Mathematical Aspects of Multi-Porosity Continua (Hardcover, 1st ed. 2017)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Advances in Mechanics and Mathematics, 38
Release date:	December 2017
First published:	2017
Authors:	Brian Straughan
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	208
Edition:	1st ed. 2017
ISBN-13:	978-3-319-70171-4
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Professional & Technical > Mechanical engineering & materials > Materials science > General Promotions
LSN:	3-319-70171-1
Barcode:	9783319701714

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