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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Informatik & EDV Allg. & Lexika Mathematical Aspects of Multi–Porosity Continua
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Beschreibung
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 voids-displacement theories via uniqueness studies and wave motion analysis. Mathematical analyses of double and triple porosity materials are included concentrating on uniqueness and stability studies in chapters 5 to 7. In chapters 8 and 9 the emphasis is on wave motion in double porosity materials with special attention paid to nonlinear waves. The final chapter embraces a novel area where an elastic body with a double porosity structure is analyzed, but the thermodynamics allows for heat to travel as a wave rather than simply by diffusion. This book will be of value to mathematicians, theoretical engineers and other practitioners who are interested in double or triple porosity elasticity and its relevance to many diverse applications. 60,98 €
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Technische Daten
Erscheinungsdatum
04.09.2018
Sprache
Englisch
EAN
9783319888958
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Advances in Mechanics and Mathematics
Sonderedition
Nein
Autor
Brian Straughan
Seitenanzahl
208
Einbandart
Broschiert
Autorenporträt
Brian Straughan is a Professor in the Department of Mathematical Sciences at Durham University in Durham, UK. He is a member of the Center for the Coevolution of Biology and Culture, and his research interests include: computational mathematics, partial differential equations, and stability.
Schlagwörter
Double Porosity, Triple Porosity, Elasticity, Continuous Dependence, Waves, Second Sound, Continuum Mechanics, Multi-Porosity Continua
Thema-Inhalt
PBKS - Numerische Mathematik
TGMD - Maschinenbau: Festkörpermechanik
PHU - Mathematische Physik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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