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The formation of filamentary voids in solids. (English) Zbl 0761.73020
Summary: We show that solutions which create spherical voids are unstable relative to the formation of long, thin voids that point in the radial direction, for a large class of nonlinearly elastic materials. We compare sufficient conditions for the formation of such “filamentary voids” to criteria for crazing in glassy polymers.

MSC:
74B20 Nonlinear elasticity
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
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