Abstract
We discuss a specific example of infinite-dimensional optimization. It arises in the limit analysis of a perfectly plastic structure, when the loads are increased until they are no longer balanced by admissible stresses. This moment of collapse can be determined, both analytically and numerically, as the extreme value either of an optimization problem in the stresses or of its dual in terms of displacements. In our example the dual (but not, so far, the primal) can actually be solved. We hope that the example will suggest the right choice of function spaces in the general theory, and also provide a good test case for the numerical analysis.
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© 1979 Springer-Verlag
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Strang, G. (1979). A minimax problem in plasticity theory. In: Nashed, M.Z. (eds) Functional Analysis Methods in Numerical Analysis. Lecture Notes in Mathematics, vol 701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062087
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DOI: https://doi.org/10.1007/BFb0062087
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