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Continuum Mechanics with Eulerian Formulations of Constitutive Equations
Taschenbuch von M. B. Rubin
Sprache: Englisch

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Beschreibung
This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic¿inelastic materials; thermoelastic¿inelastic materials with application to shock waves; thermoelastic¿inelastic porous materials; and thermoelastic¿inelastic growing biological tissues.
This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic¿inelastic materials; thermoelastic¿inelastic materials with application to shock waves; thermoelastic¿inelastic porous materials; and thermoelastic¿inelastic growing biological tissues.
Über den Autor
The author received his Ph.D in Applied Mechanics under the supervision of Professor PM Naghdi at the University of California, Berkeley. After working at SRI International (formerly the Stanford Research Institute) for three years he joined the Faculty of Mechanical Engineering at Technion, where he completed his entire academic career, retiring as a Professor Emeritus. He conducted research as a visiting Faculty at Lawrence Livermore National Laboratory for over thirty years. He has taught Continuum Mechanics at Technion for thirty-five years and has authored over 180 journal papers. In addition, in 2000 he published a book entitled: Cosserat Theories: Shells, Rods and Points.
Zusammenfassung

Focuses on Eulerian formulation of constitutive equations

Written by a leading expert in the field

Presents state-of-the-art findings

Inhaltsverzeichnis
Introduction.- Basic tensor analysis.- Kinematics.- Balance laws for the purely mechanical theory.- Purely mechanical constitutive equations.- Thermomechanical Theory.- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor.- Consequences of Continuity.- Lagrange Multipliers.- Stationary Values of Normal And Shear Stresses.- Isotropic Tensors.- An introduction to tensors with respect to curvilinear coordinates.- Summary of tensor operations in specific coordinate systems.
Details
Erscheinungsjahr: 2021
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 292
Reihe: Solid Mechanics and Its Applications
Inhalt: xiii
277 S.
25 s/w Illustr.
277 p. 25 illus.
ISBN-13: 9783030577780
ISBN-10: 3030577783
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rubin, M. B.
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Solid Mechanics and Its Applications
Maße: 235 x 155 x 16 mm
Von/Mit: M. B. Rubin
Erscheinungsdatum: 11.10.2021
Gewicht: 0,446 kg
preigu-id: 120561594
Über den Autor
The author received his Ph.D in Applied Mechanics under the supervision of Professor PM Naghdi at the University of California, Berkeley. After working at SRI International (formerly the Stanford Research Institute) for three years he joined the Faculty of Mechanical Engineering at Technion, where he completed his entire academic career, retiring as a Professor Emeritus. He conducted research as a visiting Faculty at Lawrence Livermore National Laboratory for over thirty years. He has taught Continuum Mechanics at Technion for thirty-five years and has authored over 180 journal papers. In addition, in 2000 he published a book entitled: Cosserat Theories: Shells, Rods and Points.
Zusammenfassung

Focuses on Eulerian formulation of constitutive equations

Written by a leading expert in the field

Presents state-of-the-art findings

Inhaltsverzeichnis
Introduction.- Basic tensor analysis.- Kinematics.- Balance laws for the purely mechanical theory.- Purely mechanical constitutive equations.- Thermomechanical Theory.- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor.- Consequences of Continuity.- Lagrange Multipliers.- Stationary Values of Normal And Shear Stresses.- Isotropic Tensors.- An introduction to tensors with respect to curvilinear coordinates.- Summary of tensor operations in specific coordinate systems.
Details
Erscheinungsjahr: 2021
Fachbereich: Fertigungstechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 292
Reihe: Solid Mechanics and Its Applications
Inhalt: xiii
277 S.
25 s/w Illustr.
277 p. 25 illus.
ISBN-13: 9783030577780
ISBN-10: 3030577783
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rubin, M. B.
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Solid Mechanics and Its Applications
Maße: 235 x 155 x 16 mm
Von/Mit: M. B. Rubin
Erscheinungsdatum: 11.10.2021
Gewicht: 0,446 kg
preigu-id: 120561594
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