Journal
JOURNAL OF ELASTICITY
Volume 110, Issue 1, Pages 111-116Publisher
SPRINGER
DOI: 10.1007/s10659-012-9384-3
Keywords
Torsion; Prismatic body; Sandpile analogy; Minkowski spacetime
Funding
- Hungarian National Foundation (OTKA) [K104601]
- Science and Technology Facilities Council [ST/I002006/1] Funding Source: researchfish
- STFC [ST/I002006/1] Funding Source: UKRI
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A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl's linear soap-film approximation and Nadai's sand-pile model. Geometrically Prandtl's soap film and Nadai's wavefront are unified into a single smooth surface of constant mean curvature in three-dimensional Minkowski spacetime.
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