The Post-Yield Flexure Of Geologic Strata

The flexure of geologic strata, a phenomenon of inter- est to geologists and mining engineers alike, is examined as a sheet bending problem' in Coulomb plasticity. Formulae for the distribution of stress, strain and displacement increments, volume change, change in the length of the central surface and power of dissipation, as well as for the neutral surface shift are given. Strains of any magnitude are considered. The analysis shows that deeply buried strata may bend and develop "tensile" cracks under generally compressive states of stress. It is also shown that bed separation and high capacity props are desirable in mechanized longwall mining, a result in keeping with operating experience. Although speculative at this time, the analysis provides a rational working hypothesis as regards the problem of strata flexure and control.