Anomalous Plasticity of Body-Centered-Cubic Crystals with Non-Schmid Effect

Abstract

Plastic deformations in body-centered-cubic (BCC) crystals have been of critical importance in diverse engineering and manufacturing contexts across length scales. Numerous experiments and atomistic simulations on BCC crystals reveal that classical crystal plasticity models with the Schmid law are not adequate to account for abnormal plastic deformations often found in these crystals. In this paper, we address a continuum mechanical treatment of anomalous plasticity in BCC crystals exhibiting non-Schmid effects, inspired from atomistic simulations recently reported. Specifically, anomalous features of plastic flows are addressed in conjunction with a single crystal constitutive model involving two non-Schmid projection tensors widely accepted for representing non-glide components of an applied stress tensor. Further, modeling results on a representative BCC single crystal (tantalum) are presented and compared to experimental data at a range of low temperatures to provide physical insight into deformation mechanisms in these crystals with non-Schmid effects.

arXiv comment33 pages, 8 figures

References in corpus (3)

• Ab Initio Study of Screw Dislocations in Mo and Ta: A new picture of plasticity in bcc transition metals
• Unraveling the temperature dependence of the yield strength in single-crystal tungsten using atomistically-informed crystal plasticity calculations
• A Micromechanical Model of Hardening, Rate Sensitivity and Thermal Softening in BCC Single Crystals

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• Data-Driven Statistical Reduced-Order Modeling and Quantification of Polycrystal Mechanics Leading to Porosity-Based Ductile Damage
• Bayesian inference and uncertainty quantification for modeling of body-centered-cubic single crystals
• Active Learning of A Crystal Plasticity Flow Rule From Discrete Dislocation Dynamics Simulations
• Crystal elasto-plasticity on the Poincaré half-plane