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The flow-to-fracture transition, such as slow earthquakes and fast rupture of plate boundary earthquakes, and brittle and ductile fracturing of magma in volcanic eruptions, is an important and unexplored phenomenon in solid earth science. This presentation introduces the recent multi-disciplinary project in volcanology on the flow and fracture of complex fluids. In volcanology, the glass transition is considered to appear at high strain rates and control the brittle fracture of magma. In physics, on the other hand, the glass transition is more frequently associated with the appearance of yield strength at low strain rates. The project aims to bridge this discrepancy and establish the fracture mechanics for complex fluids. We experimentally show the contrasting flow/fracture behaviors of Maxwell-type viscoelastic fluid, Bingham-type yield-strength fluid, Newtonian viscous fluids, and those with solid particles. The experiments …