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Interdisciplinary Applied Mathematics

Potential Method in Mathematical Theories of Multi-Porosity Media

Authors: Svanadze, Merab

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  • Applies the potential method to non-classical three-dimensional problems of the modern mathematical theories of elasticity and thermoelasticity for quadruple porosity materials
  • Suggests future areas of research by presenting readers with numerous perspectives to explore after they have finished
  • Provides a self-contained overview of theory and research, addressing a wide audience of mathematicians, physicists, engineers, and researchers from a variety of fields
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-28022-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-28021-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials.  These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain).  
Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials.  The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models.
Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-28022-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-28021-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Potential Method in Mathematical Theories of Multi-Porosity Media
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
51
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-28022-2
DOI
10.1007/978-3-030-28022-2
Hardcover ISBN
978-3-030-28021-5
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XVI, 302
Number of Illustrations
1 b/w illustrations
Topics