Compendium on gradient materials / Albrecht Bertram.
Bertram, A. (Albrecht), author.
2023
TA405
Available Online

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Title Compendium on gradient materials / Albrecht Bertram.
Author Bertram, A. (Albrecht), author.
ISBN 9783031045004 (electronic bk.)
3031045009 (electronic bk.)
9783031044991 (print)
3031044991
DOI https://doi.org/10.1007/978-3-031-04500-4
Published Cham, Switzerland : Springer, [2023]
Language English
Description 1 online resource (xiv, 293 pages) : color illustrations
Item Number 10.1007/978-3-031-04500-4 doi
Call Number TA405
Dewey Decimal Classification 620.1/1292
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 7, 2022).
Available in Other Form Print version: 9783031044991
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Introduction
Balance Laws
Material Theory of Second-Gradient Materials
Material Theory of Third-Gradient Materials
N th-Order Gradient Materials under Small Deformations
Second-Order Gradient Elasticity and Plasticity under Small Deformations
Isotropic Stiffness Hexadics
Internal Constraints
Nth-Order Gradient Fluids.

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