Multiaxial ratcheting evaluation of functionally graded cylindrical shell by means of Ohno–Wang’s type models


In the present paper, the ratcheting responses of functionally graded (FG) pipe by means of nonlinear kinematic hardening rules of the Ohno–Wang (O–W), McDowell, Jiang–Sehitoglu (J–S) and Chen–Jiao–Kim (C–J–K) models are investigated. The FG pipe is considered to be subjected to a broad class of non-proportional/proportional with different loading types including tension–torsion, tension/thermal–internal pressure with different loading sequences and directions. In the current constitutive models of FG pipe, not only the physical and mechanical properties are variables but also the coefficients of the kinematic hardening rules vary as a power law through thickness. An implicit integration scheme implemented within user subroutine UMAT in ABAQUS/standard is presented for the relatively complicated constitutive models. Comparing with the novel experiments and available results in the literature, the predicted results by the proposed numerical method are demonstrated to be reliable. Results reveal the significant influences of the adopted hardening rules incorporated in the constitutive model and also FG inhomogeneity constant on the multiaxial ratcheting responses of FG pipe.

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Correspondence to Aref Mehditabar.

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Mehditabar, A., Rahimi, G.H. Multiaxial ratcheting evaluation of functionally graded cylindrical shell by means of Ohno–Wang’s type models. Engineering with Computers 37, 609–622 (2021).

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  • Functionally graded materials
  • Ratcheting strain
  • Non-proportional loading
  • Kinematic hardenings