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Compendium on Gradient Materials

Autor Albrecht Bertram
en Limba Engleză Paperback – 28 mai 2023
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.

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Specificații

ISBN-13: 9783031045028
ISBN-10: 3031045025
Ilustrații: XIV, 293 p. 7 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.44 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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