Discrete and continuous bodies with affine structure

DOI10.1007/BF02411819zbMath0358.73080MaRDI QIDQ1238492

G. Capritz, Paolo Podio-Guidugli

Publication date: 1976

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items

Computational aspects of the mechanics of complex materials ⋮ Continuum equations of balance in classical statistical mechanics ⋮ On a statistical-kinetic model for generalized continua ⋮ On the relationship between balance relations for generalized continua and molecular behaviour ⋮ Materials with spherical structure ⋮ Flexural instabilities of elastic rods ⋮ A direct theory of affine bodies ⋮ Statistical foundations of liquid-crystal theory. I: Discrete systems of rod-like molecules ⋮ The ephemeral nature of Navier-Stokes-\(\alpha\beta\) continua ⋮ Formal structure and classification of theories of oriented materials ⋮ Internal Variables and Scale Separation in Dynamics of Microstructured Solids ⋮ Structured continua from a Lagrangian point of view ⋮ On balance equations for materials with affine structure ⋮ A corpuscular approach to continuum mechanics: Basic considerations

Cites Work

• Exact theory of stress and strain in rods and shells
• On the basic laws of reacting mixtures of structures continua
• Formal structure and classification of theories of oriented materials
• Lectures on the foundation of continuum mechanics and thermodynamics
• Theories of elasticity with couple-stress
• Materially uniform simple bodies with inhomogeneities
• Simple force and stress multipoles
• Micro-structure in linear elasticity
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