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This iterative process converged within five iterations, producing a coupled density/heat load solution for a variable density gas target.
The resulting limit load solution is given in a closed form, and thus can be easily used in practice.
Then, the limit load solution of Kastner was adapted to the situation under combined inner pressure and axial plastic strain.
The discussions demonstrate that only when iterative elastic modulus sequences are contraction mappings can a good limit load solution be obtained.
In the present work, such limit load solution is found by comparing reference stress based J results with those from extensive 3-D finite element (FE) analyses.
The approximate limit load solution for circumferential failure is expressed in terms of sheet thickness, nugget diameter and combinations of loads.
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Also, elastic COD and the reference load solutions are proposed.
Limit load solutions are used to construct collapse maps, with the beam geometrical parameters as axes.
Absorption tests with regenerated load solutions after appropriate NaOH makeup, did not show appreciable differences with respect to raw solutions.
Unfortunately available limit load solutions are of variable quality since they have been obtained over decades by different methods.
The accuracy of limit load solutions has a significant effect on the accuracy of defect assessment methods.
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