Mathematical Aspects of Multi–Porosity Continua

• Main Author: Straughan, Brian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Advances in Mechanics and Mathematics, 38
• Subjects: Mathematics.; Mathematical physics.; Computer mathematics.; Continuum mechanics.; Computational Science and Engineering.; Continuum Mechanics and Mechanics of Materials.; Mathematical Applications in the Physical Sciences.

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...

Table of Contents:

• 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.