The energy of a growing elastic surface

DOI10.1016/S0020-7683(97)00268-0zbMath0934.74015OpenAlexW2050989404WikidataQ126296658 ScholiaQ126296658MaRDI QIDQ1282695

Andrew N. Norris

Publication date: 25 April 2000

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(97)00268-0

zbMATH Keywords

Cauchy stressbulk energyEshelby stress tensorschemical potentialEshelby stresssurface energy densityPiola-Kirchhoff stressenergy-momentum stressLagrangian/Eulerian expressionspotential energy of elastic surface

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Elastic materials (74B99)

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A combined accretion and surface growth model in the framework of irreversible thermodynamics ⋮ A contribution to the mechanics and thermodynamics of surface growth. Application to bone external remodeling ⋮ Mechanical modeling of growth considering domain variation. II: Volumetric and surface growth involving Eshelby tensors ⋮ The effect of surface stress on the configurational equilibrium of voids and cracks ⋮ Effective equations governing an active poroelastic medium ⋮ The role of Eshelby stress in composition-generated and stress-assisted diffusion ⋮ The role of the configurational force balance in the nonequilibrium epitaxy of films

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