Code and data for "Minimal-surface sheet lattices attain the leading-order hydrostatic strength bound of porous solids"

Code and data for an article on the plastic strength of sheet lattices on triply periodic minimal surfaces under hydrostatic stress. For walls of uniform thickness made of a rigid-perfectly plastic von Mises solid, an explicit stress field shows that minimal sheets with cubic point symmetry reach (2/3) sigma_0 rho, the largest leading-order hydrostatic strength of any periodic porous solid with a von Mises matrix, and with the wall-thinning mechanism this field brackets the strength at every thickness at which the sheet is embedded. On the Primitive, Gyroid and Diamond sheets, computer-assisted proofs place the thin-wall limits of the t^3 coefficient c in [0.7425, 0.7499], and at rho = 0.10 two-sided certified bounds narrow the bracket to less than 0.036 percent of (2/3) sigma_0 rho, a reference for limit-analysis codes that model the exact wall. As an application to hydrostatic compression, a Bloch-Floquet analysis indicates that perfect 316L sheets denser than rho = 0.028 to 0.052 reach at least the onset of yield, and single-mode imperfections of a tenth of the wall thickness put the computed peaks 6 to 23 percent below the shell strength. The deposit contains the surface meshes, the conic-program, buckling and nonlinear cell solvers, the symbolic checks, the certificate code and computed values, ENVIRONMENT.lock, REPRODUCE.md and the extended technical notes SM_extended_notes.pdf; see README.md.