Continuum thermodynamics. (2019)

• Record Type: Book
• Further Information: Note: Paolo Podio-Guidugli.
• Authors: Podio-Guidugli, Paolo
• Contents: Intro; Preface; Contents; About the Author; 1 Heat Conduction; 1.1 Energy Balance and Entropy Imbalance; 1.2 The Clausius-Duhem Inequality; 1.3 Internal Dissipation, Helmholtz Free Energy, Reduced Dissipation Inequality; 1.4 Constitutive Restrictions via the Coleman-Noll Procedure; 1.5 Specific Heat. The Gibbs Relations; 1.6 The Heat Equation; 1.7 More on the Heat Equation; 1.7.1 Gradient-Flow Deduction; 1.7.2 Time Asymptotics; 1.8 Nonstandard Issues; 1.8.1 On Proportionality of Energy and Entropy Inflows; 1.8.2 Hyperbolic Heat Conduction; 1.9 Order Parameters. State and Substate Variables 2 Thermomechanics2.1 Referential and Current Densities; 2.2 Energy Balance, Entropy Imbalance, and Reduced Dissipation Inequality; 2.3 Referential Versions of the Governing Laws; 2.4 The Constitutive Equations of Thermoelasticity; 2.5 The Constitutive Equations of Thermoviscoelasticity; 2.6 Internal Dissipation in Purely Mechanical Circumstances; 3 The Principle of Virtual Powers; 3.1 The PVP as a Source of Balances and Representations; 3.2 The PVP as a Source of Evolution Equations; 3.3 The PVP as a Dimension-Reduction Tool; 3.3.1 From 3D to 1D: Beam Theory; 3.3.2 From 3D to 2D: Plate Theory 4 A Virtual Power Format for Thermomechanics4.1 The General Case; 4.2 The Balance and Imbalance Laws of Thermal Conduction; 4.2.1 Axiom of Conservation of Internal Action; 4.2.2 Dissipation Axiom; 5 A Physical Interpretation of Thermal Displacement; 5.1 From Helmholtz and de Broglie to Einstein and Langevin; 5.2 How to Interpret Thermal Displacement Following the Einstein Path; 5.3 How to Interpret Thermal Displacement Following the Langevin Path; Appendix Basic Notions of Continuum Mechanics; A.1 Deformation, Motion; A.2 Evolution/Balance Laws. Inertial Objects A.3 A Few Bits of Linear AlgebraA.4 Observer Changes; A.5 Invariance of External Power. Translational Balance of Forces; A.6 Cauchy Stress; A.7 Stress Power. Rotational Balance of Forces; A.8 Velocity. Referential and Current Fields. Velocity Gradient. Stretching and Spin; A.9 Rigid Motions; References; ; Index
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource (xi, 76 pages), illustrations
• Subjects: 536/.7; Thermodynamics; Continuum mechanics; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030111571; 3030111571
• Related ISBNs: 9783030111564
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 6, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.