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Compendium on Gradient Materials
Author
Title
Compendium on Gradient Materials [electronic resource] / by Albrecht Bertram.
ISBN
9783031045004
Edition
1st ed. 2022.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2022.
Physical Description
1 online resource (XIV, 293 p.) 7 illus. in color.
Local Notes
Access is available to the Yale community.
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Access restricted by licensing agreement.
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.
Variant and related titles
Springer ENIN.
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Format
Books / Online
Language
English
Added to Catalog
June 07, 2022
Contents
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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