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The Application of Smooth Particle Hydrodynamics to the Modelling of Solid Materials

By Mark Daniel Fuller

Abstract

This thesis explores the mesh-free computer modelling technique of Smooth Particle Hydrodynamics (SPH), and explores its usage in solid mechanics applications. A review of the context in which SPH can be used, the theory behind the governing equations and the adaptations carried out to enable elastic body problems to be simulated is presented. An algorithm is proposed to improve the ability for SPH to model contact between deformable surfaces.\ud Non-linear behaviour is simulated via the introduction of plasticity, a statistical damage model and the introduction of friction between surfaces. It is shown how SPH can successfully model the buckling in slender rods and match predictions even under extreme deformations. The culmination of these techniques is used to simulate the mechanical properties of thermal barrier coatings (TBC). The simulated effect of increasing the size of gaps in the columnar structure of TBC is shown to reduce hardness. Higher coefficients of inter-column friction are suggested to be able to enhance the load bearing properties of the TBC system.\ud The future research and improvements to the SPH technique are explored along with a discussion about the appropriate methodology of adapting SPH to meet a range of modelling requirements

Publisher: University of Leicester
Year: 2010
OAI identifier: oai:lra.le.ac.uk:2381/8478

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  1. (2003). A Corrected Smooth Particle Hydrodynamics Method for the Simulation of Debris Flow”, doi
  2. (2000). A criterion for the choice of the Interpolation Kernel in Smoothed Particle Hydrodynamics”, doi
  3. (2005). A full coupled numerical analysis approach for buried structures subject to subsurface blasts”, doi
  4. (1999). A parallel Implementations of a Fluid Flow Simulation using Smoothed Particle Hydrodynamics”.
  5. (1968). A path independent integral and the Approximate Analysis of Strain Concentration by Notches and Cracks”, doi
  6. (1957). Analysis of Stresses and Strains near the end of a crack traversing a plate”,
  7. (2008). Application of an improved contact algorithm for penetration analysis in SPH”, doi
  8. (1996). Axisymmetric form of the Material Point Method with applications to upsetting and Taylor Impact Problems”, doi
  9. (2006). Buckling of Bars, Plates and Shells”, doi
  10. (2001). Crystals, defects and microstructures : modeling across scales”, doi
  11. (2000). Directed Vapor Deposition of Thermal Barrier Coatings”, doi
  12. (1999). Elastic Crack Growth in Finite Elements with Minimal Remeshing”, doi
  13. (1999). Enhanced damage modelling for fracture and fatigue”, doi
  14. (2003). Evaluation of Interfacial crack growth in bimaterial metallic joints loaded by symmetric three-point bending”, doi
  15. (1997). Failure Mode Maps in the thin film Scratch Adhesion Test”, doi
  16. (1969). Fracture Arrest”, Fracture V, pg.1-63, Liebowitz ed.,
  17. (1948). Fracture of metals: some theoretical considerations”,
  18. (1989). Fundamental Principles of Fiber Reinforced Composites”, doi
  19. (1989). Lagrangian-Eulerian Finite Element Formulation for Incompressible Viscous Flows.”, doi
  20. (2003). Linux Clusters White Paper”,
  21. (2003). Numerical Modelling of crack shielding and deflection in a multi-layered material system”, doi
  22. (2004). Numerical modelling of stress fields and fracture around magna chambers”, doi
  23. (2004). On the normal vector estimation for point cloud data from smooth surfaces”, doi
  24. (2006). Parallelization of SPH” Presentation at WCCM VII,
  25. (2004). Significance of crack tip plasticity to early notch fatigue crack growth”, doi
  26. (2004). Simulation of the high temperature impression of thermal barrier coatings with columnar microstructure”, doi
  27. (1977). Smoothed Particle Hydrodynamics – Therory and application to non-spherical stars”. doi
  28. (1999). Smoothed Particle Hydrodynamics for Cohesive Grains”, doi
  29. (1975). Special Theoretical Aspects of Dynamic Fracturing”, Ispra [Abstract] Guo &
  30. (1997). SPH and Riemann Solvers”, doi
  31. (1999). SPH without a Tensile Instability”, doi
  32. (2004). Stable particle methods based on Lagrangian kernels”, doi
  33. (1964). The influence of loading rate on the residual strength of aluminium alloy sheet specimens”, Nat. Aerospace Inst. Amsterdam Rept TR-M2154.
  34. (2003). Vector Level sets for descriptions of propagating cracks in finite elements”, doi

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