Microcontinuum Theories

1. Auflage 2026
ISBN: 978-1-032-77740-5
Verlag: Taylor & Francis Ltd

Buch, Englisch, 632 Seiten, Format (B × H): 174 mm x 246 mm, Gewicht: 453 g

Microcontinuum Theories presents a comprehensive treatment of this field for materials whose deformation physics cannot be adequately described by classical continuum mechanics. It addresses materials containing microconstituents, such as primitive lattice structures, liquid crystals with bar or plate elements, blood flow, chopped-fiber composites, slurry flow, and various synthesized materials, where the kinematics of microconstituents significantly influences bulk deformation behavior.

The text provides rigorous development of both linear and nonlinear formulations of micropolar, microdilation, and micromorphic theories, offering the sophisticated mathematical frameworks necessary to model these complex material systems. It systematically builds the theoretical foundations required to analyze continuous matter where classical continuum mechanics proves inadequate in describing deformation physics.

Designed as a graduate-level textbook for a one-semester course, the book serves both as a pedagogical resource for students and as an authoritative reference for physicists and engineers specializing in continuum theories and applied mechanics.

Zielgruppe

Postgraduate

Autoren/Hrsg.

Surana, Karan S.

Mathi, Sri Sai C.

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Naturwissenschaften Physik Thermodynamik

Inhaltsverzeichnis

1. Introduction

2. Kinematics

3. Stress and Moment Tensors

4. Rates, Convected Time Derivatives and Objective Rates

5. Conservation and Balance Laws; Eulerian Description (Micropolar Continua)

6. Conservation and Balance Laws in Lagrangian Description (Micropolar Continua)

7. Constitutive Considerations

8. Constitutive Theory for Micropolar TES

9. Constitutive Theories for Micropolar TVES without Memory

10. Constitutive Theories for Micropolar TVES with Memory

11. Constitutive Theories for Micropolar TVF

12. Constitutive Theories for Micropolar TVES with Rheology

13. Microstretch Micro continuum Theories

14. Micromorphic Microcontinuum Theories

Über Autor(innen)

Karan S. Surana received B.E. degree from Birla Institute of Technology and Science (BITS), Pilani, India in 1965 and M.S and Ph.D. from the University of Wisconsin, Madison in 1967 and 1970. He then worked in software industry for 14 years before joining the University of Kansas, Mechanical Engineering in 1984. Currently, he is Deane E. Ackers University Distinguished Professor in the Department of Mechanical Engineering at the University of Kansas. He is a fellow and life member of ASME and a member of European Academy of Science and Arts. His area of interest, teaching and research are: classical, nonclassical and microcontinuum theories including constitutive theories as well as continuum theory for additive manufactured materials; computational mathematics and computational mechanics with specialization in finite element methods. He is the author of recently published textbooks: Advanced Mechanics of Continua, CRC/Taylor & France (9780367612962), The Finite Element Method for Boundary Value Problems: Mathematics and Computations, CRC/Taylor & Francis (9781498780506), The Finite Element Method for Initial Value Problems: Mathematics and Computations, CRC/Taylor & Francis (9781498780506), Numerical Methods and Methods of Approximation in Science and Engineering, CRC/Taylor & Francis (9780367136727), and Classical Continuum Mechanics, CRC/Taylor & Francis( 9780367612962)

Sri Sai Charan Mathi received his PhD in Mechanical Engineering from The University of Kansas, with a focus on Continuum Mechanics and Computational Mathematics. His work centers on the formulation of thermodynamically and mathematically consistent nonclassical continuum theories. His interests include the systematic development and interpretation of microcontinuum theories for both theoretical understanding and engineering applications.