Upper Bound Theorem
 Sergey Alexandrov
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Abstract
Plastic limit analysis is a convenient tool to find approximate solutions of boundary value problems. In general, this analysis is based on two principles associated with the lower bound and upper bound theorems. The latter is used in the present monograph to estimate the limit load for welded structures with and with no crack. A proof of the upper bound theorem for a wide class of material models has been given by Hill (1956). The only reliable output of upper bound solutions is the load required to initiate the process of plastic deformation. Any upper bound limit load is higher than or equal to the actual load. This statement becomes more complicated in the case of multiple load parameters. Upper bound solutions are not unique and their accuracy significantly depends on the kinematically admissible velocity field chosen.
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 Title
 Upper Bound Theorem
 Book Title
 Upper Bound Limit Load Solutions for Welded Joints with Cracks
 Pages
 pp 19
 Copyright
 2012
 DOI
 10.1007/9783642292347_1
 Print ISBN
 9783642292330
 Online ISBN
 9783642292347
 Series Title
 SpringerBriefs in Applied Sciences and Technology
 Series ISSN
 2191530X
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 The Author(s)
 Additional Links
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 Authors

 Sergey Alexandrov ^{(1)}
 Author Affiliations

 1. A.Yu. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Prospect Vernadskogo 1011, Moscow, Russia, 119526
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