Abstract
The Monte Carlo method is commonly used in the simulation considering uncertainties such as material properties and boundary conditions. However, non-linear analysis is much more time consuming than linear one, because a large number of analyses are required in the Monte Carlo Simulation. To put the Monte Carlo simulation for non-linear problem into practical use, this study proposes to linearize the strongly history-dependent nonlinear problem based on the idea to simulate instantaneous state in the history as linear problem. This idea was applied to the simulation of clinical microneedle insertion into human skin. The instantaneous situation in the nonlinear phenomena with variety of uncertainties could be modeled by initial stress in linear analysis.
