Second-order work and dissipation on indirect pathsTravail du deuxième ordre et dissipation sur des chemins indirects |
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| Authors: | Henryk Petryk |
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| Institution: | Institute of Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, 00-049 Warsaw, Poland |
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| Abstract: | The concept of the second-order dissipation on arbitrary complex paths in the space of internal state variables is developed. A general framework for time-independent dissipative solids is adopted which encompasses plasticity, micro-cracking or martensitic phase transformation. Circumstances are established in which the dissipation evaluated to the second order is minimized on a radial path. As an application, this minimum property is used to simplify a sufficiency condition for stability of equilibrium. To cite this article: H. Petryk, C. R. Mecanique 330 (2002) 121–126. |
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| Keywords: | solids and structures dissipative materials energy path-dependence stability solides et structures matériaux dissipatifs énergie stabilité |
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