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Solid Mechanics & Materials Engineering Group

Prof. David Hills - Recent Publications

Prof. David Hills

Hills, D.A., and D. Dini, Characteristics of the Process Zone at Sharp Notch Roots, J.Mech. Phys. Solids, Under review.

Reina, S., Dini, D., Hills, D.A., and Iida, Y. A quadratic Programming Formulation for the Solution of Layered Eleastic Contact Problems: Example Applications and Experimental Validation. Eur.J.Mech.A Solid, Under review

Paynter, R.J.H., Hills, D.A., Dini, D. Separation and Slip at the edge of a Complete contact: an Asymptotic Solution, Int. J. Solids Struct., 47(18-19), (2010), p.2613-2619.

S. Reina, R.J.H. paynter, Hills, D.A. and Dini, D. Determining the coefficient of friction between Solids without Sliding. Wear, 269(5-6), (2010), p.339-343.

Reina, S., Dini.D. and Hills, D.A. Interfacial Slip and Creep in Rolling Contact incorporating a cylinder with an elastic layer. Euo J. Mechanics - A/Solids, 29(5), (2010), p.761-771.

Reina, S., Dini, D. and Hills, D. Contact of a rigid cyclinder indenting a layer sliding over a rigid substance. Euo J. Mechanics - A/Solids, 29(5), (2010), p. 772-783.

Kartal, M., Hills, D.A., Nowell D. and Barber, J.R. Torsional contact between elastically similar flat-ended cyclinders. Int Jnl SOlids Strust., 47 (10), (2010), 1375-1380.

Reina, S., Hills, D.A. and Dini, D. Incipient slip conditions in rolling contact of tyres wheels. Proc. I Mech E Part C, J. Mech Sci., In press, doi: 10.1243/09544062JMES2075

Hills, D.A., Paynter, R.J.H. and Nowell, D. The effect of wear on the nucleation of cracks at the edge of an almost complete contact. Wear, 268(7-8), (2010), 900-904

Banerjee, N., Hills, D.A. and Dini, D. The derivation and application of a semi-infinite flat and rounded asymptotic frictionless contact. Intl. Jnl. Mech. Sci., 51, (2009), 662-666.

Hills, D.A. and Nowell, D. What features are needed in a fretting fatigue test? Tribology International, 42, (2009), 1316-1323.

Paynter, R.J.H., Hills, D.A. and Barber, J.R. The stress field at the surface of a flush shrink-fit shaft. Proc. I Mech E Part C, J. Mech Sci., 223(10), 2009, 2241-2247.

Paynter, R. J. H. and  Hills, D. A. The effect of path cut on the Somigliana ring dislocations in a half space. Int.Jnl Solids Struct., 46, 2, (2009), 412-432. doi: 10.1016/j.ijsolstr.2008.09.001

Philipps, A. G., Karuppanan, S., Banerjee, N. and Hills, D.A.  Crack tip stress intensity factors for a crack emanating from a semi-infinite notch with application to the avoidance of fatigue in complete contacts.  Proc. I Mech E Part C, J. Mech Sci.,  2009, 223(C4), 789-794. DOI: 10.1243/0954062JMES1178.

 Hui Qiu, Hills, D. A. and Dini, D.  An investigation of convection effects in complete and almost complete contact problems.  .  Euro Jnl. Mechanics, A/Solids,28(4),(2009), 680-687.

Hills, D. A., Sackfield, A. and Paynter, R.J.H.  Simulation of Fretting Wear in half-plane geometries:  Part 1 – The solution for long term wear. J. Tribology, 131, (2009), Paper 031401-1 to 4. (DOI: 10.1115/1.3118785).

Hui Qiu, Hills, D. A., Nowell, D. and Dini, D. Skew sliding of an elastic cylinder: an investigation of convection in contact. International Journal of Mechanical Sciences, 50, (2008), 293-298..

Hui Qiu, Paynter, R. J. H., Dini, D. and Hills, D.A.  The state of stress induced by ring dislocations in a semi-infinite stepped shaft.  European Journal of Mechanics - A/Solids, 27, (2008), 269-284.

Xie, Y. J. and Hills, D. A.  Quasibrittle Fracture beneath a flat bearing surface.  Eng. Fract. Mech., in press.

Karuppanan, S., Churchman, C. M., Hills, D. A. and Giner, E.  Sliding contact between a square block and an elastically similar half-plane.  Euro Jnl. Mechanics, Part A –Solids.27, (2008), 443-459.

Hui Qiu, Churchman, C. M. and Hills, D. A.  The screw dislocation in a three-quarter plane. Euro Jnl. Mechanics, Part A –Solids, 27, (2008), 730-736.

Dini, D., Barber, J.R., Churchman, C. M., Sackfield, A., and Hills, D. A..The application of asymptotic solutions to contact problems characterized by logarithmic singularities.  Euro Jnl. Mechanics, Part A –Solids, in press, available on line.

Fouvry, S., Nowell, D., Kubiak, K and Hills, D. A.  Prediction of fretting crack propagation based on a short crack methodology. Eng. Fract. Mech., 75, (2008), 1605-1622.

Karuppanan, S. and Hills, D. A.  An edge dislocation in a semi-infinite wedge. Jnl. Strain Anal., 43, (2008), 307-314.

Hui Qiu, Hills, D. A. and Dini, D.  Further consideration of closure at the root of a sharp notch.  Jnl. Strain Anal., 43, (2008), 405-409.

Karuppanan, S. and Hills, D. A.  Frictional complete contacts between elastically similar bodies subject to shear and normal load. Int. Jnl. Solids Struct., 45, (2008), 4662-4675.

Dini, D., Sackfield, A. and Hills, D. A.  An axi-symmetric Hertzian contact subject to cyclic loading and severe wear. Wear, 265, (2008), 1918-1922.

Paynter, R., Mahmoudi, A. H., Pavier, M. J., Hills, D.A., Nowell, D., Truman, C. E., and Smity, D. J., Residual Stress Measurement by Deep Hole Drilling and Trepanning - Analysis with Distributed Dislocations.  J. Strain Anal., in press.

Banerjee, N., Dini, D. and Hills, D. A.  Complete Contacts subject to shear and bulk tension. Proc. I Mech E Part C, J. Mech Sci.,  222, (2008), 2301-2309.

Philipps, A. G., Karuppanan, S., Churchman, C. M. and Hills, D. A.  Crack tip stress intensity factors for a crack emanating from a sharp notch.  Eng. Fract. Mech., 75, (2008), 5134-5139.

Bohórquez, L., and Hills, D. A. Asymptotic Analysis of the corner-behaviour of a rigid punch bonded to an elastic elastic substrate. J. Strain Anal., 42, 5, (2007), 415-422.

Hui Qiu, Dini, D. and Hills, D. A. Torsion of an elastic flat-ended contact. J. Mech. Phys. Solids,  56(12), (2008), 3352-3362.

Conferences


Hills, D. A. and Nowell, D.  The use of bounded asymptotic stress analysis for the the prediction of fretting fatigue crack Initiation.    Presented at  International symposium on Fretting Fatigue 5,  Aerospace Technology Manufacturing Centre, University of Montreal, April 21-23, 2007.

Dini, D. and Hills, D. A. Frictional Energy dissipation in a rough Hertzian Contact.  Presented at ASME Applied Mechanics and Materials Confererence, University of Texas at Austin, June 3-7, 2007.

Hills, D. A. and Dini, D.  The behaviour of complete sliding contacts.  Invited keynote talk at 34th Leeds Lyon Symposium, Lyon, 4-7 September, 2007.

Dini, D. and Hills, D. A. Energy dissipation in rough contacts under partial slip.  Presented at  34th Leeds Lyon Symposium, Lyon, 4-7 September, 2007