There exists a variety of phenomenological nonlinear constitutive models such as classical flow theory in plasticity. On the other hand, the recent developments of computer and molecular dynamics enable us to analyze the mechanical behavior by atomic level microstructure and eventually to evaluate macroscale material properties. Thus, we develop multi-scale modeling that characterizes macro-scale nonlinear material properties by microscopic particle system governed by potential function. Further, we examine the relationship between nonlinear material response and pattern formation.
