Efficiency of the Tresca yield criterion in modeling of annular plates with rigid constraint

Abstract

• Tresca and Mises yield criteria are compared based on the mathematical modeling . • For loads up to critical (low-to-medium), the Tresca yield criterion is indicated. • For strain and failure analyses, the Mises yield criterion is preferred. • Decohesive carrying capacity does not depend neither on geometry nor on Poisson ratio . • Results can be used in commercial numerical codes for various engineering applications. Correct prediction of the load carrying capacity and initiation of failure of compound annular plates (with or without inner solid disk) embedded into a rigid container are crucial for achieving their optimal structural design and reliable service conditions. In this paper an analytical study devoted to mathematically and physically rigorous stress/strain analysis of such structures has been performed. The decohesive carrying capacity criterion based on the radial strains is applied and discussed. The material of the plate is considered to be elastic/perfectly-plastic, and the inner insert is modeled as purely elastic. Two principle engineering criteria for material yielding, namely, the Tresca and the Mises, are employed, discussed and compared. The range of validity of each criterion is analyzed, and the choice of the suitable criterion for particular engineering applications is suggested. The advantages of the Tresca yield criterion both in mathematical modeling and engineering design are outlined.