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Plastic limit analysis. (English) Zbl 0817.73016
Smith, D. Lloyd (ed.), Mathematical programming methods in structural plasticity. Wien etc.: Springer-Verlag. CISM Courses Lect. 299, 61-82 (1990).
Summary: Systematic mesh and nodal descriptions of the laws of statics and kinematics for the limiting state of plastic collapse in a structural system are set out. Then the constitutive relations appropriate to this condition are presented in such a way as to emphasise their inherent complementarity. The mixing together of these three independent ingredients – statics, kinematics and material constitution – gives rise to the vectorial formulation which governs plastic collapse: it is identified as a linear complementarity problem. From it are derived the dual linear programs which give expression to the variational principles associated with upper and lower bounds on the collapse load factor.
For the entire collection see [Zbl 0788.73011].

74R20 Anelastic fracture and damage
74K99 Thin bodies, structures
90C05 Linear programming