  Asteroid (16) Psyche is notable for the largest M-type asteroid and has the
high radar albedo among the main-belt asteroids. The object is likely a mixture
of metal and silicates because of its lower bulk density than metallic
materials and observations inferring the existence of silicate materials on the
surface. Here, we numerically investigate the interior layout when the
structure of Psyche consists of a spherical iron core and two types of
silicate-rich layers (compressed and uncompressed ones resulting from the
compaction process. We develop an inverse problem algorithm to determine the
layout distribution by combining a Finite Element Model approach that accounts
for density variations and constrains pressure-based crushing conditions. The
results show that given the crushing limit of 10 MPa the smallest core size
likely reaches 72 km in radius, and the silicate-rich layer, consisting of both
compressed and uncompressed regions, has a thickness ranging up to 68 km. To
support the localized metal concentration at the crater-like region detected in
the recent radar observation, we give more constraints on the minimum core size
which takes up to 34 - 40 % of the entire size of Psyche. Our study also
addresses that the ferrovolcanic surface eruptions could still be a source of
metal-rich materials. Finally, while the differentiated structure having a
spherical core condition is just part of potential scenarios, the present study
infers that the core and compressed layer conditions likely control the surface
condition.
