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Compendium on Gradient Materials de Albrecht Bertram

Compendium on Gradient Materials

Autor Albrecht Bertram
en Limba Engleză Hardback – 29 mai 2022
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: 9783031044991
ISBN-10: 3031044991
Pagini: 308
Ilustrații: XIV, 293 p. 7 illus. in color.
Dimensiuni: 160 x 241 x 23 mm
Greutate: 0.58 kg
Ediția:1st ed. 2022
Editura: 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.

Notă biografică

Albrecht Bertram, born in 1950, is professor for engineering mechanics at the University of Magdeburg and the Technical University of Berlin. He was visiting professor at Paris Tech and the University of California in Berkeley. His field of research is continuum mechanics and in particular, material modeling (elasticity, plasticity, viscoelasticity, damage, anisotropy, micro-macro, gradient materials, etc.). He is editor of the journal Technische Mechanik and initiator of the series International Conferences on Material Modeling. Rainer Glüge, born in 1980, is a researcher, tutor and lecturer in the field of continuum mechanics and material modeling in the same group. His research interests are the theory of composites, scale bridging methods between micro- and macro scale, material modeling of phase transitions in solids and the nonlinear theory of elasticity.