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Record Nr. |
UNINA9910254294803321 |
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Autore |
Straughan Brian |
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Titolo |
Mathematical Aspects of Multi–Porosity Continua / / by Brian Straughan |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (IX, 208 p. 7 illus., 4 illus. in color.) |
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Collana |
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Advances in Mechanics and Mathematics, , 1571-8689 ; ; 38 |
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Disciplina |
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Soggetti |
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Computer mathematics |
Mechanics |
Mechanics, Applied |
Mathematical physics |
Computational Science and Engineering |
Solid Mechanics |
Mathematical Applications in the Physical Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Models for Double and Triple Porosity -- Double Porosity and Voids -- Comparison of Porosity and Voids Theories -- Uniqueness and Stability by Energy Methods -- Uniqueness Without Definiteness Conditions -- Continuous Dependence in Multi-Porosity Elasticity -- Waves in Double Porosity Elasticity -- Acceleration Waves in Double Voids -- Double Porosity and Second Sound. |
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Sommario/riassunto |
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This book is devoted to describing theories for porous media where such pores have an inbuilt macro structure and a micro structure. For example, a double porosity material has pores on a macro scale, but additionally there are cracks or fissures in the solid skeleton. The actual body is allowed to deform and thus the underlying theory is one of elasticity. Various different descriptions are reviewed. Chapter 1 introduces the classical linear theory of elastodynamics together with uniqueness and continuous dependence results. Chapters 2 and 3 review developments of theories for double and triple porosity using a pressure-displacement structure and also using voids-displacement. Chapter 4 compares various aspects of the pressure-displacement and |
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