The peak effect (PE) region in a single crystal of Ca3Rh4Sn13 is shown to c
omprise two discontinuous first-order-like transitions located near its ons
et and peak positions, in accordance with a stepwise fracturing of the flux
-line lattice. Magnetization response to thermal cycling across the onset p
osition produces an open hysteresis loop, consistent with the notion of the
fracturing. A thermomagnetic history dependence study shows that the criti
cal current density J(c)(H,T) is path dependent over a large part of the (H
,T) parameter space. Tills path dependence ceases above the peak position o
f the peak effect, suggesting a complete amorphization of the flux-line lat
tice at (T-p,H-p) line. A plausible vortex phase diagram has been construct
ed for Ca3Rh4Sn13 in which phases like an elastic solid, a plastic solid, a
nd pinned and unpinned amorphous states have been identified.