Surface Transport in Continuum Mechanics

DOI10.1177/1081286507087316zbMath1197.74012OpenAlexW2080584909MaRDI QIDQ3161511

Huang Tang, Roger L. Fosdick

Publication date: 15 October 2010

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286507087316

zbMATH Keywords

4D representationsurface gradientsurface transportnormal-time derivativeparameter-time derivative

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50)

Related Items (8)

Free-surface film flow over topography: full three-dimensional finite element solutions ⋮ Kinematics of hypersurfaces in Riemannian manifolds ⋮ Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion ⋮ An adjoint method for control of liquid-gas flows using a sharp interface model ⋮ Roughening it — evolving irregular domains and transport theorems ⋮ A transport theorem for nonconvecting open sets on an embedded manifold ⋮ Evolution of surfaces and the kinematics of membranes ⋮ Moving regions in Euclidean space and Reynolds’ transport theorem

Cites Work

• Multiphase thermomechanics with interfacial structure. III: Evolving phase boundaries in the presence of bulk deformation
• A continuum theory of elastic material surfaces
• Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces
• A transport theorem for moving interfaces

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