Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-24T09:24:28.905Z Has data issue: false hasContentIssue false

Measurements of diffusion thickness at polymer interfaces by nanoindentation: A numerically calibrated experimental approach

Published online by Cambridge University Press:  31 January 2011

Chunyu Yang
Affiliation:
Aerospace Engineering and Mechanics, Iowa State University, Ames, Iowa 50011-2271
Chieh-Tsung Lo
Affiliation:
Chemical and Biological Engineering, Iowa State University, Ames, Iowa 50011-2271
Ashraf F. Bastawros*
Affiliation:
Aerospace Engineering and Mechanics, Iowa State University, Ames, Iowa 50011-2271
Balaji Narasimhan
Affiliation:
Chemical and Biological Engineering, Iowa State University, Ames, Iowa 50011-2271
*
a) Address all correspondence to this author. e-mail: bastaw@iastate.edu
Get access

Abstract

The interfacial fracture toughness and the adhesion strength of two dissimilar materials are governed by the diffusion interfacial thickness and its mechanical characteristics. A new testing methodology is implemented here to estimate the actual interfacial thickness from a series of nanoindentations across the interface, under the same applied load, with tip radius and indentation depth many times larger than the interface thickness. The bimaterial system used is a semicrystalline polymer interface of isotactic polypropylene and linear low-density polyethylene. The laminate is prepared under a range of diffusion temperature to yield diffusion interfaces of 0 to 50 nm. A numerical relationship is developed using two-dimensional (2D) finite element simulation to correlate the true interfacial thickness, measured by transmission electron microscopy, with the experimentally estimated apparent interfacial thickness, derived from the transition domain of a series of indents across the interface. A range of material-pairs property combinations are examined for Young’s modulus ratio E1/E2 = 1 to 3, yield strength ratio σY1Y2 = 1 to 2.5, and interfacial thickness of 0 to 100 nm. The proposed methodology and the numerically calibrated relationship are in good agreement with the true interfacial thickness.

Type
Articles
Copyright
Copyright © Materials Research Society 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Evans, A.G. and Hutchinson, J.W.: The thermomechanical integrity of thin films and multilayers. Acta Metall. Mater. 43, 2507 (1995).CrossRefGoogle Scholar
2.Hutchinson, J.W. and Suo, Z.: Mixed mode cracking in layered materials. Adv. Appl. Mech. 29, 1 (1992).Google Scholar
3.Chaffin, K.A., Bates, F.S., Brant, P., and Brown, G.M.: Semicrystalline blends of polyethylene and isotactic polypropylene: Improving mechanical performance by enhancing the interfacial structure. J. Polym. Sci., Part B: Polym. Phys. 38(1), 108 (2000).3.0.CO;2-9>CrossRefGoogle Scholar
4.Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments., J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
5.Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments., J. Mater. Res. 7(6), 1564 (1992).CrossRefGoogle Scholar
6.Pharr, G.M.: Measurement of mechanical properties by ultra-low-load indentation. Mater. Sci. Eng., A 253, 151 (1998).CrossRefGoogle Scholar
7.Kriese, M.D., Boismier, D.A., Moody, N.R., and Gerberich, W.W.: Nanomechanical fracture-testing of thin films. Eng. Fract. Mech. 61, 1 (1998).CrossRefGoogle Scholar
8.Tsui, T.Y., Ross, C.A., and Pharr, G.M.: A method for making substrate-independent hardness measurements of soft metallic films on hard substrates by nanoindentation., J. Mater. Res. 18(6), 1383 (2003).CrossRefGoogle Scholar
9.Suresh, S. and Naik, V.M.: Multilayer theory for interfacial properties of systems containing hydrogen bonding molecules. II. A simple, yet exact form for segment potentials arising from association interactions., J. Chem. Phys. 111(22), 10389 (1999).CrossRefGoogle Scholar
10.Suresh, S. and Mortensen, A.: Functionally graded metals and metal-ceramic composites: Part 2. Thermomechanical behaviour. Int. Mater. Rev. 42(3), 85 (1997).CrossRefGoogle Scholar
11.Nibur, K.A. and Bahr, D.F.: Indentation techniques for the study of deformation across grain boundaries, in Mechanical Properties Derived from Nanostructuring Materials, edited by Bahr, D.F., Kung, H., Moody, N.R., and Wahl, K.J. (Mater. Res. Soc. Symp. Proc. 778, Warrendale, PA, 2003), p. 129.Google Scholar
12.Soer, W.A. and De Hosson, J.Th.M.: Detection of grain-boundary resistance to slip transfer using nanoindentation. Mater. Lett. 59(24–25), 3192 (2005).CrossRefGoogle Scholar
13.Wo, P.C. and Ngan, A.H.W.: Investigation of slip transmission behavior across grain boundaries in polycrystalline Ni3Al using nanoindentation. J. Mater. Res. 19(1), 189 (2004).CrossRefGoogle Scholar
14.Johnson, K.L.: The correlation of indentation experiments. J. Mech. Phys. Solids 18, 115 (1970).CrossRefGoogle Scholar
15.Taljat, B., Zacharia, T., and Pharr, G.M.: Pile-up behavior of spherical indentations in engineering materials, in Fundamentals of Nanoindentation and Nanotribology, edited by Moody, N.R., Gerberich, W.W., Burnham, N., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 522, Warrendale, PA, 1998), p. 33.Google Scholar
16.Sneddon, I.N.: Relation between load and penetration in axisymmetric Boussinesq problem for punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
17.Jablonski, E.L., Gorga, R.E., and Narasimhan, B.: Interdiffusion and phase behavior at homopolymer/random copolymer interfaces. Polymer (Guildf.) 44, 729 (2003).CrossRefGoogle Scholar
18.Gorga, R.E. and Narasimhan, B.: Relating fracture energy to entanglements at partially miscible polymer interfaces. J. Polym. Sci., Polym. Phys. Ed. 40, 2292 (2002).CrossRefGoogle Scholar
19.Gorga, R.E. and Narasimhan, B.: Fracture toughness of partially miscible polymer interfaces. Polym. Eng. Sci. 44, 929 (2004).CrossRefGoogle Scholar
20.Montezinos, D., Wells, B.G., and Burns, J.L.: The use of ruthenium in hypochlorite as a stain for polymeric materials. J. Polym. Sci.: Polym. Lett. Ed. 23, 421 (1985).Google Scholar
21.Lo, C-T., Laabs, F.C., and Narasimhan, B.: Interfacial adhesion between incompatible semicrystalline polymer systems. J. Polym. Sci. [B] 42, 2667 (2004).CrossRefGoogle Scholar
22.Brandrup, J., Immergut, E.H., and Grulke, E.A., Eds.: Polymer Handbook, 4th ed. (Wiley, New York, NY, 1999).Google Scholar
23.ABAQUS: General Purpose Finite Element Program, Version 6.3 (Hibbit, Karlsson and Sorensen Inc., Pawtucket, RI, 2002).Google Scholar
24.Bolshakov, A. and Pharr, G.M.: Influences of pile-up on the measurement of mechanical properties by load and depth-sensing indentation techniques., J. Mater. Res. 13(4), 1049 (1998).CrossRefGoogle Scholar
25.Tabor, D.: Hardness of Metals (Oxford University Press, Oxford, 1951).Google Scholar