On jets, almost symmetric tensors, and traction hyper-stresses

Reuven Segev, Jȩdrzej Śniatycki

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper considers the formulation of higher-order continuum mechanics on differentiable manifolds devoid of any metric or parallelism structure. For generalized velocities modeled as sections of some vector bundle, a variational k-th order hyper-stress is an object that acts on jets of generalized velocities to produce power densities. The traction hyper-stress is introduced as an object that induces hyper-traction fields on the boundaries of subbodies. Additional aspects of multilinear algebra relevant to the analysis of these objects are reviewed.

Original languageEnglish
Pages (from-to)101-124
Number of pages24
JournalMathematics and Mechanics of Complex Systems
Issue number2
StatePublished - 1 Jan 2018


  • Differential geometry
  • High-order continuum mechanics
  • Hyper-stress
  • Multilinear algebra
  • Traction
  • Vector bundle

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Numerical Analysis
  • Computational Mathematics


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