Finite-element modeling calculations reveal the origin of the remarkably la
rge elastic strains in diamond observed in recent experiments at multimegab
ar pressures. This approach provides a means to determine the pressure depe
ndence of the yield strength of strong materials used in the gasket, and al
lows us to examine quantities that are not accessible experimentally such a
s the stress and strain relations in diamond. Stress tensor elements are ob
tained near the tip where large modifications in the optical properties of
diamond have been observed. (C) 1999 American Institute of Physics. [S0003-
6951(99)02505-X].