The development of a continuum framework for friction welding processes with the aid of micro-mechanical parameterisations

Continuum modelling of complex industrial systems can be addressed with the aid of micromechanical parameterisations. The appropriate framework has been demonstrated through recent work in the area of modelling complex industrial processes which involve granular material. In this paper, the framework is set for the continuum modelling of friction welding processes with the aid of information, which is derived at the microscopic level. Sliding frictional behaviour of an unlubricated metal couple was studied experimentally and was found to be strongly influenced by operating conditions such as sliding speed and interface temperature for the titanium alloy Ti6Al4V. The different friction regimes observed experimentally are explained using an analytical contact model, which represents the moving system of two interconnected plates at the sliding interface with bonds, which continuously form and rupture during sliding. Moreover, the characterised frictional behaviour, which depends on interface temperature, is used to model numerically the non-linear thermo-mechanical process of linear friction welding of Ti6Al4V.

[1]  A. Vairis.  High frequency linear friction welding , 1997 .

[2]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[3]  A. Vairis,et al.  Modelling the linear friction welding of titanium blocks , 2000 .

[4]  J. Krim.  Fundamentals of Friction , 1998 .

[5]  Michael S.A. Bradley,et al.  Assessing the potential of a fine powder to segregate using laser diffraction and sieve particle size measuring techniques , 2003 .

[6]  Pierre Chapelle,et al.  Analysis and modeling of heaping behavior of granular mixtures within a computational mechanics framework , 2006 .

[7]  J Klafter,et al.  Friction through dynamical formation and rupture of molecular bonds. , 2004, Physical review letters.

[8]  J. Golden.  A molecular theory of adhesive rubber friction , 1975 .

[9]  I. L. Singer,et al.  Fundamentals of friction : macroscopic and microscopic processes , 1992 .

[10]  S. Putterman,et al.  Correlation between charge transfer and stick-slip friction at a metal-insulator interface , 2000, Physical review letters.

[11]  A. Vairis,et al.  Investigation of frictional behaviour of various materials under sliding conditions , 1997 .

[12]  E. Rabinowicz,et al.  Friction and Wear of Materials , 1966 .

[13]  Pierre Chapelle,et al.  Numerical predictions of particle degradation in industrial-scale pneumatic conveyors , 2004 .

[14]  Nicholas Christakis,et al.  Predictions of segregation of granular material with the aid of PHYSICA, a 3‐D unstructured finite‐volume modelling framework , 2002 .

[16]  Mark Cross,et al.  Micro-mechanical parameterisations for continuum modellingof granular material using the discrete element method , 2002 .

[17]  J Baxter,et al.  Application of simulation technologies in the analysis of granular material behaviour during transport and storage , 2005 .

[18]  J. M. Haile,et al.  Molecular dynamics simulation : elementary methods / J.M. Haile , 1992 .

[19]  J. Greenwood,et al.  Contact of nominally flat surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.