Articles liés à Mathematical Aspects of Multi–porosity Continua

Mathematical Aspects of Multi–porosity Continua - Couverture rigide

Livre 32 sur 38: Advances in Mechanics and Mathematics

Straughan, Brian

 
9783319701714: Mathematical Aspects of Multi–porosity Continua
Couverture rigide
ISBN 10 : 3319701711 ISBN 13 : 9783319701714
Editeur : Springer International Publishing AG, 2017

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2017
Langue
anglais
ISBN 10 
3319701711
ISBN 13 
9783319701714
Reliure
Relié
Numéro d'édition
1
Nombre de pages
217
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