Abstract
Many structural members can be analyzed applying simplifying assumptions of plane stress or plane strain state. Examples include plates under in-plane loading, thick pipes under internal pressure, rotating discs, etc. Although many problems of this type can be solved in a closed analytical form assuming linear-elastic material behavior (Altenbach et al, 2016; Lurie, 2005; Timoshenko and Goodier, 1951), only few solutions for elementary examples exist, where plasticity and/or creep are taken into account (Boyle and Spence, 1983; Malinin, 1975, 1981; Odqvist, 1974; Skrzypek, 1993). Chapter 4 presents examples of inelastic structural analysis for plane stress and plane stress problems. In Sect. 4.1 basic assumptions are discussed and governing equations are introduced. Elementary structures including a pressurised thick cylinder, Sect. 4.2, a rotating disc, Sect. 4.3 and a plate with a circular hole, Sect. 4.4, are introduced to illustrate basic features of inelastic behavior under plane multi-axial stress and strain states. Classical results assuming the power law type creep as well as solutions with stress regime dependent inelastic behavior are presented.
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