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Subject = Elasticity;
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Displaying Results 1  25 of 30 on page 1 of 2
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A mathematical model for elasticity using calculus on discrete manifolds
(2019)
Dassios, Ioannis K.; O'Keeffe, Gary; Jivkov, Andrey P.
A mathematical model for elasticity using calculus on discrete manifolds
(2019)
Dassios, Ioannis K.; O'Keeffe, Gary; Jivkov, Andrey P.
Abstract:
We propose a mathematical model to represent solid materials with discrete lattices and to analyse their behaviour by calculus on discrete manifolds. Focus is given on the mathematical derivation of the lattice elements by taking into account the stored energy associated with them. We provide a matrix formulation of the nonlinear system describing elasticity with exact kinematics, known as finite strain elasticity in continuum mechanics. This formulation is ready for software implementation and may also be used in atomic scale models as an alternative to existing empirical approach with pair and cohesive potentials. An illustrative example, analysing a local region of a node, is given to demonstrate the model performance.
Irish Research Council
Science Foundation Ireland
Engineering and Physical Sciences Research Council (EPSRC)
http://hdl.handle.net/10197/10636
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A study of the elastic and electronic properties of IIInitride semiconductors
(2017)
Tanner, Daniel Stephen Patrick
A study of the elastic and electronic properties of IIInitride semiconductors
(2017)
Tanner, Daniel Stephen Patrick
Abstract:
In this work, a theoretical study of the elastic and electronic properties of IIIN semiconductors is made. Particular attention is given to wurtzite quantum wells (QWs) based on the technologically important InxGa1_xN alloy system. An investigation of the effects of structural inhomogeneities in these systems is made; specifically, the impact of random alloy fluctuations and well width fluctuations on the electronic and optical properties is investigated. This investigation comprises atomistic tight binding calculations on large ( 80,000 atoms) supercells. The theoretical framework used accounts for local strain and polarisation fluctuations arising from random alloy effects and possesses the computational efficiency needed for the calculation of many electronic states for realistic QW sizes. An accurate account is thus given of the interplay between nanoscopic and atomistic features of InGaN quantum wells, which was beyond the reach of previous abinitio or continuum studies. The...
http://hdl.handle.net/10468/5459
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Cooperative contractility: the role of stress fibres in the regulation of cellcell junctions
(2016)
Ronan, William; McMeeking, Robert M.; Chen, Christopher S.; Deshpande, Vikram S.
Cooperative contractility: the role of stress fibres in the regulation of cellcell junctions
(2016)
Ronan, William; McMeeking, Robert M.; Chen, Christopher S.; Deshpande, Vikram S.
Abstract:
We present simulations of cellcell adhesion as reported in a recent study [Liu et al., 2010, PNAS, 107(22), 99449] for two cells seeded on an array of microposts. The micropost array allows for the measurement of forces exerted by the cell and these show that the cellcell tugging stress is a constant and independent of the cellcell junction area. In the current study, we demonstrate that a material model which includes the underlying cellular processes of stress fibre contractility and adhesion formation can capture these results. The simulations explain the experimentally observed phenomena whereby the cellcell junction forces increase with junction size but the tractions exerted by the cell on the micropost array are independent of the junction size. Further simulations on different types of micropost arrays and cell phenotypes are presented as a guide to future experiments. (C) 2014 Elsevier Ltd. All rights reserved.
Science Foundation Ireland grant 10/RFP/ENM2960 an...
http://hdl.handle.net/10379/5935
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Elastic suppression of boiling in network fluids: A mechanism for hardtoboil massecuite
(2019)
Hennessy, Matthew G.; Moyles, Iain R.; Thomson, Stuart J.
Elastic suppression of boiling in network fluids: A mechanism for hardtoboil massecuite
(2019)
Hennessy, Matthew G.; Moyles, Iain R.; Thomson, Stuart J.
Abstract:
The full text of this article will not be available in ULIR until the embargo expires on the 29/11/2020
Masson SAS Massecuite is a liquid mixture that is boiled to produce raw sugar. When formed from poorquality sugar cane, massecuite can be difficult to boil, leading to factory shutdowns lasting several weeks. This "hardtoboil" (HTB) massecuite is rich in longchained polysaccharides and thus exhibits a rheology that is dominated by elasticity. We examine how the rheology of massecuite affects the onset of boiling by proposing an extension of classical nucleation theory that accounts for the elastic energy of fluids containing a deformable solid network. The elasticity of a fluid is shown to suppress the onset of boiling through an increase in the boiling temperature, which is calculated to be a linear function of the shear modulus. Using experimental data, the model correctly predicts that regular and HTB massecuite should and should not boil under standard oper...
http://hdl.handle.net/10344/7904
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Electronic structure tuning via surface modification in semimetallic nanowires
(2016)
SanchezSoares, Alfonso; O'Donnell, Conor; Greer, James C.
Electronic structure tuning via surface modification in semimetallic nanowires
(2016)
SanchezSoares, Alfonso; O'Donnell, Conor; Greer, James C.
Abstract:
Electronic structure properties of nanowires (NWs) with diameters of 1.5 and 3 nm based on semimetallic α − Sn are investigated by employing density functional theory and perturbative GW methods. We explore the dependence of electron affinity, band structure, and bandgap values with crystallographic orientation, NW crosssectional size, and surface passivants of varying electronegativity. We consider four chemical terminations in our study: methyl (CH3), hydrogen (H), hydroxyl (OH), and fluorine (F). Results suggest a high degree of elasticity of SnSn bonds within the Sn NWs’ cores with no significant structural variations for nanowires with different surface passivants. Direct band gaps at Brillouinzone centers are found for most studied structures with quasiparticle corrected bandgap magnitudes ranging from 0.25 to 3.54 eV in 1.5nmdiameter structures, indicating an exceptional range of properties for semimetal NWs below the semimetaltosemiconductor transition. Bandgap vari...
http://hdl.handle.net/10468/3498
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Estimation of the impact of CAP reform on the structure of farming in the disadvantaged areas of Ireland
(2010)
Murphy, Eithne; Lally, Breda
Estimation of the impact of CAP reform on the structure of farming in the disadvantaged areas of Ireland
(2010)
Murphy, Eithne; Lally, Breda
Abstract:
In this paper the Johansen model was used to examine the impact of CAP Reform on the structure of farming in the Disadvantaged Areas of Ireland. The model is essentially a policy impact model using an elasticity set. Application of the model requires information on all relevant elasticities of outputs and inputs with respect to all output and input prices. These elasticities were estimated directly for a translog profit function from a combination of cross section and time series data. In order to test the usefulness of the model, a validation exercise was undertaken for the period 19921995. The model performed reasonably well in that the predicted direction of change in the volume of outputs and inputs was generally in the same direction as actual volume changes in outputs and inputs over the period tested.
http://hdl.handle.net/10379/1372
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Growth process, characterization, and modeling of electronic properties of coupled InAsSbP nanostructures
(2011)
Marquardt, Oliver; Hickel, Tilmann; Neugebauer, Joerg; Gambaryan, Karen M.; Aroutiounia...
Growth process, characterization, and modeling of electronic properties of coupled InAsSbP nanostructures
(2011)
Marquardt, Oliver; Hickel, Tilmann; Neugebauer, Joerg; Gambaryan, Karen M.; Aroutiounian, Vladimir M.
Abstract:
Quaternary IIIV InAsSbP quantum dots (QDs) have been grown in the form of cooperative InAsSb/InAsP structures using a modified version of the liquid phase epitaxy. High resolution scanning electron microscopy, atomic force microscopy, and Fouriertransform infrared spectrometry were used to investigate these socalled nanocamomiles, mainly consisting of a central InAsSb QD surrounded by six InAsPQDs, that shall be referred to as leaves in the following. The observed QDs average density ranges from 0.8 to 2 x 10(9) cm(2), with heights and widths dimensions from 2 to 20 nm and 5 to 45 nm, respectively. The average density of the leaves is equal to (610) x 10(9) cm(2) with dimensions of approx. 5 to 40 nm in width and depth. To achieve a first basic understanding of the electronic properties, we have modeled these novel nanostructures using secondorder continuum elasticity theory and an eightband k . p model to calculate the electronic structure. Our calculations found a clear ...
http://hdl.handle.net/10468/4734
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Incremental elastic surface waves and static wrinkles
(2015)
Gower, Artur Lewis
Incremental elastic surface waves and static wrinkles
(2015)
Gower, Artur Lewis
Abstract:
This articlebased thesis comprises a collection of four articles, each of which constitutes a chapter written and formatted in manuscript form. The general aim underlying these articles is to understand and predict how incremental elastic surface waves propagate or static wrinkles form on a deformed elastic substrate. The formation of these smallamplitude disturbances can be the end goal, such as in sending signals or creating functional coatings, or they can be used to measure and characterise the underlying elastic substrate. This thesis focuses on using surface waves or static wrinkles to characterise soft solids, such as biological tissues.
http://hdl.handle.net/10379/5303
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Influence of elastic strains on the mask ratio in glassy polymer nanoimprint
(2005)
CROSS, GRAHAM; O'CONNELL, BARRY SEAMUS; PETHICA, JOHN BERNARD
Influence of elastic strains on the mask ratio in glassy polymer nanoimprint
(2005)
CROSS, GRAHAM; O'CONNELL, BARRY SEAMUS; PETHICA, JOHN BERNARD
Abstract:
peerreviewed
During glassy polymer nanoimprint, a supported film is extruded from protruding spunchd to recessed scavityd regions of a patterned stamp. The completeness of this extrusion determines the mask ratio for lithographic applications. We show that, for a given punch contact size, there is a residual layer of unextruded material with a mean thickness that is independent of initial film thickness, stamping time, or applied maximum load. Depth sensing indentation enables us to monitor deformation during the imprinting as well as after, and so understand the deformation process involved. It is found that both the geometry and mean thickness of the residual layer are influenced by the overall elastic properties of the stamping system.
http://hdl.handle.net/2262/28106
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Labor Supply Elasticities in Europe and the US
(2015)
Bargain, Olivier; Orsini, Kristian; Peichl, Andreas
Labor Supply Elasticities in Europe and the US
(2015)
Bargain, Olivier; Orsini, Kristian; Peichl, Andreas
Abstract:
Despite numerous studies on labor supply, the size of elasticities is rarely comparable across countries. In this paper, we suggest the first largescale international comparison of elasticities, while netting out possible differences due to methods, data selection and the period of investigation. We rely on comparable data for 17 European countries and the US, a common empirical approach and a complete simulation of taxbenefit policies affecting household budgets. We find that wageelasticities are small and vary less across countries than previously thought, e.g., between .2 and .6 for married women. Results are robust to several modeling assumptions. We show that differences in taxbenefit systems or demographic compositions explain little of the crosscountry variation, leaving room for other interpretations, notably in terms of heterogeneous work preferences. We derive important implications for research on optimal taxation.
http://hdl.handle.net/10197/6390
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Large time approximation for shearing motions
(2018)
Saccomandi, Giuseppe; Vergori, Luigi
Large time approximation for shearing motions
(2018)
Saccomandi, Giuseppe; Vergori, Luigi
Abstract:
Small and largeamplitude oscillatory shear tests are widely used by experimentalists to measure, respectively, linear and nonlinear properties of viscoelastic materials. These tests are based on the quasistatic approximation according to which the strain varies sinusoidally with time after a number of loading cycles. Despite the extensive use of the quasistatic approximation in solid mechanics, few attempts have been made to justify rigorously such an approximation. The validity of the quasistatic approximation is studied here in the framework of the MooneyRivlin KelvinVoigt viscoelastic model by solving the equations of motion analytically. For a general nonlinear model, the quasistatic approximation is instead derived by means of a perturbation analysis.
http://hdl.handle.net/10379/13756
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Managing the Price Factor
(2007)
Murphy, James Peter
Managing the Price Factor
(2007)
Murphy, James Peter
Abstract:
Pub goers are regularly advised to shop around for the best price for drinks and retail goods, customers will always take advantage of better value. This emotive issue for customers can be badly handled, bar owners must question the strategic value of the prices they set and their likely outcome.
https://arrow.dit.ie/tfschafart/64
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Methodical fitting for mathematical models of rubberlike materials
(2017)
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
Methodical fitting for mathematical models of rubberlike materials
(2017)
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
Abstract:
A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be broken down in three steps, which we delineate by relying on a simple formatting of the data, the socalled Mooney plot transform. First, the smalltomoderate regime, where the polymeric chains unfold easily and the Mooney plot is almost linear. Second, the strainhardening regime, where blobs of bundled chains unfold to stiffen the response in correspondence to the 'upturn' of the Mooney plot. Third, the limitingchain regime, with a sharp stiffening occurring as the chains extend towards their limit. We provide strainenergy functions with terms accounting for each stage that (i) give an accurate local and then global fitting of the data; (ii) are consistent with weak nonlinear elasticity theory and (iii) can be interpreted in the framework of statistical ...
http://hdl.handle.net/10379/6482
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Methodical fitting for mathematical models of rubberlike materials
(2018)
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
Methodical fitting for mathematical models of rubberlike materials
(2018)
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
Abstract:
A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be broken down in three steps, which we delineate by relying on a simple formatting of the data, the socalled Mooney plot transform. First, the smalltomoderate regime, where the polymeric chains unfold easily and the Mooney plot is almost linear. Second, the strainhardening regime, where blobs of bundled chains unfold to stiffen the response in correspondence to the 'upturn' of the Mooney plot. Third, the limitingchain regime, with a sharp stiffening occurring as the chains extend towards their limit. We provide strainenergy functions with terms accounting for each stage that (i) give an accurate local and then global fitting of the data; (ii) are consistent with weak nonlinear elasticity theory and (iii) can be interpreted in the framework of statistical ...
http://hdl.handle.net/10379/11156
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Microcrack accumulation at different intervals during fatigue testing of compact bone.
(2003)
O'Brien, Fergal J; Taylor, David; Lee, T Clive
Microcrack accumulation at different intervals during fatigue testing of compact bone.
(2003)
O'Brien, Fergal J; Taylor, David; Lee, T Clive
Abstract:
This article is available at http://www.sciencedirect.com/science
Fatigue damage in bone occurs in the form of microcracks. This microdamage contributes to the formation of stress fractures and acts as a stimulus for bone remodelling. A technique has been developed, which allows microcrack growth to be monitored during the course of a fatigue test by the application of a series of fluorescent chelating agents. Specimens were taken from bovine tibiae and fatigue tested in cyclic compression at a stress range of 80MPa. The specimens were stained before testing with alizarin and up to three other chelating agents were applied during testing to label microcracks formed at different times. Microcracks initiated in interstitial bone in the early part of a specimen's life. Further accumulation of microcracks is then suppressed until the period late in the specimen's life. Microcracks were found to be longer in the longitudinal than in the transverse direction. Only a small pr...
https://epubs.rcsi.ie/anatart/18
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Micromechanical model for protein materials: from macromolecules to macroscopic fibers
(2018)
Puglisi, G.; De Tommasi, D.; Pantano, M. F.; Pugno, N. M.; Saccomandi, G.
Micromechanical model for protein materials: from macromolecules to macroscopic fibers
(2018)
Puglisi, G.; De Tommasi, D.; Pantano, M. F.; Pugno, N. M.; Saccomandi, G.
Abstract:
We propose a model for the mechanical behavior of protein materials. Based on a limited number of experimental macromolecular parameters (persistence and contour length) we obtain the macroscopic behavior of keratin fibers (human, cow, and rabbit hair), taking into account the damage and residual stretches effects that are fundamental in many functions of life. We also show the capability of our approach to describe the main dissipation and permanent strain effects observed in the more complex spider silk fibers. The comparison between our results and the data obtained experimentally from cyclic tests demonstrates that our model is robust and is able to reproduce with a remarkable accuracy the experimental behavior of all protein materials we tested.
http://hdl.handle.net/10379/13533
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Nanoscale mechanical characterisation of amyloid fibrils discovered in a natural adhesive
(2018)
Mostaert, Anika S.; Higgins, Michael J.; Fukuma, Takeshi; Rindi, Fabio; Jarvis, Suzanne P.
Nanoscale mechanical characterisation of amyloid fibrils discovered in a natural adhesive
(2018)
Mostaert, Anika S.; Higgins, Michael J.; Fukuma, Takeshi; Rindi, Fabio; Jarvis, Suzanne P.
Abstract:
Using the atomic force microscope, we have investigated the nanoscale mechanical response of the attachment adhesive of the terrestrial alga Prasiola linearis (Prasiolales, Chlorophyta). We were able to locate and extend highly ordered mechanical structures directly from the natural adhesive matrix of the living plant. The in vivo mechanical response of the structured biopolymer often displayed the repetitive sawtooth forceextension characteristics of a material exhibiting high mechanical strength at the molecular level. Mechanical and histological evidence leads us to propose a mechanism for mechanical strength in our sample based on amyloid fibrils. These proteinaceous, pleated betasheet complexes are usually associated with neurodegenerative diseases. However, we now conclude that the amyloid protein quaternary structures detected in our material should be considered as a possible generic mechanism for mechanical strength in natural adhesives.
http://hdl.handle.net/10379/9596
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On the third and fourthorder constants of incompressible isotropic elasticity.
(2013)
Destrade, Michel
On the third and fourthorder constants of incompressible isotropic elasticity.
(2013)
Destrade, Michel
Abstract:
Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can then be inverted to give the strain in terms of the stress with a view to considering the incompressible limit. For this purpose, use of the logarithmic strain tensor is of particular value. It enables the limiting values of all nine fourthorder elastic constants in the incompressible limit to be evaluated precisely and rigorously. In particular, it is explained why the three constants of fourthorder incompressible elasticity are of the same order of magnitude. Several examples of application of the results follow, including determination of the acoustoelastic coefficients in incompressible solids and the limiting values of the coefficients of nonlinearity for elastic wave propagation.
Seventh Framework Programme of the European Commission (Marie Curie Fellow...
http://hdl.handle.net/10379/3218
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Rivlin's legacy in continuum mechanics and applied mathematics
(2019)
Destrade, Michel; Murphy, Jeremiah; Saccomandi, Giuseppe
Rivlin's legacy in continuum mechanics and applied mathematics
(2019)
Destrade, Michel; Murphy, Jeremiah; Saccomandi, Giuseppe
Abstract:
Over a long and distinguished career, Ronald Rivlin (figure 1) published more than 200 scientific papers. He was a highly innovative scientist who made seminal contributions in all areas of continuum mechanics. He was one of the last savants, equally proficient in solid and fluid mechanics and in the mathematical methods needed to advance these disciplines. Although it was characteristic of scientists at the time of Cauchy and Navier, or even Poincaré, this spread of knowledge no longer seems possible due to the rapid expansion of research that has occurred over the last 50 years.
http://hdl.handle.net/10379/15240
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Simulation of the Mechanical Response of Cells on Micropost Substrates
(2014)
Ronan, William; McGarry, Patrick
Simulation of the Mechanical Response of Cells on Micropost Substrates
(2014)
Ronan, William; McGarry, Patrick
Abstract:
Journal article
Experimental studies where cells are seeded on micropost arrays in order to quantify their contractile behavior are becoming increasingly common. Interpretation of the data generated by this experimental technique is difficult, due to the complexity of the processes underlying cellular contractility and mechanotransduction. In the current study, a coupled framework that considers strain rate dependent contractility and remodeling of the cytoskeleton is used in tandem with a thermodynamic model of tension dependent focal adhesion formation to investigate the biomechanical response of cells adhered to micropost arrays. Computational investigations of the following experimental studies are presented: cell behavior on different sized arrays with a range of post stiffness; stress fiber and focal adhesion formation in irregularly shaped cells; the response of cells to deformations applied locally to individual posts; and the response of cells to equibiaxial stretching ...
http://hdl.handle.net/10379/4118
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Slight compressibility and sensitivity to changes in Poisson's ratio
(2014)
Destrade, Michel; Gilchrist, M. D.; Motherway, Julie A.; et al.
Slight compressibility and sensitivity to changes in Poisson's ratio
(2014)
Destrade, Michel; Gilchrist, M. D.; Motherway, Julie A.; et al.
Abstract:
Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress distribution can exhibit extreme sensitivity to changes in Poisson's ratio. These changes can even lead to a reversal of the usual Poynting effect. Therefore, the usual practice of arbitrarily choosing a value of Poisson's ratio when numerically modelling rubbers and soft tissue will, almost certainly, lead to a significant difference between the simulated and actual normal stresses in a sheared block because of the difference between the assumed and actual value of Poisson's ratio. The worrying conclusion is that simulations based on arbitrarily specifying Poisson's ratio close to 1∕2 cannot accurately predict the normal stress distribution even for the simplest of shearing deformations. It is shown analytically that this sensitivity is caused by...
http://hdl.handle.net/10197/5952
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Slight compressibility and sensitivity to changes in Poisson's ratio
(2013)
Destrade, Michel
Slight compressibility and sensitivity to changes in Poisson's ratio
(2013)
Destrade, Michel
Abstract:
Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress distribution can exhibit extreme sensitivity to changes in Poisson's ratio. These changes can even lead to a reversal of the usual Poynting effect. Therefore, the usual practice of arbitrarily choosing a value of Poisson's ratio when numerically modelling rubbers and soft tissue will, almost certainly, lead to a significant difference between the simulated and actual normal stresses in a sheared block because of the difference between the assumed and actual value of Poisson's ratio. The worrying conclusion is that simulations based on arbitrarily specifying Poisson's ratio close to 1/2 cannot accurately predict the normal stress distribution even for the simplest of shearing deformations. It is shown analytically that this sensitivity is caused by...
http://hdl.handle.net/10379/3234
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Slight compressibility and sensitivity to changes in poisson's ratio
(2018)
Destrade, M.; Gilchrist, M.D.; Motherway, J.; Murphy, J.G.
Slight compressibility and sensitivity to changes in poisson's ratio
(2018)
Destrade, M.; Gilchrist, M.D.; Motherway, J.; Murphy, J.G.
http://hdl.handle.net/10379/11146
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Structure and elasticity of bush and brushlike models of the endothelial glycocalyx
(2019)
Kabedev, Aleksei; Lobaskin, Vladimir
Structure and elasticity of bush and brushlike models of the endothelial glycocalyx
(2019)
Kabedev, Aleksei; Lobaskin, Vladimir
Abstract:
The endothelial glycocalyx (EG), a sugarrich layer that lines the luminal surface of blood vessels, is an important constituent of the vascular system. Although the chemical composition of the EG is fairly well known, there is no consensus regarding its ultrastructure. While previous experiments probed the properties of the layer at the continuum level, they did not provide sufficient insight into its molecular organisation. In this work, we investigate the EG mechanics using two simple brush and bushlike simulation models, and use these models to describe its molecular structure and elastic response to indentation. We analyse the relationship between the mechanical properties of the EG layer and several molecular parameters, including the filament bending rigidity, grafting density, and the type of ultrastructure. We show that variations in the glycan density determine the elasticity of the EG for small deformations, and that the normal stress may be effectively dampened by the E...
http://hdl.handle.net/10197/10390
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The functional response of mesenchymal stem cells to electronbeam patterned elastomeric surfaces presenting micrometer to nanoscale heterogeneous rigidity
(2018)
Biggs, Manus J. P.; Fernandez, Marc; Thomas, Dilip; Cooper, Ryan; Palma, Matteo; Liao, ...
The functional response of mesenchymal stem cells to electronbeam patterned elastomeric surfaces presenting micrometer to nanoscale heterogeneous rigidity
(2018)
Biggs, Manus J. P.; Fernandez, Marc; Thomas, Dilip; Cooper, Ryan; Palma, Matteo; Liao, Jinyu; Fazio, Teresa; Dahlberg, Carl; Wheadon, Helen; Pallipurath, Anuradha; Pandit, Abhay; Kysar, Jeffrey; Wind, Shalom J.
Abstract:
Cells directly probe and respond to the physicomechanical properties of their extracellular environment, a dynamic process which has been shown to play a key role in regulating both cellular adhesive processes and differential cellular function. Recent studies indicate that stem cells show lineagespecific differentiation when cultured on substrates approximating the stiffness profiles of specific tissues. Although tissues are associated with a range of Young's modulus values for bulk rigidity, at the subcellular level, tissues are comprised of heterogeneous distributions of rigidity. Lithographic processes have been widely explored in cell biology for the generation of analytical substrates to probe cellular physicomechanical responses. In this work, it is shown for the first time that that directwrite ebeam exposure can significantly alter the rigidity of elastomeric poly(dimethylsiloxane) substrates and a new class of 2D elastomeric substrates with controlled patterned rig...
http://hdl.handle.net/10379/10439
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