0000000000810644

AUTHOR

Kaushik Dayal

showing 2 related works from this author

Fractional hereditariness of lipid membranes: Instabilities and linearized evolution

2016

In this work lipid ordering phase changes arising in planar membrane bilayers is investigated both accounting for elas- ticity alone and for effective viscoelastic response of such assemblies. The mechanical response of such membranes is studied by minimizing the Gibbs free energy which penalizes perturbations of the changes of areal stretch and their gradients only [1]. As material instabilities arise whenever areal stretches characterizing homogeneous configurations lie inside the spinoidal zone of the free energy density, bifurcations from such configurations are shown to occur as oscillatory perturbations of the in-plane displacement. Experimental observations [2] show a power-law in-pl…

0301 basic medicineViscoelastic lipid membranePhase transitionMembrane Fluidity0206 medical engineeringLipid BilayersBiomedical EngineeringSeparation of variablesFOS: Physical sciences02 engineering and technologyviscoelastic lipid membranesCondensed Matter - Soft Condensed Matterfractional hereditary lipid membranesViscoelasticityFractional hereditary lipid membraneMaterial instabilitieBiomaterials03 medical and health sciencessymbols.namesakeFractional hereditary lipid membranes; Material instabilities; Phase transitions; Viscoelastic lipid membranes; Biomaterials; Biomedical Engineering; Mechanics of MaterialsVariational principleElasticity (economics)Phase transitionMembranesChemistryOscillationTime evolutionBiomaterial020601 biomedical engineeringElasticityGibbs free energyphase transitions030104 developmental biologyClassical mechanicsModels ChemicalMechanics of MaterialssymbolsSoft Condensed Matter (cond-mat.soft)material instabilitiesSettore ICAR/08 - Scienza Delle Costruzionifractional hereditary lipid membranes viscoelastic lipid membranes phase transitions material instabilities
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Fractional-order nonlinear hereditariness of tendons and ligaments of the human knee

2020

In this paper the authors introduce a nonlinear model of fractional-order hereditariness used to capture experimental data obtained on human tendons of the knee. Creep and relaxation data on fibrous tissues have been obtained and fitted with logarithmic relations that correspond to power-laws with nonlinear dependence of the coefficients. The use of a proper nonlinear transform allows one to use Boltzmann superposition in the transformed variables yielding a fractional-order model for the nonlinear material hereditariness. The fundamental relations among the nonlinear creep and relaxation functions have been established, and the results from the equivalence relations have been contrasted wi…

LogarithmQuasi-linear viscoelasticityGeneral MathematicsGeneral Physics and AstronomyHarmonic (mathematics)02 engineering and technology01 natural sciences010305 fluids & plasmasTendonsSuperposition principle0203 mechanical engineeringtendons and ligaments0103 physical sciencesHumansEquivalence relationnonlinear hereditarinessKneesingle-integralMechanical PhenomenaMathematicsPolynomial (hyperelastic model)LigamentsMathematical analysisGeneral EngineeringRelaxation (iterative method)Biomechanical PhenomenaFractional calculusNonlinear system020303 mechanical engineering & transportsNonlinear DynamicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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