2020 
Stevens K, TranDuc T, Thamwattana N, Hill JM, 'Continuum Modelling for Interacting Coronene Molecules with a Carbon Nanotube.', Nanomaterials, 10 (2020) [C1]



2020 
Indraratna B, Medawela S, Rowe RK, Thamwattana N, Heitor A, 'Biogeochemical Clogging of Permeable Reactive Barriers in AcidSulfate Soil Floodplain', Journal of Geotechnical and Geoenvironmental Engineering, 146 (2020)
© 2020 American Society of Civil Engineers. Column experiments that investigate the use of calcitic limestone as a potential material for permeable reactive barriers (PRBs), as we... [more]
© 2020 American Society of Civil Engineers. Column experiments that investigate the use of calcitic limestone as a potential material for permeable reactive barriers (PRBs), as well as its clogging behavior, are conducted under conditions that involve continuous acidic flow containing Al, Fe, and acidophilic bacteria. Results show that nonhomogenous biogeochemical clogging occurred toward the outlet, resulting in a 45% reduction of hydraulic conductivity at the inlet and 10% reduction at the outlet after the bicarbonate buffering period. A mathematical model developed to capture the reductions in longevity is presented. The model, which considers the effects of timevarying porosity, hydraulic conductivity, and head at a particular point on the horizontal flow path, is used for assessing the effect of coupled clogging in a calcitic porous medium.



2020 
Maldon B, Thamwattana N, Edwards M, 'Exploring nonlinear diffusion equations for modelling dyesensitized solar cells', Entropy, 22 (2020)
© 2020 by the authors. Dyesensitized solar cells offer an alternative source for renewable energy by means of converting sunlight into electricity. While there are many studies c... [more]
© 2020 by the authors. Dyesensitized solar cells offer an alternative source for renewable energy by means of converting sunlight into electricity. While there are many studies concerning the development of DSSCs, comprehensive mathematical modelling of the devices is still lacking. Recent mathematical models are based on diffusion equations of electron density in the conduction band of the nanoporous semiconductor in dyesensitized solar cells. Under linear diffusion and recombination, this paper provides analytical solutions to the diffusion equation. Further, Lie symmetry analysis is adopted in order to explore analytical solutions to physically relevant special cases of the nonlinear diffusion equations. While analytical solutions may not be possible, we provide numerical solutions, which are in good agreement with the results given in the literature.



2020 
Georgiou F, Thamwattana N, 'Modelling phagocytosis based on cell cell adhesion and prey predator relationship', Mathematics and Computers in Simulation, 171 5264 (2020)
© 2019 International Association for Mathematics and Computers in Simulation (IMACS) Phagocytosis refers to a process in which one cell type fully encloses and consumes unwanted c... [more]
© 2019 International Association for Mathematics and Computers in Simulation (IMACS) Phagocytosis refers to a process in which one cell type fully encloses and consumes unwanted cells, debris or particulate matter. It has an important role in immune systems through the destruction of pathogens and the inhibiting of cancerous cells. In this paper, we combine cell¿cell adhesion and predator¿prey modelling to generate a new model for phagocytosis that can relate the interaction between cells in both space and time. Stability analysis for both homogeneous and nonhomogeneous steady states is provided for onedimensional model indicating the range of parameters that leads to phagocytosis. Finally, the paper presents numerical results for both one and twodimensional models, which show excellent agreement with a real phenomenon of bacteria phagocytized by neutrophil cell.



2019 
Thamwattana N, Sarapat P, Chan Y, 'Mechanics and dynamics of lysozyme immobilisation inside nanotubes', JOURNAL OF PHYSICSCONDENSED MATTER, 31 (2019) [C1]



2019 
Maldon B, Thamwattana N, 'An analytical solution for charge carrier densities in dyesensitized solar cells', Journal of Photochemistry and Photobiology A: Chemistry, 370 4150 (2019) [C1]



2018 
Sripaturad P, Alshamarri NA, Thamwattana N, McCoy JA, Baowan D, 'Willmore energy for joining of carbon nanostructures', PHILOSOPHICAL MAGAZINE, 98 15111524 (2018) [C1]



2018 
Dyer T, Thamwattana N, Cox B, 'Conformation of graphene folding around singlewalled carbon nanotubes', JOURNAL OF MOLECULAR MODELING, 24 (2018) [C1]



2018 
Alshammari NA, Thamwattana N, McCoy JA, Baowan D, Cox BJ, Hill JM, 'Modelling joining of various carbon nanostructures using calculus of variations', Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 25 307339 (2018) [C1]



2017 
Al Garalleh H, Thamwattana N, Garaleh M, 'Modelling interaction between a methane molecule and biological channels', Journal of Computational and Theoretical Nanoscience, 14 34163421 (2017)
Copyright © 2017 American Scientific Publishers All rights reserved Printed in the United States of America. Aquaporins are small ubiquitous membranes in biological channels that ... [more]
Copyright © 2017 American Scientific Publishers All rights reserved Printed in the United States of America. Aquaporins are small ubiquitous membranes in biological channels that play significant role in the transportation of nanosized materials, such as water and other biomolecules, into cell. The present work proposes a mathematical model to determine the potential energy of the interaction between a methane molecule and three different types of aquaporin channels, which are aquaporinZ, aquaglyceroporin and aquaporin1. We adopt a continuous model, where all atoms comprising the aquaporin channels are assumed to be uniformly distributed throughout their volumes. We also assume that a methane molecule comprises two parts: A single point representing the carbon atom at the centre and a spherical shell of four evenly distributed hydrogen atoms. Our results indicate the naturalistic acceptance of a methane molecule inside aquaglyceroporin and aquaporin1 channels, but the repulsion occurs for the case of aquaporinZ channel.



2016 
Sarapat P, Thamwattana N, Baowan D, 'Continuum modelling for adhesion between paint surfaces', INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES, 70 234238 (2016)



2016 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Encapsulation of LHistidine Amino Acid Inside SingleWalled Carbon Nanotubes', JOURNAL OF BIOMATERIALS AND TISSUE ENGINEERING, 6 362369 (2016)



2016 
Tiangtrong P, Thamwattana N, Baowan D, 'Modelling water molecules inside cyclic peptide nanotubes', APPLIED NANOSCIENCE, 6 345357 (2016)



2015 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modeling Interactions Between C60 Antiviral Compounds and HIV Protease', BULLETIN OF MATHEMATICAL BIOLOGY, 77 184201 (2015)



2015 
Thamwattana N, 'MODELLING ION, WATER AND IONWATER CLUSTER ENTERING PEPTIDE NANOTUBES', ANZIAM JOURNAL, 57 6278 (2015)



2015 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Interaction of Individual Ions, IonWater Clusters with Aquaglyceroporin and Aquaporin1 Channels', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 12 15051511 (2015)



2015 
Dyer T, Thamwattana N, Jalili R, 'Modelling the interaction of graphene oxide using an atomisticcontinuum model', RSC ADVANCES, 5 7706277070 (2015)



2014 
Baowana D, Thamwattana N, 'Modelling encapsulation of gold and silver nanoparticles inside lipid nanotubes', PHYSICA ASTATISTICAL MECHANICS AND ITS APPLICATIONS, 396 149154 (2014)



2014 
TranDuc T, Thamwattana N, Baowan D, 'Modelling gas storage capacity for porous aromatic frameworks', Journal of Computational and Theoretical Nanoscience, 11 234241 (2014)
This paper examines the gas storage capacity of recently developed highporosity materials known as porous aromatic frameworks (PAFs). We develop a mathematical model to examine t... [more]
This paper examines the gas storage capacity of recently developed highporosity materials known as porous aromatic frameworks (PAFs). We develop a mathematical model to examine the gravimetric and volumetric uptake capacities of both hydrogen and methane for PAFs. Our results indicate that hydrogen gravimetric and volumetric uptakes of PAF301, PAF302, PAF303 and PAF304 at 77 K and 100 bar are (1.09 wt.%, 9.14 g/L), (6.43 wt.%, 20.26 g/L), (12.62 wt.%, 20.34 g/L) and (19.80 wt.%, 19.77 g/L), respectively. The gravimetric uptakes of PAF303 and PAF304 are reasonably high, while their volumetric uptakes are relatively low due to their very low bulk densities. Although high porosity is an important criterion for the design of gasstorage materials, our results show that it is not the dominating factor for determining gasstorage capacity of porous materials. A porous material with reasonably high porosity together with selectively highlyinteracting components and a reasonable bulk density will have a higher storage capacity than materials with high porosities, such as PAF304. Copyright © 2014 American Scientific Publishers All rights reserved.



2013 
Thamwattana N, Thien TD, Baowan D, 'Modelling interactions between a PBB and fullerenes', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 10011022 (2013)



2013 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling interaction between ammonia and nitric oxide molecules and aquaporins', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 20202032 (2013)



2013 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling carbon dioxide molecule interacting with aquaglyceroporin and aquaporin1 channels', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 23172327 (2013)



2013 
Baowan D, Thamwattana N, 'Modelling selective separation of trypsin and lysozyme using mesoporous silica', MICROPOROUS AND MESOPOROUS MATERIALS, 176 209214 (2013)



2013 
GerhardtBourke A, Thamwattana N, 'Comment on "Equilibrium conformation of polymer chains with noncircular cross section"', PHYSICAL REVIEW E, 87 (2013)



2013 
Rahmat F, Thamwattana N, Hill JM, 'Modelling LennardJones Interactions Between Two Peptide Rings', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 10 775782 (2013)



2013 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling van der Waals Interaction Between Water Molecules and Biological Channels', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 10 27222731 (2013)



2013 
Thamwattana N, Baowan D, Cox BJ, 'Modelling bovine serum albumin inside carbon nanotubes', RSC ADVANCES, 3 2348223488 (2013)



2012 
Thamwattana N, 'Insertion of atoms and fullerenes into layers of graphene structures', Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 19 597611 (2012)
In this paper, we use a continuum approach together with the LennardJones potential to determine the potential energy for an atom and a C 60 fullerene interacting with a singlel... [more]
In this paper, we use a continuum approach together with the LennardJones potential to determine the potential energy for an atom and a C 60 fullerene interacting with a singlelayer graphene sheet. We also consider the interactions involving doublelayer graphene structures. In order to explore the possibility of using doublelayer graphene structures as a nanocarrier for targeted drug delivery, we investigate the molecular insertion of a carbon atom and a C 60 molecule into the space between the graphene layers. We find that an atom and the outer surface of the fullerene prefer to be approximately 3.4 and 2.95 Å away from a singlelayer graphene, which is consistent with the literature. Further, we find that the minimum distances between the two layers of the graphene structure for an atom and a C 60 molecule to be accepted into the interspace are 6.2 and 12.2 Å, respectively. However, we find that when the distances between the layers equal to 6.8 and 13 Å for the atom and the C 60 molecule, respectively, the total interaction energy is minimum and therefore the system is most stable. When the interlayer distance is greater than 6.8 and 13 Å for the atom and the fullerene C 60, even though the atom and the fullerene C 60 will be accepted into the interlayer spacing, the system is not stable as the energy is higher. Knowledge of the size of the interlayer spacing may be particularly useful for the design of the doublelayer graphene structures for drug delivery applications. Copyright © 2012 Watam Press.



2011 
Thien TD, Thamwattana N, Hill JM, 'Orientation of a benzene molecule inside a carbon nanotube', JOURNAL OF MATHEMATICAL CHEMISTRY, 49 11151127 (2011)



2011 
Baowan D, Thamwattana N, 'Modelling adsorption of a water molecule into various pore structures of silica gel', JOURNAL OF MATHEMATICAL CHEMISTRY, 49 22912307 (2011)



2011 
Thien TD, Thamwattana N, Cox BJ, Hill JM, 'Encapsulation of a benzene molecule into a carbon nanotube', COMPUTATIONAL MATERIALS SCIENCE, 50 27202726 (2011)



2011 
Thien TD, Thamwattana N, 'Modeling encapsulation of acetylene molecules into carbon nanotubes', JOURNAL OF PHYSICSCONDENSED MATTER, 23 (2011)



2011 
Rahmat F, Thamwattana N, Cox BJ, 'Modelling peptide nanotubes for artificial ion channels', NANOTECHNOLOGY, 22 (2011)



2011 
Chan Y, Thamwattana N, Hill JM, 'Axial buckling of multiwalled carbon nanotubes and nanopeapods', EUROPEAN JOURNAL OF MECHANICS ASOLIDS, 30 794806 (2011)



2011 
Thien TD, Thamwattana N, 'Modelling Carbon Nanostructures for Filtering and Adsorbing Polycyclic Aromatic Hydrocarbons', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 8 20722077 (2011)



2010 
Thamwattana N, Cox BJ, Hill JM, 'Editorial: Special Issue on Mathematics and Mechanics in Nanotechnology', MATHEMATICS AND MECHANICS OF SOLIDS, 15 707707 (2010)



2010 
Thamwattana N, Hill JM, Baowan D, Cox BJ, 'A Review of Mathematical and Mechanical Modelling in Nanotechnology', MATHEMATICS AND MECHANICS OF SOLIDS, 15 708717 (2010)



2010 
TranDuc T, Thamwattana N, Cox BJ, Hill JM, 'General Model for Molecular Interactions in a Benzene Dimer', MATHEMATICS AND MECHANICS OF SOLIDS, 15 782799 (2010)



2010 
TranDuc T, Thamwattana N, Cox BJ, Hill JM, 'Modelling the interaction in a benzene dimer', PHILOSOPHICAL MAGAZINE, 90 17711785 (2010)



2010 
Rahmat F, Thamwattana N, Hill JM, 'Carbon nanotube oscillators for applications as nanothermometers', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 43 (2010)



2009 
Chan Y, Thamwattana N, Hill JM, 'Restricted Three Body Problems at the Nanoscale', FEWBODY SYSTEMS, 46 239247 (2009)



2009 
Chan Y, Thamwattana N, Cox GM, Hill JM, 'Mechanics of nanoscale orbiting systems', JOURNAL OF MATHEMATICAL CHEMISTRY, 46 12711291 (2009)



2009 
Thamwattana N, Hill JM, 'Nanotube bundle oscillators: Carbon and boron nitride nanostructures', PHYSICA BCONDENSED MATTER, 404 39063910 (2009)



2009 
Thamwattana N, Baowan D, Hill JM, 'Continuum Modelling for Interactions Between Fullerenes and Other Carbon Nanostructures', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 972984 (2009)



2009 
Chan Y, Thamwattana N, Hill JM, 'Magnetic Field Driven Nano Tippe Top', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 10131020 (2009)



2008 
Cox GM, Thamwattana N, McCue SW, Hill JM, 'CoulombMohr Granular Materials: Quasistatic Flows and the Highly Frictional Limit', APPLIED MECHANICS REVIEWS, 61 (2008)



2008 
Baowan D, Thamwattana N, Hill JM, 'Suction energy and offset configuration for doublewalled carbon nanotubes', COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 13 14311447 (2008)



2008 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of nanotubes oscillating in carbon nanotube bundles', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 464 691710 (2008)



2008 
Thamwattana N, Hill JM, 'Oscillation of nested fullerenes (carbon onions) in carbon nanotubes', JOURNAL OF NANOPARTICLE RESEARCH, 10 665677 (2008)



2008 
Cox BJ, Hilder TA, Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of gigahertz nanooscillators', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 195217 (2008)



2008 
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 243276 (2008)



2008 
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', International Journal of Nanotechnology, 5 243276 (2008)
Copyright © 2008 Inderscience Enterprises Ltd. This paper provides a review of theoretical and experimental advancements in electrorheological (ER) fluids. Experimental results an... [more]
Copyright © 2008 Inderscience Enterprises Ltd. This paper provides a review of theoretical and experimental advancements in electrorheological (ER) fluids. Experimental results and theoretical models for these novel fluids and their impact in the field of nanotechnology are discussed. This paper reviews their development since the ER phenomenon was first described in the 1940s as well as some recent theoretical results of the authors. These include a description of the multipole reexpansion method for calculating the electrostatic force of attraction between dielectric particles in an externally applied electric field; the description of a critical ratio of particle sizes in a bidisperse systems which provides a genuine maximum for the force of attraction between particles; and how the multipole reexpansion method may be extended to provide a solution for conducting particles with a dielectric coating. Finally, a new general result for thinly coated conducting bodies in an applied electric field is given.



2008 
Thamwattana N, Hill JM, 'Comment on "General equilibrium shape equations of polymer chains"', PHYSICAL REVIEW E, 78 (2008)



2008 
Cox BJ, Thamwattana N, Hill JM, 'Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nanocomputing', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 41 (2008)



2008 
Baowan D, Thamwattana N, Hill JM, 'Zigzag and spiral configurations for fullerenes in carbon nanotubes (vol 40, pg 7543, 2007)', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 41 (2008)



2008 
Baowan D, Thamwattana N, Hill JM, 'Erratum: Zigzag and spiral configurations for fullerenes in carbon nanotubes (Journal of Physics A: Mathematical and Theoretical (2007) 40 (75437556))', Journal of Physics A: Mathematical and Theoretical, 41 (2008)



2008 
Thamwattana N, McCoy JA, Hill JM, 'Energy density functions for protein structures', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 61 431451 (2008)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of spheroidal fullerenes and carbon nanotubes for drug and gene delivery', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 60 231253 (2007)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Electrostatic force between coated conducting spheres with applications to electrorheological nanofluids', JOURNAL OF ELECTROSTATICS, 65 680688 (2007)



2007 
Thamwattana N, Hill JM, 'Continuum modelling for carbon and boron nitride nanostructures', JOURNAL OF PHYSICSCONDENSED MATTER, 19 (2007)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. I. Acceptance and suction energies', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 461476 (2007)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. II. Oscillatory behaviour', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 477494 (2007)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. I. Acceptance and suction energies (vol 463, pg 461, 2006)', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 33953395 (2007)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. II. Oscillatory behaviour (vol 463, pg 477, 2006)', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 33953395 (2007)



2007 
Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of spherical and spheroidal carbon onions', EUROPEAN PHYSICAL JOURNAL D, 44 117123 (2007)



2007 
Baowan D, Thamwattana N, Hill JM, 'Zigzag and spiral configurations for fullerenes in carbon nanotubes', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 40 75437556 (2007)



2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of fullerenes oscillating in carbon nanotube bundles', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 40 1319713208 (2007)



2007 
Baowan D, Thamwattana N, Hill JM, 'Encapsulation of C60 fullerenes into singlewalled carbon nanotubes: Fundamental mechanical principles and conventional applied mathematical modeling', PHYSICAL REVIEW B, 76 (2007)



2006 
Cox BJ, Thamwattana N, Hill JM, 'Electric fieldinduced force between two identical uncharged spheres', APPLIED PHYSICS LETTERS, 88 (2006)



2006 
Cox BJ, Thamwattana N, Hill JM, 'Maximising the electrorheological effect for bidisperse nanofluids from the electrostatic force between two particles', RHEOLOGICA ACTA, 45 909917 (2006)



2005 
Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 71 527528 (2005)



2005 
Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', Bulletin of the Australian Mathematical Society, 71 527528 (2005) 


2005 
Cox GM, Mccue SW, Thamwattana N, Hill JM, 'Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers', JOURNAL OF ENGINEERING MATHEMATICS, 52 6391 (2005)



2005 
Thamwattana N, Hill JM, 'Perturbation solutions for highly frictional granular media', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 461 2142 (2005)



2004 
Cox GM, Hill JN, Thamwattana N, 'A formal exact mathematical solution for a sloping rathole in a highly frictional granular solid', ACTA MECHANICA, 170 127147 (2004)



2004 
Thamwattana N, Hill JM, 'Stress distributions within curved highly frictional granular stockpiles', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 57 447466 (2004)



2004 
Thamwattana N, Cox GM, Hill JM, 'Stress distributions in highly frictional granular heaps', Zeitschrift fur Angewandte Mathematik und Physik, 55 330356 (2004)
The practice of storing granular materials in stock piles occurs throughout the world in many industrial situations. As a result, there is much interest in predicting the stress d... [more]
The practice of storing granular materials in stock piles occurs throughout the world in many industrial situations. As a result, there is much interest in predicting the stress distribution within a stock pile. In 1981, it was suggested from experimental work that the peak force at the base does not occur directly beneath the vertex of the pile, but at some intermediate point resulting in a ring of maximum pressure. With this in mind, any analytical solution pertaining to this problem has the potential to provide useful insight into this phenomenon. Here, we propose to utilize some recently determined exact parametric solutions of the governing equations for the continuum mechanical theory of granular materials for two and threedimensional stock piles. These solutions are valid provided sin f = 1, where f is the angle of internal friction, and we term such materials as "highly frictional". We note that there exists materials possessing angles of internal friction around 60 to 65 degrees, resulting in values of sin 0 equal to around 0.87 to 0.91. Further, the exact solutions presented here are potentially the leading terms in a perturbation solution for granular materials for which 1  sin f is close to zero. The model assumes that the stock pile is composed of two regions, namely an inner rigid region and an outer yield region. The exact parametric solution is applied to the outer yield region, and the solution is extended continuously into the inner rigid region. The results presented here extend previous work of the authors to the case of highly frictional granular solids.



2003 
Thamwattana N, Hill JM, 'Analytical stress and velocity fields for gravity flows of highly frictional granular materials', ACTA MECHANICA, 164 91112 (2003)



2003 
Hill JM, Thamwattana N, 'Two approximate analytical solutions for the kinematically determined velocity equations for granular solids', INTERNATIONAL JOURNAL OF NONLINEAR MECHANICS, 38 15231531 (2003)



2003 
Thamwattana N, Hill JM, 'Analytical solutions for tapering quadratic and cubic ratholes in highly frictional granular solids', INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 40 59235948 (2003)


