Abstract
The paper presents a modification of the quasi-elastic solution technique aimed at applications to the stability analysis of viscoelastic structures. The study is concerned with two distinct instability phenomena, the bifurcation and the snapthrough buckling in the presence of creep. Respectively, two structural models are considered, a circular arch and a shallow two-bar system under sustained lateral loading. The quasi-elastic approximate solution results in the instability condition defined in terms of the load-critical time equation. The time-dependent response of the structures is studied in relation to the limited and unlimited creep behaviour of viscoelastic materials. Two numerical examples are given and accuracy of the method is discussed.
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