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An anisotropic hardening model for path-dependent evolution under complex loading
DOI:10.1016/j.ijsolstr.2025.113706.png)
Abstract
En 中文
Subsequent plastic deformation of metals is governed by the anisotropic evolution of mechanical behavior along diverse loading paths. During complex plastic deformation, yield loci evolve into shapes distinct from their initial state. Given that most industrial forming processes involve complex loading paths, precise characterization of anisotropic yield loci evolution is essential. This study proposes a novel constitutive model unifying the Bauschinger effect, strength differential (SD) effect, and cross effect to predict subsequent yield loci under complex loading. Building upon Barlat et al. (2011) for forward-reverse loading interactions, directional influences of loading on both self and other orientations are mathematically established. Crucially, the model mechanistically unifies the SD and Bauschinger effects despite their distinct physical origins. A theoretical framework is developed to predict subsequent yield loci under both simple loading (specified/random states) and complex loading paths. During yielding, material parameters retain their initial physical meaning, reducing the solution for subsequent yield loci to tracking anisotropic evolution. Stress states across loading directions at incremental plastic strains are dynamically resolved, enabling simultaneous determination of evolving yield loci. The flexible framework accommodates arbitrary yield criteria; validation is demonstrated using one representative criterion, confirming accurate predictions of anisotropic evolution under complex loading conditions.
Journal
IF:
3.8
Papers:
1.2W
Citations:
3.1W

