Extremum and saddle-point theorems for elastic solids with dissipative displacement discontinuities

• Autorzy: Carini, A. , Maier, G.
• Języki publikacji: EN

Abstrakty

EN

In a number of engineering situations concerning structures made of quasi-brittle, concrete-like materials, all nonlinearities can be reasonably confined to a locus of possible displacement discontinuities. This locus has a lower dimensionality (by one) with respect to the problem domain; it encompasses joints, cracks, fracture process zones (described by cohesive crack models) and their possible propagation paths. Linear elasticity is assumed everywhere else for overall analysis purposes. With reference to a very broad class of interface models, i.e. of (holonomic or nonholonomic, inviscid or time-dependent) relationships between displacement jumps and tractions across that locus, the (possibly multiple, if any) solutions of the initial-boundary-value problem of structural analysis are shown herein to be characterized by duality pairs of extremum and min-max properties.

Słowa kluczowe

PL

nieciągłości przemieszczeń

EN

displacement discontinuities

• Czasopismo: Archives of Mechanics
• Rocznik: 2000
• Tom: Vol. 52, nr 4-5
• Strony: 523-545
• Opis fizyczny: Bibliogr. 39 poz.,

Twórcy

autor

Carini, A.

autor

Maier, G.