Abstract
The plastic behavior in polycrystalline materials depends on the deformation of individual grains or single crystals. In this work, cyclic stress–strain behavior was studied in single crystal FCC material to understand the effect of strain localization. Numerical studies were accomplished utilizing crystal plasticity finite element method (CPFEM) on a single crystal with a notch. Under, two types of localization modes, namely growth of extrusion–intrusion bands and the strain accumulation in shear localized regions near the crack tip, are commonly noticed. The process of continuous strain accumulation in one certain direction is often termed as strain ratcheting. Importantly, this particular behavior is generally counted as one of the major causes of fatigue damage and also considered as very vital in understanding the fatigue crack nucleation and its propagation. In the current work, the strain ratcheting behavior of FCC single crystals with a notch subjected to cyclic loads was studied using CPFE methodology with suitable incorporation of nonlinear kinematic hardening law.
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Abbreviations
- \( \dot{\gamma }_{0} \) :
-
Reference shear rate
- \( \tau^{\alpha } \) :
-
Resolved shear stress of the slip system \( \alpha \)
- \( \chi^{\alpha } \) :
-
Back stress for the slip system \( \alpha \)
- \( g_{{}}^{\alpha } \) :
-
Critical resolved shear stress
- m :
-
Rate sensitivity parameter
- \( h_{\alpha \beta } \) :
-
Hardening matrix
- \( h_{0} \) :
-
Initial hardening rate
- \( h_{s} \) :
-
Saturation hardening rate
- \( \tau_{0} \) :
-
Initial strength of the slip system
- \( \tau_{s} \) :
-
Saturation strength of the slip system
- \( E \) :
-
Young’s modulus
- \( \upsilon \) :
-
Poisson’s ratio
- \( K_{1} \) :
-
Stress intensity factor
- T :
-
T-stress
- \( \log \left( {\lambda_{1}^{p} } \right) \) :
-
Maximum principal logarithmic plastic strain
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Deka, N., Jonnalagadda, K.N. (2018). Investigation of Cyclic Stress–Strain Behavior in FCC Single Crystals. In: Prakash, R., Jayaram, V., Saxena, A. (eds) Advances in Structural Integrity. Springer, Singapore. https://doi.org/10.1007/978-981-10-7197-3_49
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DOI: https://doi.org/10.1007/978-981-10-7197-3_49
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