Titlebook: Handbook of Continuum Mechanics; General Concepts The Jean Salençon Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 Analysis.continuum

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Modelling the Continuum,orming processes, or again the flow of a liquid, or the expansion and compression of a gas. From this kind of experience, the observer extracts the idea that certain problems can be treated on a . scale by assimilating the material to a ‘continuous’ medium, without in any way contradicting the assum

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Kinematics,ed essentially with the geometrical point of view, without considering the intermediate states of the system. As stated at the time, the argument . served merely as a parameter to index the current configuration.

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The Virtual Work Approach to the Modelling of Forces,s of the continuum, we must now introduce the idea of . and establish laws governing the motion and equilibrium of a system in this model. It should be emphasised that, as in all classical textbooks, the word ‘forces’ is used here and in all that follows as a generic term. It does not imply that the

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Modelling Forces in Continuum Mechanics,ese require, for any model:.• The law of mutual actions, equivalent to the statement (4.1) in Chap. IV, expressing the fact that the virtual rate of work by internal forces must be zero in any rigid body motion. The fundamental law of dynamics

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Variational Methods in Linearised Thermoelasticity,arised expression for the equations governing a quasi-static thermoelastic process relative to the known reference configuration. The equations obtained in this way (Chap. VIII, Sect. 2.3) show that the thermal problem decouples (so that the temperature change field becomes one of the known fields),

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Statics of One-Dimensional Media, observation that many solids used as structural elements in constructions (civil or industrial engineering, ship building, aeronautics, etc.) have a slender shape (Fig. 1). This suggests that it should be possible to carry out mechanical studies on the one-dimensional geometry defined by a ..

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Thermoelastic Structural Analysis,e from one-dimensional elements generally leads to a statically indeterminate problem that can only be solved by introducing the constitutive law for the one-dimensional medium. The latter is the one-dimensional counterpart, for this type of medium, of the constitutive laws discussed in Chap. VII fo