A microstructure-based analysis of cyclic plasticity of pearlitic steels with Hill’s self-consistent scheme incorporating general anisotropic Eshelby tensor

Abstract

A pearlitic steel is composed of numerous pearlitic colonies with random orientations, and each colony consists of many parallel lamellas of ferrite and cementite. The constitutive behavior of this kind of materials may involve both inherent anisotropy and plastic deformation induced anisotropy. A description of the cyclic plasticity for this kind of dual-phase materials is proposed by use of a microstructure-based constitutive model for a pearlitic colony, and the Hill's self-consistent scheme incorporating anisotropic Eshelby tensor for ellipsoidal inclusions. The corresponding numerical algorithm is developed. The responses of pearlitic steel BS11 and single-phase hard-drawn copper subjected to asymmetrically cyclic loading are analyzed. The analytical results agree very well with experimental ones. Compared with the results using isotropic Eshelby tensor, it is shown that the isotropic approximation can provide acceptable overall responses in a much simpler way.

Effect of interlamellar spacing on the elastoplastic behavior of C70 pearlitic steel: Experimental results and self-consistent modeling

“…They only provide information about ferrite behavior [4,5]. That is why, several studies have used self-consistent models [4,5,9,14,22] to identify the behavior of pearlitic steels at macroscopic and microscopic scales under monotonic [4,9,22] and cyclic [23] loading. The self-consistent model has been used by Inal et al [4] in the case of pearlitic steel (88% ferrite and 12% cementite) to identify the elastoplastic parameters (critical shear stress and hardening parameter) of ferrite.…”

Prediction on the Mechanical and Forming Behaviors of Ferrite-Martensite Dual Phase Steels Based on a Flow Model

“…However, some methods and models were developed to solve this problem in describing the material mechanical properties, e.g., the representative volume element (RVE) method [1 -8] and the inclusion theory [9 -15]. Moreover, many studies about the macro/micromechanical properties of TRIP and DP steels were conducted according to the Mori-Tanaka [10] and the self-consistent schemes, e.g., Tsuchida and Tomota [16], Garion et al [17], Skoczen [18], Delannay et al [19], Sitko et al [20], X. Peng et al [21], Berbenni et al [22], Jia et al [23], Franz et al [24], Long et al [25], and Fan [26].…”

Effect of Interlamellar Spacing on the Monotonic Behavior of C70 Pearlitic Steel

“…This effect of microstructures controls the loading partitioning between ferrite and cementite phases which is characterized by a specific behavior under monotonic [2] and cyclic loading [9]. Several studies have used self-consistent models [2,3,10] to identify the behavior of pearlitic steels at macroscopic and microscopic scales under monotonic [3,5] and cyclic [11] loading. Nevertheless, little work has been published on the effect of interlamellar spacing on the plasticity parameters and residual stress of pearlitic steel constituents.…”