Thermodynamical Theory of Directed Curves

DOI10.1063/1.1665780zbMath0242.73004OpenAlexW2082492459MaRDI QIDQ5653651

Carl N. DeSilva, A. B. Whitman

Publication date: 1971

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1665780

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15)

Related Items (15)

On a thermodynamic theory of rods with two temperature fields ⋮ Special Cosserat rods with rate-dependent evolving natural configurations ⋮ Elastic rods with stretched cross-sections ⋮ Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity ⋮ Shock waves in curved beams ⋮ A thermoelastoplastic theory for special Cosserat rods ⋮ A further work on directed rods ⋮ An exact solution in a nonlinear theory of rods ⋮ Mixture theory of directed surfaces and a model of the cornea ⋮ A general theory of directed surfaces ⋮ A mathematical model of the spine based on mixture theory of directed curves ⋮ Two- and three-dimensional elastic networks with rigid junctions: modeling within the theory of micropolar shells and solids ⋮ Stability in a linear theory of elastic rods ⋮ Nonuniqueness of equilibrium states for bars in tension ⋮ A theory of concentrated suspensions

Cites Work

• Exact theory of stress and strain in rods and shells
• Multipolar continuum mechanics
• A linear theory of straight elastic rods
• Large deformations, superposed small deformations and stability of elastic rods
• On thermodynamics of directed continuous media
• A dynamical theory of elastic directed curves
• Dynamics and stability of elastic Cosserat curves
• A theory of transversely isotropic fluids

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