Shakedown analysis of defective pressure vessels by a kinematic approach

In this paper, a kinematic approach and an iterative procedure, earlier proposed for limit analysis, are adopted for shakedown analysis under variable repeated loading. Reference is made to three-dimensional structures of engineering relevance, such as pressurized pipelines and vessels with ¯uctuating pressure and with slot damages due, e.g. to pitting corrosion. The numerical performance of the solution algorithm is investigated, and the cost-effectiveness of the proposed direct shakedown analysis method is assessed and compared to that of timemarching solutions by up-to-date codes.