On the formulation of mechanical balance laws for structured continua

DOI10.1007/BF00944745zbMath0782.73067OpenAlexW2008616440MaRDI QIDQ1185479

Morton E. Gurtin, Paolo Podio-Guidugli

Publication date: 28 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944745

zbMATH Keywords

microstressdirectorglobal dissipation inequalityinvariance under change of observermacrostressnondissipative liquid crystallsoriented hyperelastic materials

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Polar materials (74A35) Micromechanical theories (74A60) Liquid crystals (76A15)

Related Items (8)

On the continuum theory of deformable ferromagnetic solids ⋮ Manifolds in a Theory of Microstructures ⋮ A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results ⋮ Inertial and self interactions in structured continua: Liquid crystals and magnetostrictive solids ⋮ Wave hierarchies in continua with scalar microstructure in the plane and spherical symmetry ⋮ Covariant balance laws in continua with microstructure ⋮ Solitonic structures in KdV-based higher-order systems. ⋮ Shear waves in micro-faulted materials

Cites Work

• Liquid crystals with variable degree of orientation
• The thermodynamics of elastic materials with heat conduction and viscosity
• An introduction to continuum mechanics
• Theories of elasticity with couple-stress
• Simple force and stress multipoles
• On Cauchy's equations of motion
• Unnamed Item

This page was built for publication: On the formulation of mechanical balance laws for structured continua