A crystal plasticity-based constitutive model for ratchetting of cyclic hardening polycrystalline metals
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A crystal plasticity‑based constitutive model for ratchetting of cyclic hardening polycrystalline metals Xuehong Ren1 · Shaopu Yang2 · Wenzhao Zhao1 · Guilin Wen1 Received: 23 June 2020 / Revised: 8 July 2020 / Accepted: 11 July 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract A crystal plasticity-based constitutive model is developed by modifying the second item of Armstrong–Frederick (A–F) nonlinear kinematic hardening rule and introducing self-hardening and latent hardening representing the dislocation interaction between slip systems. With the help of β scale-transition rule, the cyclic stress–strain responses of polycrystalline metals can be obtained from the single crystal constitutive model. Then the developed model is applied to describe the cyclic deformation behavior of a face-centered cubic polycrystalline metal, i.e., 316L stainless steel. The predicted results of the model compared with the experiments of 316L stainless steel show that the model can not only simulate the uniaxial and multiaxial ratchetting of the face-centered cubic crystal material during the asymmetrical stress-controlled cyclic loading, but also describe the cyclic hardening characteristics of materials under symmetrical strain-controlled cyclic loading. Meanwhile, the model is capable of predicting uniaxial ratchetting of different orientations at single crystal scale. Keywords Crystal plasticity · Constitutive model · Ratchetting · Polycrystalline metal
1 Introduction Ratchetting refers to the cumulative inelastic deformation that occurs when nonzero mean stress exists during cyclic loading if the applied stress is high enough to cause the inelastic deformation. It is very important to understand and analyze the behavior of ratchetting in the fatigue analysis and reliability assessment of engineering structures. Many great achievements have been made by numerous researchers in experimental observations and theoretical works. The existing cyclic constitutive models can be classified as the macroscopic phenomenological constitutive models and crystal plasticity-based constitutive models. The representative phenomenological models include Chaboche model * Shaopu Yang [email protected] Xuehong Ren [email protected] 1
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
State Key Laboratory of Mechanical Behavior in Traffic Engineering Structure and System Safety, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
2
[1], Ohno-Wang model [2, 3], and Abdel-Karim and Ohno [4] ones extending the Armstrong and Frederick nonlinear kinematic hardening rule in Ref. [5]. However, no microscopic physical nature of cyclic plastic deformation in the metallic materials is involved in the established phenomenological models. It is well-known that, at room temperature, the microscopic physical nature of plastic deformation of face-centered cubic (FCC)crystal material is mainly the dislocation slip in active slip systems. To capture som
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