The dynamic piezoelectric response of SrBi4Ti4O15 ceramics with Aurivillius structure was investigated at high alternating stress, low frequencies (0.01 to 100 Hz), and temperatures from 20 to 200 degreesC. The piezoelectric nonlinearity, observed only at high pressures (>10 MPa) and elevated temperatures (>150 degreesC), is interpreted in terms of contributions from non-180degrees domain walls. At weak fields, the frequency dependence of the longitudinal piezoelectric coefficient was explained in terms of Maxwell-Wagner piezoelectric relaxation. The Maxwell-Wagner units are identified as colonies that consist of highly anisotropic grains which sinter together, and whose distribution in the ceramic is strongly dependent on sintering conditions.