On a statistical-kinetic model for generalized continua

DOI10.1007/BF00375403zbMath0719.73003MaRDI QIDQ2640368

Mario Pitteri

Publication date: 1990

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

invarianceframe indifferenceideal constraintsbalance of energyfinite combination of mass pointsfinite number of subsystemsstatistical-kinetic evolution

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Theory of constitutive functions in solid mechanics (74A20) General models, approaches, and methods in mechanics of particles and systems (70G99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (10)

Thermodynamic and rate variational formulation of models for inhomogeneous gradient materials with microstructure and application to phase field modeling ⋮ Trends and challenges in the mechanics of complex materials: a view ⋮ Interactions in a multi-scale representation of sparse media: from mechanics to thermodynamics ⋮ Statistical foundations of liquid-crystal theory. II: Macroscopic balance laws ⋮ Constitutive relations for polar continua based on statistical mechanics and spatial averaging ⋮ Genesis of the multiscale approach for materials with microstructure ⋮ Objective fluxes in a multi-scale continuum description of sparse medium dynamics ⋮ On the continuum modeling of materials with kinematic structure ⋮ A unified interpretation of stress in molecular systems ⋮ Reviewing the roots of continuum formulations in molecular systems. Part I: Particle dynamics, statistical physics, mass and linear momentum balance equations

Cites Work

• Structured continua from a Lagrangian point of view
• Continua with latent microstructure
• A corpuscular approach to continuum mechanics: Basic considerations
• Continuum equations of balance in classical statistical mechanics
• On the relationship between balance relations for generalized continua and molecular behaviour
• On the equations of balance for mixtures constructed by means of classical statistical mechanics
• Materials with spherical structure
• Discrete and continuous bodies with affine structure
• On balance equations for materials with affine structure
• Multipolar continuum mechanics
• A unified theory of thermomechanical materials
• Linear theory of micropolar viscoelasticity
• Metodo di assiomatizzazione in senso stretto della meccanica classica. Applicazione di esso ad alcuni problemi di assiomatizzazione non ancora completamente risolti
• On Cauchy's equations of motion
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