Abstract
We prove the existence of a dual pairing between admissible stress and displacement fields in the context of Hencky plasticity. We apply this to show (i) that an extremal displacement field exists whenever the safe load condition holds; and (ii) that any extremal stress and displacement fields are related by a "saddle point condition," expressing in weak form the constitutive hypothesis of Hencky plasticity.
Original language | English (US) |
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Pages (from-to) | 1-35 |
Number of pages | 35 |
Journal | Applied Mathematics & Optimization |
Volume | 10 |
Issue number | 1 |
DOIs | |
State | Published - Jun 1983 |
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics