Quasistatic evolution of sessile drops and contact angle hysteresis

DOI10.1007/s00205-011-0427-xzbMath1276.76016OpenAlexW2117655660WikidataQ59202199 ScholiaQ59202199MaRDI QIDQ715329

Giovanni Alberti, Antonio De Simone

Publication date: 5 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00205-011-0427-x

zbMATH Keywords

capillarityrate-independent dissipationYoung formula

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Multiphase and multicomponent flows (76T99) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

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Cites Work

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• Capillary drops: contact angle hysteresis and sticking drops
• A vanishing viscosity approach to quasistatic evolution in plasticity with softening
• Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)
• Phase transition with the line-tension effect
• An introduction to \(\Gamma\)-convergence
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Existence results for energetic models for rate-independent systems
• The Gibbs-Thompson relation within the gradient theory of phase transitions
• Revisiting brittle fracture as an energy minimization problem
• Quasistatic evolution problems for linearly elastic-perfectly plastic materials
• Weak convergence of completely additive vector functions on a set
• A new model for contact angle hysteresis
• Differential, Energetic, and Metric Formulations for Rate-Independent Processes
• BV solutions and viscosity approximations of rate-independent systems
• Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model
• QUASISTATIC EVOLUTION FOR CAM-CLAY PLASTICITY: EXAMPLES OF SPATIALLY HOMOGENEOUS SOLUTIONS
• Wetting of rough surfaces: a homogenization approach