Lattice Theory for the Existence and Stability of Tensile Cracks
ORAL
Abstract
We obtained the most general analytical solution to date for crack propagation in a hexagonal lattice under tensile loading. For non-central forces, we found expressions for surface wave speeds that differ from prior literature. We compiled together 160,000 solutions to form a complete catalog of cracks that demonstrates how a material's elastic and dissipative properties dictate the extent to which surface wave speeds limit crack speeds and when cracks are stable or begin branching or wiggling. Our results are consistent with the qualitative features of fracture in many materials.
*Support from the National Science Foundation under grants DMR 1810196 and DMR 2401668 is gratefully acknowledged. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
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Publication: Lattice Theory for Existence and Stability of Tensile Cracks (planned)
Presenters
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Jacqueline R Jensen
- University of Texas at Austin