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2018
Book Article
Titel
Generalized pressure-insensitive criteria
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 nin+=nin−=12 are valid.