  Scalar-tensor gravity, with the screening mechanisms to avoid the severe
constraints of the fifth force in the Solar System, can be described with a
unified theoretical framework, the so-called screened modified gravity (SMG).
Within this framework, in this paper we calculate the waveforms of
gravitational-waves (GWs) emitted by inspiral compact binaries, which include
four polarization modes, the plus $h_{+}$, cross $h_{\times}$, breathing
$h_{b}$, and longitudinal $h_{L}$ modes. The scalar polarizations $h_b$ and
$h_L$ are both caused by the scalar field of SMG, and satisfy a simple linear
relation. With the stationary phase approximations, we obtain their Fourier
transforms, and derive the correction terms in the amplitude, phase, and
polarizations of GWs, relative to the corresponding results in general
relativity. The corresponding parametrized post-Einsteinian parameters in the
general SMG are also identified. Imposing the noise level of the ground-based
Einstein Telescope, we find that GW detections from inspiral compact binaries
composed of a neutron star and a black hole can place stringent constraints on
the sensitivities of neutron stars, and the bound is applicable to any SMG
theory. Finally, we apply these results to some specific theories of SMG,
including chameleon, symmetron, dilaton and $f(R)$.
