  We obtain the gravitational form factors (GFFs) and investigate their
applications for the description of the mechanical properties, i.e., the
distributions of pressures, shear forces inside proton, and the mechanical
radius, in a light-front quark-diquark model constructed by the soft-wall
AdS/QCD. The GFFs, $A(Q^2)$ and $B(Q^2)$ are found to be consistent with the
lattice QCD, while the qualitative behavior of the $D$-term form factor is in
agreement with the extracted data from the deeply virtual Compton scattering
(DVCS) experiments at JLab, the lattice QCD, and the predictions of different
phenomenological models. The pressure and shear force distributions are also
consistent with the results of different models.
