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Generalized pressure-insensitive criteria

 
: Kolupaev, V.A.

:

Kolupaev, Vladimir, A.:
Equivalent stress concept for limit state analysis
Cham: Springer International Publishing, 2018 (Advanced structured materials 86)
ISBN: 978-3-319-73048-6 (Print)
ISBN: 978-3-319-73049-3 (Online)
ISBN: 3-319-73048-7
DOI: 10.1007/978-3-319-73049-3
pp.159-193
English
Book Article
Fraunhofer LBF ()

Abstract
Bridgman’s observation that the hydrostatic pressure seems to have no effect on the yield behavior of metals (Bridgman in J Appl Phys 18(2):246–258, 1947 [1], Bridgman in Studies in large plastic flow and fracture with special emphasis on the effects of hydrostatic pressure. McGraw-Hill, New York, 1952 [2]) led engineers to develop a plasticity theory that subtracts the mean stress from the principal stresses (Wilson in J Appl Mech 69(1):63–68, 2002 [3]). The criteria are written in the invariants of the stress deviator ( 1.28) or ( 1.29) and hence are cylindrical or prismatic surfaces aligned along the hydrostatic axis in the principal stress space. They do not restrict the hydrostatic stresses. The equalities ( 5.2) and the equation νin+=νin−=12 are valid.

: http://publica.fraunhofer.de/documents/N-515943.html