Saint-Venant body

It is convenient to describe these properties in terms of the following mechanical models [396] the Hooke body (an elastic spring), the Saint-Venant body modeling dry friction (a bar on a solid surface), and the Newton body (a piston in a vessel filled with a viscous fluid). By using various combinations of these elementary models (connected in parallel and/or in series), one can describe situations which are rather complex from the rheological viewpoint. 

It is well known [38, 118, 125, 280, 379] that for foam there exists a yield stress ro that classifies the types of rheological behavior of foam as follows for r < to, the foam is a solid-shaped substance, and for t > to, it is fluid-shaped. For this reason, mechanical models of foam must include the Saint-Venant body. One of the simplest macrorheological models of the foam body is shown in Figure 7.3. 

The sHde block (Saint-Venant body) simulates ideal plastic behavior with no strain at aU below a critical yield stress 0 (Figure 2.10), although at and above the critical yield stress the strain increases without Hmit This behavior is frequently invoked in problems of slope stabihty for wet fine-grained materials such as silt and clay, as the sHde block wiU not move due to friction until sufficient stress is applied. 

Figure 2.10 Model elements for viscoelastic simulations (from left linear spring element, linear dash pot element, nonlinear spring element, nonlinear dash pot element, sliding block (Saint-Venant body) with yield stress 9 (after Hennicke, 1978).

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See also in sourсe #XX -- [ , ]

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