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Micromechanics of a model heterogeneous material system under compressive loading

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Abstract

Compressive loading is often encountered in mining and mineral processes during the comminution of ore bearing minerals, or alternatively, in the wear-resistant materials used in the comminution circuit. A common thread joining many of the engineered materials used predominantly under compressive loading is the presence of a high modulus secondary phase, either fiber or particulate, embedded within a lower modulus matrix phase (i.e., a brittle heterogeneous material). To improve their toughness, an imperfect or a less-than-coherent interface is often strived for in the manufacture of many heterogeneous materials. To better understand the complex behavior of these materials, a model heterogeneous material system was developed by the U.S. Bureau of Mines and the Idaho National Engineering Laboratory. In this work, moiré interferometry was used to map the micromechanical displacements on the surface of the model system. Uniaxial and biaxial compressive loading was applied to a model system consisting of a PMMA (polymethylmethacrylate) plate having a precision ground steel rod as the cylindrical reinforcement. Moiré patterns revealed that two dominant phenomena occur along the interface: (1) frictional slip/stick and (2) a form of semi-cohesive bonding or mechanical locking. These observations were subsequently confirmed by nonlinear finite-element simulations of the model heterogeneous system. Experimental and numerical results show that the imperfect interface plays an important role in the micromechanical behavior of these model systems.

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References

  1. Sammis, C.G. andAshby, M.E., “The Failure of Brittle Porous Solids under Compressive Stress States,”Acta Metall.,34,511–526 (1986).

    Google Scholar 

  2. Isida, M. andNemat-Nasser, S., “On Mechanics of Crack Growth and its Effects on the Overall Response of Brittle Porous Solids,”Acta Metall.,35,2887–2898 (1987).

    Google Scholar 

  3. Lajtai, E.Z., Carter, B.J. andAyari, M.L., “Criteria for Brittle Fracture in Compression,”Eng. Fract. Mech.,37,59–74 (1990).

    Google Scholar 

  4. Lajtai, E.Z., Carter, B.J. andDuncan, E.J.S., “Mapping the State of Fracture Around Cavities,”Eng. Geo.,31,277–289 (1991).

    Google Scholar 

  5. Lajtai, E.Z., Carter, B.J. andYuan, Y.Tensile Fracture from Circular Cavities Loaded in Compression,”Int. J. Fract.,57,221–236 (1992).

    Google Scholar 

  6. Ashby, M.F. andHallam (née Cooksley), S.D., “The Failure of Brittle Solids Containing Small Cracks under Compressive Stress States,”Acta Metall.,34,497–510 (1986).

    Google Scholar 

  7. Horii, H. andNemat-Nasser, S., “Brittle Failure in Compression: Splitting, Faulting and Brittle-Ductile Transition,”Phil. Trans. Roy. Soc.,A319,337–374 (1986).

    Google Scholar 

  8. Ashby, M.F. andSammis, C.G., “The Damage Mechanics of Brittle Solids in Compression,”P. Appl. Geo. Phys.,133,489–521 (1990).

    Google Scholar 

  9. Madenci, E. andKlemm, W., “Compression-Induced Failure of a Glassy Material with a Crack-Like Defect,”Eng. Fract. Mech.,41,443–452 (1992).

    Google Scholar 

  10. Myer, L.R., Kemeny, J.M., Zheng, Z., Suarez, R., Ewy, R.T. andCook, N.G.W., “Extensile Cracking in Porous Rock under Differential Compressive Stress,”Appl. Mech. Reviews,45,263–280 (1992).

    Google Scholar 

  11. Sutcliffe, M.P.F. andFleck, N.A., “Effect of Geometry on Compressive Failure of Notched Composites,”Int. J. Fract.,59,115–132 (1993).

    Article  Google Scholar 

  12. Vekinis, G., Ashby, M.F. andBeaumont, P.W.R., “The Compressive Failure of Alumina Containing Controlled Distributions of Flaws,”Acta. Metall.,39,2583–2588 (1991).

    Article  Google Scholar 

  13. Barquins, M., Petit, J.P., Maugis, D. andGhalayini, K., “Path and Kinetics of Branching from Defects under Uniaxial and Biaxial Compressive Loading,”Int. J. Fract.,54,139–163 (1992).

    Article  Google Scholar 

  14. Subhash, G. andNemat-Nasser, S., “Microcrack Induced Damage in Zirconia Ceramics under Uniaxial Compression: Experiments and Modeling,” Advances in Local Fracture/Damage Models for the Analysis of Engineering Problems, ed. J.H. Giovanoia and A.J. Rosakis, ASME-AMD,137,93–107 (1992).

    Google Scholar 

  15. Larbi, J.A., “Microstructure of the Interfacial Zone Around Aggregate Particles in Concrete,”Heron,38,1–69 (1993).

    Google Scholar 

  16. Monteiro, P.J.M., Maso, J.C. andOllivier, J.P., “Aggregate-Mortar Interface,”Cement and Concrete Res.,15,953–958 (1985).

    Google Scholar 

  17. Buyukozturk, O., Nilson, A.H. andSlate, F.O., “Deformation and Fracture of Particulate Composite,”J. Eng. Mech.,98,581–593 (1972).

    Google Scholar 

  18. Yamaguchi, E. andChen, W.F., “Post-Failure Behavior of Concrete Materials in Compression,”Eng. Fract. Mech.,37,1011–1023 (1990).

    Google Scholar 

  19. Yamaguchi, E. andChen, W.F., “Microcrack Propagation Study of Concrete under Compression,”J. Eng. Mech.,117,653–673 (1991).

    Google Scholar 

  20. Muskhelishvili, N.J., “Some Basic Problems of the Mathematical Theory of Elasticity,”3rd ed., Noordhoff Ltd, Holland (1953).

    Google Scholar 

  21. Ghahremani, F., “Effect of Grain Boundary Sliding on Anelasticity of Polycrystals,”Int. J. Solids Struct.,16,825–845 (1980).

    MATH  Google Scholar 

  22. Mura, T., “The Elastic Inclusion with a Sliding Interface,”J. Appl. Mech.,51,308–310 (1984).

    MATH  Google Scholar 

  23. Mura, T., Jasiuk, I. andTsuchida, B., “The Stress Field of a Sliding Inclusion,”Int. J. Solids Struct.,21,1165–1179 (1985).

    Google Scholar 

  24. Tsuchida, E., Mura, T. andDundurs, J., “The Elastic Field of an Elliptic Inclusion with a Slipping Interface,”J. Appl. Mech.,53,103–107 (1986).

    MathSciNet  Google Scholar 

  25. Hashin, Z., “The Spherical Inclusion with Imperfect Interface,”J. Appl. Mech.,58,444–449 (1991).

    Google Scholar 

  26. Laird II, G. andKennedy, T.C., “Micromechanics of Imperfect Interfaces in Heterogeneous Materials,”Composites,25,593–603 (1994).

    Article  Google Scholar 

  27. Joh, D., “An Experimental Study of Frictional Phenomena Around the Pin Joints of Plates using Moiré Interferometry,” PhD Diss., Dept. Eng. Sci. Mech., Virginia Polytechnic Inst. and State Univ. (1986).

  28. Post, D., “Moiré Interferometry, in Handbook on Experimental Mechanics,”ed. A.S. Kobayashi, Prentice Hall, Englewood Cliffs, NJ 314–387 (1987).

    Google Scholar 

  29. Archard, J.F., “Elastic Deformation and the Laws of Friction,”Proc. Roy. Soc.,A243,190–205 (1957).

    Google Scholar 

  30. Scholz, C.H., “The Mechanics of Earthquakes and Faulting,”Cambridge Univ. Press, U.K. (1990).

    Google Scholar 

  31. Kragelskii, I.V., “Friction and Wear,”Butterworths, London, U.K. (1965).

    Google Scholar 

  32. Heyliger, R.R., “Frictional Phenomena in Planar Elastic Contact Stress Problems,” PhD Diss., Dept. Eng. Sci. Mech., Virginia Polytechnic Inst. and State Univ. (1986).

  33. Morton, J., Post, D., Han, B. andTsai, M.Y., “A Localized Hybrid Method of Stress Analysis: A Combination of Moiré Interferometry and FEM,”Experimental Mechanics,30,195–200 (1990).

    Google Scholar 

  34. Leonard, D., Dupont Polymers, Memphis, TN (1993).

  35. McCrum, N.G., Buckley, C.P. andBucknall, C.B., “Principles of Polymer Engineering,”Oxford Univ. Press, NY (1988).

    Google Scholar 

  36. Barquins, M. andPetit, J.P., “Kinetic Instabilities During the Propagation of a Branch Crack: Effects of Loading Conditions and Internal Pressure,”J. Struct. Geo.,14,893–903 (1992).

    Google Scholar 

  37. Nemat-Nasser, S. andHori, H., “Compression-Induced Nonplaner Crack Extension with Application to Splitting, Exfoliation, and Rockburst,”J. Geophysical Res.,87,6805–6821 (1982).

    Google Scholar 

  38. Hori, H. andNemat-Nasser, S., “Compression-Induced Microcrack Growth in Brittle Solids: Axial Splitting and Shear Failure,”J. Geophysical Res.,90,3105–3125 (1985).

    Google Scholar 

  39. Jaeger, J.C. andCook, N.G.W., “Fundamentals of Rock Mechanics,”3rd Ed, Chapman and Hall, London (1979).

    Google Scholar 

  40. Epstein, J.S., “Moiré Interferometry in Materials Behavior Research,”Microstructural Science,14,ed. M.R. Louthan,Jr.,I. LeMay, andG.F. Vander-Voort,ASM Int. Pub.,Metals Park, OH,575–593 (1985).

    Google Scholar 

  41. ANSYS User's Manual,IV,Theory,ed. P. Kohnke,Swanson Analysis Systems,Houston, PA (1992).

    Google Scholar 

  42. ASM Handbook,18:Friction, Lubrication, and Wear Technology, Amer. Soc. of Metals Int., 73 (1992).

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Laird, G., Epstein, J.S. & Kennedy, T.C. Micromechanics of a model heterogeneous material system under compressive loading. Experimental Mechanics 35, 293–305 (1995). https://doi.org/10.1007/BF02317538

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