Yield criteria for quasibrittle and frictional materials: a generalization to surfaces with corners

Simple item page
dc.creatorPiccolroaz, Andrea
dc.creatorBigoni, Davide
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:08:28Z
dc.date.available2026-07-07T13:08:28Z
dc.descriptionConvexity of a yield function (or phase-transformation function) and its relations to convexity of the corresponding yield surface (or phase-transformation surface) is essential to the invention, definition and comparison with experiments of new yield (or phase-transformation) criteria. This issue was previously addressed only under the hypothesis of smoothness of the surface, but yield surfaces with corners (for instance, the Hill, Tresca or Coulomb-Mohr yield criteria) are known to be of fundamental importance in plasticity theory. The generalization of a proposition relating convexity of the function and the corresponding surface to nonsmooth yield and phase-transformation surfaces is provided in this paper, together with the (necessary to the proof) extension of a theorem on nonsmooth elastic potential functions. While the former of these generalizations is crucial for yield and phase-transformation condition, the latter may find applications for potential energy functions describing phase-transforming materials, or materials with discontinuous locking in tension, or contact of a body with a discrete elastic/frictional support.
dc.identifierhttps://arxiv.org/abs/0904.3869
dc.identifierhttp://arxiv.org/abs/0904.3869
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228429
dc.subjectMathematical Physics
dc.titleYield criteria for quasibrittle and frictional materials: a generalization to surfaces with corners
dc.typetext

Files

Collections

arXiv