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Dual extremum principles in finite deformation elastoplastic analysis (1989)

Gao, Yang ; Strang, Gilbert

Springer

Acta applicandae mathematicae 17 (1989), S. 257-267

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ISSN: 1572-9036

Keywords: 73Exx ; 73Gxx ; Elastoplasticity ; variational principles ; convex analysis ; finite deformation theory

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00047073

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