Constraint manifolds for isotropic solids

DOI10.1007/BF00250833zbMath0678.73004OpenAlexW1966968609MaRDI QIDQ1124402

S. H. Smith

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00250833

zbMATH Keywords

rigidityincompressibilityconformalitycompatible constraints of submaximal dimensionconsistently orientable pure isotropic constraintconstraint of maximal dimension

Mathematics Subject Classification ID

Crystalline structure (74E15) Applications of global analysis to the sciences (58Z05) Applications of global differential geometry to the sciences (53C80) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (21)

On general principles of the theory of constitutive relations in classical continuum mechanics ⋮ An intrinsic geometric formulation of hyper-elasticity, pressure potential and non-holonomic constraints ⋮ On the Propagation of Progressive Waves in Prestressed, Linearly Elastic, Transversely Isotropic, Kirchhoff Plate-Like Bodies ⋮ Universal Relations in Constrained Elasticity ⋮ Universal Generalized Plane Deformations in Constrained Elasticity ⋮ Linearization of response mappings in constrained elasticity ⋮ Constraint manifolds with constant reaction spaces ⋮ The representation problem for constrained hyperelastic materials ⋮ Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint ⋮ Elastic bodies reinforced with inextensible surfaces ⋮ Geometry of constraint manifolds and wave propagation in internally constrained elastic bodies ⋮ On hyperelasticity with internal constraints ⋮ Internal constraints in finite elasticity: manifolds or not ⋮ Stochastic evolution of microcracks in continua ⋮ On the stress in an internally constrained elastic material ⋮ The theory of Kirchhoff rods as an exact consequence of three-dimensional elasticity ⋮ On isotropic constraints ⋮ An exact derivation of the thin plate equation ⋮ Single and multiple material constraints in thermoelasticity ⋮ Constraint groups ⋮ On purely mechanical simple kinematic internal constraints

Cites Work

• On the response and symmetry of elastic materials with internal constraints
• Lectures on the foundation of continuum mechanics and thermodynamics
• An introduction to continuum mechanics
• The thermodynamics of constrained materials
• Unnamed Item

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