On the identification of continuum concepts and fields with molecular variables

DOI10.1007/s00161-010-0146-9zbMath1272.74014OpenAlexW2116227720MaRDI QIDQ367897

A. Ian Murdoch

Publication date: 17 September 2013

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-010-0146-9

zbMATH Keywords

couple-stress and heat fluxnon-uniqueness of stress

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Statistical mechanics of liquids (82D15) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (4)

From point particles to body points ⋮ Reviewing the roots of continuum formulations in molecular systems. Part II: Energy and angular momentum balance equations ⋮ Constitutive relations for polar continua based on statistical mechanics and spatial averaging ⋮ Reviewing the roots of continuum formulations in molecular systems. Part I: Particle dynamics, statistical physics, mass and linear momentum balance equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On time-dependent material systems
• On the physical interpretation of fields in continuum mechanics
• A corpuscular approach to continuum mechanics: Basic considerations
• Elastic materials with couple-stresses
• A continuum theory of elastic material surfaces
• Thermodynamics of an interface
• A scale-dependent model of the boundary of a solid body
• A microscopic perspective on the physical foundations of continuum mechanics. I: Macroscopic states, reproducibility, and macroscopic statistics, at prescribed scales of length and time
• On the microscopic interpretation of stress and couple stress
• An introduction to continuum mechanics
• A critique of atomistic definitions of the stress tensor
• Some primitive concepts in continuum mechanics regarded in terms of objective space-time molecular averaging: the key rôle played by inertial observers
• Effects of couple-stresses in linear elasticity
• Viscous flow in smectic A liquid crystals
• Macroscale balance relations for bulk, interfacial and common line systems in multiphase flows through porous media on the basis of molecular considerations
• On molecular modelling and continuum concepts

This page was built for publication: On the identification of continuum concepts and fields with molecular variables