[SY-F11] Mesoscale plasticity models of polycrystalline materials for efficient computation of microstructure/property relationships
Invited
Models based on crystal plasticity are increasingly used in engineering applications to obtain microstructure-sensitive mechanical response of polycrystalline materials. Three key elements of these models are: a proper consideration of the single crystal plastic deformation mechanisms, a representative description of the microstructure, and an appropriate scheme to connect the microstates with the macroscopic response. The latter can be based on homogenization (e.g. self-consistent methods [1]), which relies on a statistical description of the microstructure, or be full-field solutions, which requires a spatial description of the microstructure (e.g. spectral methods [2]). Full-field models are numerically intensive, making their direct embedding in multiscale calculations computationally demanding. On the other hand, they can be used to generate reference solutions for assessment of homogenization-based approaches. In this talk we will review our recent efforts to develop material models based on polycrystal plasticity to capture anisotropic strength, along with their integration with emerging characterization methods in Experimental Mechanics (e.g. [3]), and their embedding in Finite Elements formulations (e.g. [4]) to solve problems involving complex geometries and boundary conditions with microstructure-sensitive material response.
[1] R.A. Lebensohn, C.N. Tomé and P. Ponte Castañeda: "Self-consistent modeling of the mechanical behavior of viscoplastic polycrystals incorporating intragranular field fluctuations". Phil. Mag. 87, 4287-4322 (2007).
[2] R.A. Lebensohn, A.K. Kanjarla and P. Eisenlohr: "An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials". Int. J. Plast. 32-33, 59-69 (2012).
[3] R. Pokharel, J. Lind, A.K Kanjarla, R.A. Lebensohn, S.F. Li, P. Kenesei, R.M. Suter and A.D. Rollett: “Polycrystal plasticity: comparison between grain scale observations of deformation and simulations”. Ann. Rev. Cond. Matter Phys. 5, pp. 317-346 (2014).
[4] J. Segurado, R.A. Lebensohn, J. Llorca and C.N. Tomé: "Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements". Int. J. Plast. 28, 124-140 (2012).
[1] R.A. Lebensohn, C.N. Tomé and P. Ponte Castañeda: "Self-consistent modeling of the mechanical behavior of viscoplastic polycrystals incorporating intragranular field fluctuations". Phil. Mag. 87, 4287-4322 (2007).
[2] R.A. Lebensohn, A.K. Kanjarla and P. Eisenlohr: "An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials". Int. J. Plast. 32-33, 59-69 (2012).
[3] R. Pokharel, J. Lind, A.K Kanjarla, R.A. Lebensohn, S.F. Li, P. Kenesei, R.M. Suter and A.D. Rollett: “Polycrystal plasticity: comparison between grain scale observations of deformation and simulations”. Ann. Rev. Cond. Matter Phys. 5, pp. 317-346 (2014).
[4] J. Segurado, R.A. Lebensohn, J. Llorca and C.N. Tomé: "Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements". Int. J. Plast. 28, 124-140 (2012).