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On the complementary bounding theorems for limit analysis. (English) Zbl 0636.73023

Summary: A unified theory for the complementary-dual bounding theorems of limit analysis is established with the aid of convex analysis. Based on the property of superpotential in this theory, various variational principles are constructed, which include a new lower bound theorem, a more precise estimation for the safety factor and a penalty-duality type variational principle. Furthermore, an efficient penalty-duality algorithm for limit analysis is suggested and the applications of these theorems are illustrated.

MSC:

74R20 Anelastic fracture and damage
49S05 Variational principles of physics
74S30 Other numerical methods in solid mechanics (MSC2010)

Citations:

Zbl 0525.73040
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