Abstract
Dual extremum principles are established in this paper for the variational boundary-value problem of elasto-perfect plasticity with large deformation. There exists a duality gap between the primal and dual variational problems. Our application to nonlinear limit analysis yields a pair of dual bounding theorems for the safety factor, when the gap has the right sign. It is proved that both the upper and lower bounds directly depend on the properties of the dual gap function.
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This research was supported by Army Research Office grant DAAL 03-86-K 0171 and National Science Foundation grant DMS-87-03313.
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Gao, Y., Strang, G. Dual extremum principles in finite deformation elastoplastic analysis. Acta Appl Math 17, 257–267 (1989). https://doi.org/10.1007/BF00047073
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DOI: https://doi.org/10.1007/BF00047073