Accuracy of nonlinear finite element collapse predictions for submarine pressure hulls with and without artificial corrosion damage

Nonlinear finite element (FE) collapse pressure predictions are compared to experimental results for submarine pressure hull test specimens with and without artificial corrosion and tested to collapse under external hydrostatic pressure. The accuracy of FE models, and their sensitivity to modeling and solution procedures, are investigated by comparing FE simulations of the experiments using two different model generators and three solvers. The standard FE methodology includes the use of quadrilateral shell elements, nonlinear mapping of measured geometric imperfections, and quasi-static incremental analyses including nonlinear material and geometry. The FE models are found to be accurate to approximately 11%, with 95% confidence, regardless of the model generator and solver that is used. Collapse pressure predictions for identical FE models obtained using each of the three solvers agree within 2.8%, indicating that the choice of FE solver does not significantly affect the predicted collapse pressure. The FE predictions are found to be more accurate for corroded than for undamaged models, and neglecting the shell eccentricity that arises due to one-sided shell thinning is found to significantly decrease the resulting accuracy of the FE model.     

Assessing economic activity in coastal areas: A shift‐share approach

Abstract

An essential aspect of economic analysis associated with planning efforts is identifying the composition of existing economic activity and understanding historical trends in economic change. The shift‐share model is a useful and inexpensive tool for this purpose. Shift‐share analysis evaluates changes in local economic activities relative to changes in a reference area (usually the state or nation). Economic change is separated into a reference area component, an industry mix component, and a local share component. These measure, respectively, the effect on the local economy due to changes in the reference area, factors specific to the local mix of industries, and the changing competitive position of the local area relative to the reference area.

A shift‐share analysis of Florida's coastal counties reveals that all grew much faster over the 1965–1975 period than did the national economy. This rapid growth is primarily a result of a net shift of economic activity toward the study area relative to the nation. However, a few coastal counties did exhibit a mix of slow‐growing industries. Specific industry results for Florida counties at the eighty‐industry level reveal that many industries showed significant shifts toward Florida's coastal counties. The performance of individual industries in the coastal counties generally exceeded that of the same industries in noncoastal counties.     

Notes and Comments

Comment by John R. Clark

Comment by Kem Lowry

Comment by Stephen B. Olsen

Response by Jens Sorensen