Fig. 3.

Spatial distribution of the solid apparent density at steady state, in a prismatic bar of length h = 10, subjected to an axial traction σ₀ = −10 and body force per volume f₀ = −1, over the range 0 ≤ x ≤ h, with c = 10⁴, γ = 2, and ψ₀ = 0.01. The finite element solution is obtained using B = 1 in (44), with initial condition ${\rho }_r^s=1$ at t = 0, and with the analysis performed until t = 200. a Prismatic bar geometry and spatial distribution of ${\rho }_r^s$ at steady state. b Comparison of finite element analysis and analytical solution of (55) over the entire range of x. c Mesh convergence results