Substructure-sensitive crystal plasticity with material-invariant parameters

Crystal Growth: Substructure and Recrystallization

Matrix Factorization with Scale-Invariant Parameters

Tuning hyper-parameters for large-scale matrix factorization (MF) is very time consuming and sometimes unacceptable. Intuitively, we want to tune hyper-parameters on small sub-matrix sample and then exploit them into the original large-scale matrix. However, most of existing MF methods are scale-variant, which means the optimal hyperparameters usually change with the different scale of matrices...

Discrete Crystal Plasticity

This article is concerned with the development of a discrete theory of crystal elasticity and dislocations in crystals. The theory is founded upon suitable adaptations to crystal lattices of elements of algebraic topology and differential calculus such as chain complexes and homology groups, differential forms and operators, and a theory of integration of forms. In particular, we define the lat...

Rate Independent Crystal Plasticity

The problem of non-uniqueness in the selection and determination of the amount of shear on the active slip systems has plagued the rate-independent crystal plasticity theories for several years. A new large deformation rate-independent crystal plasticity theory is fromulated which overcomes this long standing problem. The model has been implemented in a commerical finite element program ABAQUS/...

Inverse Transformation Optics with Realistic Material Parameters

We present a method to generate transformation functions based on a space of achievable material properties. To validate this approach, we consider the range of effective refractive index achievable using silver nanowires in a dielectric background. Given fabrication constraints, we generate a reduced cloaking transformation and confirm its performance using FDTD and FEM simulations. We explore...