“…Magma fragmentation (e.g. Sparks, 1978;Alidibirov and Dingwell, 1996;Dingwell, 1996;Mangan and Cashman, 1996;Mader, 1998;Papale, 1999;Namiki and Manga, 2008;Gonnermann and Manga, 2012;Gonnermann, 2015;Hughes et al, 2017) may involve brittle fragmentation, inertia-driven fragmentation, water-magma interaction, or fragmentation by shear, and such processes predominantly depend on the magma rheology. Thus, brittle failure can occur in viscosities N 10 6 Pa s (Papale, 1999;Namiki and Manga, 2008) or in a fragmentation threshold of 10 8 to 10 9 Pa·s (Papale, 1999), either because: (1) it hinders bubble growth, leading to large tensile stress within the melt surrounding bubbles (Sparks et al, 1994;Toramaru, 1995;Koyaguchi and Mitani, 2005); or (2) because the deformation rate exceeds the inverse relaxation time of the melt (Webb and Dingwell, 1990;Papale, 1999;Gonnermann and Manga, 2003).…”