Overview
Lists frameworks for the material modeling of gradient materials
Shows material modeling of second and third-order materials under finite deformations
Limits the scope to the geometrically linear theory
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book offers frameworks for the material modeling of gradient materials both for finite and small deformations within elasticity, plasticity, viscosity, and thermomechanics. The first chapter focuses on balance laws and holds for all gradient materials. The next chapters are dedicated to the material modeling of second and third-order materials under finite deformations. Afterwards the scope is limited to the geometrically linear theory, i.e., to small deformations. The next chapter offers an extension of the concept of internal constraints to gradient materials. The final chapter is dedicated to incompressible viscous gradient fluids with the intention to describe, among other applications, turbulent flows, as already suggested by Saint-Venant in the middle of the 19th century.
Authors and Affiliations
Bibliographic Information
Book Title: Compendium on Gradient Materials
Authors: Albrecht Bertram
DOI: https://doi.org/10.1007/978-3-031-04500-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-04499-1Published: 29 May 2022
Softcover ISBN: 978-3-031-04502-8Published: 29 May 2023
eBook ISBN: 978-3-031-04500-4Published: 28 May 2022
Edition Number: 1
Number of Pages: XIV, 293
Number of Illustrations: 7 illustrations in colour
Topics: Mechanical Engineering, Classical and Continuum Physics, Materials Science, general