Hyper-stresses in k -Jet Field Theories

Reuven Segev, Jędrzej Śniatycki

Research output: Contribution to journalArticlepeer-review

Abstract

For high-order continuum mechanics and classical field theories configurations are modeled as sections of general fiber bundles and generalized velocities are modeled as variations thereof. Smooth stress fields are considered and it is shown that three distinct mathematical stress objects play the roles of the traditional stress tensor of continuum mechanics in Euclidean spaces. These objects are referred to as the variational hyper-stress, the traction hyper-stress and the non-holonomic stress. The properties of these three stress objects and the relations between them are studied.

Original languageEnglish
Pages (from-to)457-483
Number of pages27
JournalJournal of Elasticity
Volume135
Issue number1-2
DOIs
StatePublished - 15 Apr 2019

Keywords

  • Classical field theories
  • Continuum mechanics
  • Fiber bundle
  • High order continuum mechanics
  • Hyper-stress

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering

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