A phase field model of deformation twinning: Nonlinear theory and numerical simulations

Nonlinear Phase Field Theory for Fracture and Twinning with Analysis of

NUMERICAL SIMULATIONS OF THE PHASE TRANSITIONS IN CLUSTERS

We have studied the phase transitions in atomic clusters by molecular dynamics simulation, assuming Lennard-Jones interatomic pair potential. Calculations are performed by DAP parallel computer. The results are analyzed by simulating their orientational distribution plots (dot-plot), and neutron diffraction patterns. It is shown that all the main features of the bulk phase transitions are e...

General physics motivations for numerical simulations of quantum field theory

In this introductory article a brief description of Quantum Field Theories (QFT) is presented with emphasis on the distinction between strongly and weakly coupled theories. A case is made for using numerical simulations to solve QCD, the regnant theory describing the interactions between quarks and gluons. I present an overview of what these calculations involve, why they are hard, and why they...

A Geometrically Nonlinear Phase Field Theory of Brittle Fracture

Phase field theory is developed for solids undergoing potentially large deformation and fracture. The elastic potential depends on a finite measure of elastic strain. Surface energy associated with fracture can be anisotropic, enabling description of preferred cleavage planes in single crystals, or isotropic, applicable to amorphous solids such as glass. Incremental solution of the Euler–Lagran...

numerical simulations of the phase transitions in clusters

we have studied the phase transitions in atomic clusters by molecular dynamics simulation, assuming lennard-jones interatomic pair potential. calculations are performed by dap parallel computer. the results are analyzed by simulating their orientational distribution plots (dot-plot), and neutron diffraction patterns. it is shown that all the main features of the bulk phase transitions are essen...