Application of direct method for a nonlinear-kinematic-hardening material under rolling/sliding line contact: Constant ratchetting rate

A simplified non-linear kinematic hardening model for ratchetting and wear assessment in rolling contact

“…in the case of subsurface flow, confirming thus the validity of the present model in this condition; on the contrary, for f . 0.25 the two models diverge, because, as discussed above, in the Sakae and Keer [23] carried out some simulations by their method, based on a non-linear kinematic hardening model considering all the stress tensor components, applying it to the case of contact between two copper discs. They found the strain increment per cycle in different working conditions; Fig.…”

An integral formulation for steady-state elastoplastic contact over a coated half-plane

“…Yu, Moran, and Keer (1993) extended the direct approach proposed by Zarka and Casier (1979) to investigate the steady-state problem under repeated rolling loading. This method is very effective in solving cyclic rolling contact problem with linear-hardening materials and was also used to study ratchetting behavior (Sakae and Keer, 1997) by adopting a nonlinear kinematic hardening rule proposed by Armstrong and Frederick (1966). Dang Van and Maitournam (1993) proposed an efficient and reliable steady-state algorithm for the calculation of stresses and strains in the half-space with perfect plastic or linear kinematic hardening materials.…”

Constitutive model calibration for railway wheel steel through tension–torsion tests

“…Cycles of axial force P [N] and torque M [N mm] applied during the tension-torsion tests have been designed in order to satisfy the following requirements: (i) phase-shifted cyclic loadings, apt to produce multiaxial stresses which approach those due to rolling-sliding contact tractions in service conditions, see e.g. [15,16]; (ii) generation of significant plastic strains and, in particular, material ratchetting [17]. In view of the above remarks, time histories of axial force and torque have been adopted as follows: 90°(degrees) out-of-phase with respect to each other; with mean values different from zero.…”

“…In the industrial context referred to herein (account taken of various sources in the literature [15,18,19]) and in view of the experimental results on R7T steel presented in the preceding section, the following features are desirable for the material model suitable to the present purposes: a realistic description of nonlinear hardening and ratchetting phenomena under cyclic stresses; a relatively small number of parameters not directly measurable by tests, as a reasonable compromise between the conflicting requirements of realism and simplicity in engineering practice.…”

“…[15,21]). This stabilization may be postulated as a simplifying hypothesis, corroborated by experimental evidence.…”