Invariant operators and separation of residual stresses

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the equations of linear theory of elasticity in stresses for the threedimensional space. Solutions are decomposed into sums of stationary solutions not satisfying the compatibility condition (residual stresses) and nonstationary solutions satisfying the compatibility condition and hence represented through the displacements. The construction of this decomposition is reduced to solving a series of Poisson equations.

Original languageEnglish
Pages (from-to)521-526
Number of pages6
JournalJournal of Applied and Industrial Mathematics
Volume11
Issue number4
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • deviator
  • elasticity theory
  • residual stresses
  • Saint-Venant compatibility conditions
  • strain tensor
  • stress tensor

Fingerprint Dive into the research topics of 'Invariant operators and separation of residual stresses'. Together they form a unique fingerprint.

Cite this