Connections between thermodynamics and stability for simple continuous bodies have been largely discussed in the scientific literature /1-5/. However, a few attempts (see, e.g., /6-8/) have been developed to analyze the same issues in complex bodies where the material substructure has a prominent influence on the gross behavior. The presence of material substructure may, in fact, generate possible local material instabilities and bifurcations (see 111 for the special case of nematic liquid crystals). Moreover, it influences even the global stability criteria of motion. We collect here some preliminary issues towards the study of thermodynamic stability of complex bodies. Our point of view follows the one of multifield theories /9-12/ that seem to be an adequate tool in investigating the intricate nature of complex materials and unifying common special models in material sciences, in particular of soft condensed matter. For any manifold M, we indicate by TmM its tangent space at meM and by Τ Μ its tangent bundle.
Thermodynamic stability for materials with substructure / Paolo Maria Mariano. - In: JOURNAL OF THE MECHANICAL BEHAVIOR OF MATERIALS. - ISSN 0334-8938. - STAMPA. - 18:(2007), pp. 97-104. [10.1515/JMBM.2007.18.2.97]
Thermodynamic stability for materials with substructure
Paolo Maria Mariano
2007
Abstract
Connections between thermodynamics and stability for simple continuous bodies have been largely discussed in the scientific literature /1-5/. However, a few attempts (see, e.g., /6-8/) have been developed to analyze the same issues in complex bodies where the material substructure has a prominent influence on the gross behavior. The presence of material substructure may, in fact, generate possible local material instabilities and bifurcations (see 111 for the special case of nematic liquid crystals). Moreover, it influences even the global stability criteria of motion. We collect here some preliminary issues towards the study of thermodynamic stability of complex bodies. Our point of view follows the one of multifield theories /9-12/ that seem to be an adequate tool in investigating the intricate nature of complex materials and unifying common special models in material sciences, in particular of soft condensed matter. For any manifold M, we indicate by TmM its tangent space at meM and by Τ Μ its tangent bundle.File | Dimensione | Formato | |
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