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Table of Contents
SGCP
Description
STRAIN GRADIENT CRYSTAL PLASTICITY CONSTITUTIVE
Implemented by S. Yuan 2017
The model
Mechanical analysis of strain gradient crystal plasticity problem
Keller, C., Habraken, A.M., Duchene, L., 2012a. Finite element investigation of size effects on the mechanical behavior of nickel single crystals. Mater. Sci. Eng. A 550, 342–349. https://doi.org/10.1016/j.msea.2012.04.085
Keller, C., Hug, E., Habraken, A.M., Duchene, L., 2012b. Finite element analysis of the free surface effects on the mechanical behavior of thin nickel polycrystals. Int. J. Plast. 29, 155–172. https://doi.org/10.1016/j.ijplas.2011.08.007
Bayley, C.J., Brekelmans, W.A.M., Geers, M.G.D., 2006. A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity. Int. J. Solids Struct. 43, 7268–7286. https://doi.org/10.1016/j.ijsolstr.2006.05.011
Files
Prepro: T151_V3.F
Lagamine: T152_V3.F
Availability
| Plane stress state | NO |
| Plane strain state | NO |
| Axisymmetric state | NO |
| 3D state | YES |
| Generalized plane state | NO |
Input file (COLAW==>*.lag)
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | 973 |
| COMMENT | Any comment (up to 60 characters) |
Real parameters
| Line 1 (3G10.0) | |
|---|---|
| $C_{11}$ | $4^{th}$ order anisotropic elastic tensor component |
| $C_{12}$ | $4^{th}$ order anisotropic elastic tensor component |
| $C_{44}$ | $4^{th}$ order anisotropic elastic tensor component |
| Line 2 (5G10.0) | |
| $\dot{\gamma}_{0}$ | reference plastic strain rate |
| $m$ | rate sensitivity exponent of the original power-law function |
| $G_{0}$ | total free energy needed to move a dislocation to overcome a short-range barrier without external work aid |
| $k$ | Boltzmann’s constant |
| $T$ | absolute temperature |
| Line 3 (3G10.0) | |
| $c$ | material constant |
| $\mu$ | shear modulus |
| $b$ | length of Burgers vector |
