On the collapse solution in limit analysis
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.
scientific article; zbMATH DE number 3936624