  The Euler buckling theorem states that the buckling critical strain is an
inverse square function of the length for a thin plate in the static
compression process. However, the suitability of this theorem in the dynamical
process is unclear, so we perform molecular dynamics simulations to examine the
applicability of the Euler buckling theorem in case of a fast compression of
the single-layer MoS2. We find that the Euler buckling theorem is not
applicable in such dynamical process, as the buckling critical strain becomes a
length-independent constant in the buckled system with many ripples. However,
the Euler buckling theorem can be resumed in this dynamical process after
restricting the theorem to an individual ripple in the buckled structure.
