On the collapse solution in limit analysis. (English) Zbl 0584.73036

Christiansen, Edmund

Arch. Ration. Mech. Anal. 91, 119-135 (1985).

A rigid-ideal-plastic body is subject to prescribed displacements of one part of the boundary and to prescribed tractions at the other part of the boundary. Furthermore the distribution of body forces is given. Surface tractions and body forces depend on the same parameter \(\lambda\). The problem is to find the limit load carrying factor \(\lambda_ 0\). Based on dual (static and kinematic) formulation of the problem the existence and regularity of collapse solutions is examined by defining a generalized Green formula.

Reviewer: Th.Lehmann

MSC:

74R20

Anelastic fracture and damage

Keywords:

rigid-ideal-plastic body; prescribed displacements; one part of the boundary; prescribed tractions; other part of the boundary; distribution of body forces is given; limit load carrying factor; dual (static and kinematic) formulation; existence; regularity of collapse solutions; generalized Green formula

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