A geometric exploration of stress in deformed liquid foams

作者：Evans Myfanwy E^*; Schroeder Turk Gerd E; Kraynik Andrew M

来源：Journal of Physics: Condensed Matter , 2017, 29(12): 124004.

DOI：10.1088/1361-648X/aa57c7

• rheology
• discrete materials
• Euler characteristic
• cellular structures
• random tessellations
• foam geometry and topology
• liquid foams

We explore an alternate way of looking at the rheological response of a yield stress fluid: using discrete geometry to probe the heterogeneous distribution of stress in soap froth. We present quasi-static, uniaxial, isochoric compression and extension of three-dimensional random monodisperse soap froth in periodic boundary conditions and examine the stress and geometry that result. The stress and shape anisotropy of individual cells is quantified by Q, a scalar measure derived from the interface tensor that gauges each cell's contribution to the global stress. Cumulatively, the spatial distribution of highly deformed cells allows us to examine how stress is internally distributed. The topology of highly deformed cells, how they arrange relative to one another in space, gives insight into the heterogeneous distribution of stress.

• 出版日期2017-3-29