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Morphology Dependent of Flow Stress of Nickel-Based Superalloys in the Multi-Scale Crystal Plasticity Framework
Published
Author(s)
Shahriyar Keshavarz, Zara Molaeinia, Andrew C. Reid, Stephen A. Langer
Abstract
This paper develops a framework to obtain flow stress of Nickel-based superalloys as a function of gamma-gamma prime morphology. In general, the two-phase gamma-gamma prime morphology in Nickel-based superalloys can be divided into three variables including gamma prime shape, gamma prime volume fraction and gamma prime size in the sub-grain microstructure. In order to obtain the flow stress, non-Schmid crystal plasticity constitutive models at two length scales are employed and bridged through a homogenized multi-scale framework. The multi-scale framework includes two sub-grain and homogenized grain scales. For the sub-grain scale, a size-dependent, dislocation density-based finite element model (FEM) model of the representative volume element (RVE) with explicit depiction of the gamma-gamma prime morphology is developed as a building block for homogenization. For the next scale, an activation energy based crystal plasticity model is developed for homogenized single crystal of Ni-based superalloys for a large temperature range, and include orientation dependencies and tension-compression asymmetry. This homogenized model is used to obtain the morphology dependent of flow stress in nickel-based superalloys and can significantly expedite crystal plasticity FE simulations in polycrystalline microstructures as well as higher scales FE models in order to cast and design superalloys.
Keshavarz, S.
, Molaeinia, Z.
, Reid, A.
and Langer, S.
(2017),
Morphology Dependent of Flow Stress of Nickel-Based Superalloys in the Multi-Scale Crystal Plasticity Framework, Elsevier, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=921620
(Accessed October 6, 2025)