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A.M. Lokoshchenko, "Long-Term Strength of Metals in Complex Stress State (a Survey)," Mech. Solids. 47 (3), 357-372 (2012)
Year 2012 Volume 47 Number 3 Pages 357-372
DOI 10.3103/S0025654412030090
Title Long-Term Strength of Metals in Complex Stress State (a Survey)
Author(s) A.M. Lokoshchenko (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, loko@imec.msu.ru)
Abstract An analytic survey of experimental data and theoretical approaches characterizing the long-term strength of metals in complex stress state is given. In Sections 2 and 3, the results of plane stress tests (with opposite and equal signs of the nonzero principal stresses, respectively) are analyzed. In Section 4, the results of inhomogeneous stress tests (thick-walled tubes under the action of internal pressures and tensile forces) are considered. All known experimental data (35 test series) are analyzed by a criterion approach. An equivalent stress σe is introduced as a characteristic of the stress state. Attention is mainly paid to the dependence of σe on the principal stresses. Statistical methods are used to obtain an expression for σe, which can be used to study various types of the complex stress state. It is shown that for the long-term strength criterion one can use the power or power-fractional dependence of the time to rupture on the equivalent stress. The methods proposed to describe the test results give a good correspondence between the experimental and theoretical values of the time to rupture. In Section 5, the possibilities of complicating the expressions for σe by using additional material constants are considered.
Keywords long-term strength, metals, complex stress state, criteria, equivalent stresses, extension, torsion, internal pressure
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Received 13 November 2009
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