Abstract A simple procedure for estimating the uncertainty of estimates true solutions to problems deflection, stress concentrations, and force resultants in solid structural mechanics is introduced. Richardson extrapolation carried out on a dataset samples from sequence four grids. Simple median-based statistical analysis used establish 95% confidence intervals. The leads calculations that del...

We present an explicit second-order-accurate Godunov finite difference method for the solution of the equations of solid mechanics in one, two, and three spatial dimensions. The solid mechanics equations are solved in nonconservation form, with the novel application of a diffusion-like correction to enforce the gauge condition that the deformation tensor be the gradient of a vector. Physically ...