03016nam 22006015 450 991057406560332120251113210322.09783031045004(electronic bk.)978303104499110.1007/978-3-031-04500-4(MiAaPQ)EBC7001518(Au-PeEL)EBL7001518(CKB)22978597200041(OCoLC)1328136704(DE-He213)978-3-031-04500-4(EXLCZ)992297859720004120220528d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCompendium on Gradient Materials /by Albrecht Bertram1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (307 pages)Engineering SeriesPrint version: Bertram, Albrecht Compendium on Gradient Materials Cham : Springer International Publishing AG,c2022 9783031044991 Includes bibliographical references.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.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.Engineering SeriesMechanical engineeringContinuum mechanicsMaterials scienceMechanical EngineeringContinuum MechanicsMaterials ScienceMechanical engineering.Continuum mechanics.Materials science.Mechanical Engineering.Continuum Mechanics.Materials Science.620.11292620.118Bertram A(Albrecht),851606MiAaPQMiAaPQMiAaPQ9910574065603321Compendium on gradient materials2994821UNINA