pdf

WagnerJVGR05.pdf

M'' [GPa] M'' [GPa] 10 1

M'' [GPa] M'' [GPa] 10 1 10 1 Maxwell KWW, β=0.5 M 0=70GPa RAB QUI ATS JAL DYR LIP MIL VUL YEL 0,1 1 10 1 2 3 4 M' [GPa] 5 6 7 JAL 0.08 0.7 0.8 10-3 10-2 10-1 100 101 0,1 M' [GPa] 1.7 3.4 Fig. 11. Asymptotic behavior for high temperatures and low frequencies in the representation of the complex modulus M⋆ in the Gaussian-plane (top) for the investigated volcanic glasses and (bottom) for starting glass (1: Jenit I, 3: JenitII) and ceramic (2: Jenit I, 4: JenitII) of machinable glass ceramic (Wagner et al. (2001)), 5: 16Na2O − 10CaO − 74SiO2, 6: 16Ka2O − 10CaO − 74SiO2, 7: cordierite-glass which shows surface crystallization effects (Wagner (2004)) in comparison to the 8: JAL-obsidian. with the background Q −1 b , a constant Q −1 0,j and the relaxation times τj = τ0,j exp 17.7 � � Ea,j . (29) RT 24

M'' [GPa] M'' [GPa] 1,0 0,9 0,8 0,7 0,6 0,5 0,4 0,3 β β' 0,2 0 100 200 300 400 500 600 1,0 0,9 0,8 0,7 0,6 0,5 0,4 0,3 T [˚C] β β' 0,2 -900 -800 -700 -600 -500 -400 -300 -200 T-T m [˚C] QUI LIP DYR MIL VUL YEL RAB JAL ATS QUI LIP DYR MIL VUL YEL RAB JAL ATS Fig. 12. Loss modulus M ′′ as a function of (top) temperature and (bottom) reduced temperature T − Tm in the temperature range T < Tg. The volcanic glasses can be likewise divided according to the α process into different groups (Fig. 13). By scaling the temperature axes with the temperature of maxima Tα a master curve for the large group of melts (MIL, V UL, Y EL, JAL and ATS) can be constructed, which is an indication for similar rheologic characteristics of these obsidians. Deviations from the general trend show the samples DY R and LIP. The DY R-obsidian has with δα = 84 ◦ C a substantially smaller half width and steeper slopes of the loss modulus flanks 25

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