Advances in applied mechanics. Volume 46 /

• Άλλοι συγγραφείς: Bordas, Stéphane P. (Επιμελητής έκδοσης)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: San Diego, Calif. : Academic Press, 2013.
• Έκδοση: 1st ed.
• Θέματα: Mechanics, Applied.; TECHNOLOGY & ENGINEERING > Engineering (General); TECHNOLOGY & ENGINEERING > Reference.; Electronic books.

Advances in Applied Mechanics draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers w...

Πίνακας περιεχομένων:

• Front Cover; Advances in Applied Mechanics; Copyright; Contents; Contributors; Preface; References; Chapter One: Continuum Theory for the Edge of an Open Lipid Bilayer; 1. Introduction; 2. Mathematical Preliminaries; 2.1. Superficial fields; 2.2. Differential geometry of the surface; 2.3. Useful differential and integral identities; 2.4. Differential geometry of the edge; 2.5. Notational conventions; 3. Variations of Geometric Quantities, Integrals over Surfaces and Curves, and Volume; 3.1. Areal quantities; 3.1.1. Unit normal; 3.1.2. Projector; 3.1.3. Curvature tensor; 3.1.4. Mean curvature.
• 3.1.5. Gaussian curvature3.1.6. Virtual areal Jacobian; 3.1.7. Surface integral of a spatial field; 3.2. Lineal quantities; 3.2.1. Virtual lineal stretch; 3.2.2. Unit tangent; 3.2.3. Tangent-normal vector; 3.2.4. Arclength derivative of a generic quantity; 3.2.5. Curvature vector; 3.2.6. Normal curvature; 3.2.7. Geodesic curvature; 3.2.8. Geodesic torsion; 3.2.9. Curve integral of a spatial field; 3.3. Volume; 4. Variational Derivation of the Equilibrium Equations of a Lipid Vesicle; 4.1. Variation of the net free-energy; 4.2. Virtual volumetric work; 4.3. Virtual work of the areal loads.
• 4.4. Combined results5. Variational Derivation of the Equilibrium Equations of an Open Lipid Bilayer with Edge Energy; 5.1. Constant edge-energy density; 5.1.1. Variation of the net free-energy of the surface; 5.1.2. Virtual work of the areal loads; 5.1.3. Variation of the net free-energy of the edge; 5.1.4. Virtual work of the lineal loads; 5.1.5. The equilibrium equations; 5.2. Geometry-dependent edge-energy density; 6. Force and Bending Moment Exerted by an Open Lipid Bilayer on Its Edge; 6.1. Force and bending moment expressions; 7. Alternative Treatment of the Edge; 7.1. Edge kinematics.
• 7.1.1. Geometry of deformation7.1.2. Commutator and transport identities; 7.2. Balance laws; 7.3. Constitutive equations and thermodynamic restrictions; 7.3.1. Free-energy imbalance; 7.3.2. Constitutive assumptions; 7.3.3. Local form of the free-energy imbalance; 7.3.4. Thermodynamic restrictions on the elastic contributions to the internal force and internal moment; 7.3.5. Reduced dissipation inequality. Restrictions on the viscous contributions to the internal force and internal moment; 7.4. Governing equations; 7.5. Retrieving the Euler-Lagrange equations at the edge; 8. Summary.
• AcknowledgmentsReferences; Chapter Two: A Variational Approach to Modeling Coupled Thermo-Mechanical Nonlinear Dissipative Behaviors; 1. Introduction; 2. General Modeling Framework; 2.1. Local thermodynamic model; 2.2. Balance equations; 3. Variational Formulation of Coupled Thermo-Mechanical Boundary-Value Problems; 3.1. Variational updates; 3.1.1. Local evolution problem; 3.1.2. Local time-discrete constitutive problem; 3.2. Variational boundary-value problem; 3.2.1. Rate problem; 3.2.2. Incremental boundary-value problem; 3.2.3. Mixed thermal boundary conditions; 3.3. Dynamics.