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Static-Kinematic Optimality Criteria
Abstract The aim of this chapter is to provide the reader with a comprehensive list of optimality criteria for both plastic and elastic design. These criteria can be regarded as extensions of the Prager-Shield (1967) condition and are called “static-kinematic” because they all require statically admissible stress fields and kinematically admissible strain fields. As will be explained, kinematic admissibility is not an original prerequisite of plastic design (based on the lower bound theorem of plastic limit analysis) and hence it can be Regarded as an additional optimality condition. The Prager-Shield condition itself has been redefined and generalized by the author and his associates, by the introduction of the gradient operator g and through extensions to non-convex and discontinuous specific cost functions. Finally, it should be noted that equivalents of the Prager-Shield condition can be derived from theories of Masur (1970), Mróz (1963), Save (1972) or Prager and Taylor (1968).
Static-Kinematic Optimality Criteria
Abstract The aim of this chapter is to provide the reader with a comprehensive list of optimality criteria for both plastic and elastic design. These criteria can be regarded as extensions of the Prager-Shield (1967) condition and are called “static-kinematic” because they all require statically admissible stress fields and kinematically admissible strain fields. As will be explained, kinematic admissibility is not an original prerequisite of plastic design (based on the lower bound theorem of plastic limit analysis) and hence it can be Regarded as an additional optimality condition. The Prager-Shield condition itself has been redefined and generalized by the author and his associates, by the introduction of the gradient operator g and through extensions to non-convex and discontinuous specific cost functions. Finally, it should be noted that equivalents of the Prager-Shield condition can be derived from theories of Masur (1970), Mróz (1963), Save (1972) or Prager and Taylor (1968).
Static-Kinematic Optimality Criteria
Rozvany, George I. N. (author)
1989-01-01
60 pages
Article/Chapter (Book)
Electronic Resource
English
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