Analytical Model for Segmented Pipe Response to Tensile Ground Strain
Seismic fragility relations for segmented buried pipelines have, up to this point, been based almost exclusively upon empirical observations. There are drawbacks with the purely empirical approach, one being the lack of confidence in estimated damage for the more important large diameter pipelines. This paper presents mechanics-based models for small diameter cast iron pipelines subject to tensile ground strains. One model is for small to moderate ground strains (less than .0002) primarily associated with seismic wave propagation. A second model is for larger ground strains associated with the permanent ground deformation hazard. The predicted damage rates from these mechanics-based models are consistent with existing empirical relations for small diameter cast iron pipe. It is expected that in the future, these mechanics-based models can be extended to the more important large diameters and to different pipe materials.