Skip to main content Accessibility help
×
Home

Overview: Damage in brittle layer structures from concentrated loads

  • Brian R. Lawn (a1), Yan Deng (a2), Pedro Miranda (a3), Antonia Pajares (a4), Herzl Chai (a5) and Do Kyung Kim (a6)...

Abstract

In this article, we review recent advances in the understanding and analysis of damage initiation and evolution in laminate structures with brittle outerlayers and compliant sublayers in concentrated loading. The relevance of such damage to lifetime-limiting failures of engineering and biomechanical layer systems is emphasized. We describe the results of contact studies on monolayer, bilayer, trilayer, and multilayer test specimens that enable simple elucidation of fundamental damage mechanics and yet simulate essential function in a wide range of practical structures. Damage processes are observed using post mortem (“bonded-interface”) sectioning and direct in situ viewing during loading. The observations reveal a competition between damage modes in the brittle outerlayers—cone cracks or quasiplasticity at the top (near-contact) surfaces and laterally extending radial cracks at the lower surfaces. In metal or polymeric support layers, yield or viscoelasticity can become limiting factors. Analytical relations for the critical loads to initiate each damage mode are presented in terms of key system variables: geometrical (layer thickness and indenter radius); material (elastic modulus, strength and toughness of brittle components, hardness of deformable components). Such relations provide a sound physical basis for the design of brittle layer systems with optimal damage thresholds. Other elements of the damage process—damage evolution to failure, crack kinetics (and fatigue), flaw statistics, and complex (tangential) loading—are also considered.

Copyright

References

Hide All
1.Johnson, K.L., Contact Mechanics (Cambridge University Press, London, U.K., 1985).
2.Lawn, B.R., J. Am. Ceram. Soc. 81, 1977 (1998).
3.Lawn, B.R., Lee, K.S., Chaff, H., Pajares, A., Kim, D.K., Wuttiphan, S., Peterson, I.M., and Hu, X., Adv. Eng. Mater. 2, 745 (2000).
4.Lawn, B.R., Padture, N.P., Cai, H., and Guiherteau, F., Science 263, 1114 (1994).
5.Diao, D.F., Kato, K., and Hokkirigawa, K., Trans ASME J. Tribol. 116, 860 (1994).
6.An, L., Chan, H.M., Padture, N.P., and Lawn, B.R., J. Mater. Res. 11, 204 (1996).
7.Wuttiphan, S., Lawn, B.R., and Padture, N.P., J. Am. Ceram. Soc. 79, 634 (1996).
8.Pajares, A., Wei, L., Lawn, B.R., and Berndt, C.C., J. Am. Ceram. Soc. 79, 1907 (1996).
9.Fischer-Cripps, A.C., Lawn, B.R., Pajares, A., and Wei, L., J. Am. Ceram. Soc. 79, 2619 (1996).
10.Lardner, T.J., Ritter, J.E., and Zhu, G-Q., J. Am. Ceram. Soc. 80, 1851 (1997).
11.Lee, K.S., Wuttiphan, S., Hu, X.Z., Lee, S.K., and Lawn, B.R., J. Am. Ceram. Soc. 81, 571 (1998).
12.Lee, K.S., Lee, S.K., Lawn, B.R., and Kim, D.K., J. Am. Ceram. Soc. 81, 2394 (1998).
13.Jung, Y.G., Wuttiphan, S., Peterson, I.M., and Lawn, B.R., J. Dent. Res. 78, 887 (1999).
14.Rhee, Y-W., Kim, H-W., Deng, Y., and Lawn, B.R., J. Am. Ceram. Soc. 84, 1066 (2001).
15.Deng, Y., Lawn, B.R., and Lloyd, I.K., J. Biomed. Mater. Res. (Appl. Biomater.) 63, 137 (2002).
16.Pajares, A., Wei, L., Lawn, B.R., Padture, N.P., and Berndt, C.C., Mater. Sci. Eng. A 208, 158 (1996).
17.Gerberich, W.W., Strojny, A., Yoder, K., and Cheng, L-S., J. Mater. Res. 14, 2210 (1999).
18.Ramsey, P.M., Chandler, H.W., and Page, T.F., Surf. Coat. Technol. 49, 504 (1991).
19.Swain, M.V. and Mencik, J., Thin Solid Films 253, 204 (1994).
20.Wang, J.S., Sugimura, Y., Evans, A.G., and Tredway, W.K., Thin Solid Films 325, 163 (1998).
21.Abdul-Baqi, A. and Giessen, E.V.d., Int. J. Solids Struct. 39, 1427 (2002).
22.Kamat, S., Su, X., Ballarini, R., and Heuer, A.H., Nature 405, 1036 (2000).
23.Wang, R.Z., Suo, Z., Evans, A.G., Yao, N., and Aksay, I.A., J. Mater. Res. 16, 2485 (2001).
24.Cook, J. and Gordon, J.E., Proc. R. Soc. London A 282, 508 (1964).
25.Clegg, W.J., Kendall, K., Alford, N.M., Button, T.W., and Birchall, J.D., Nature 347, 455 (1991).
26.Prakash, O., Sarkar, P., and Nicholson, P.S., J. Am. Ceram. Soc. 78, 1125 (1995).
27.Lakshminarayanan, R., Shetty, D.K., and Cutler, R.A., J. Am. Ceram. Soc. 79, 79 (1996).
28.Rao, M.P., Sánchez-Herencia, A.J., Beltz, G.E., McMeeking, R.M., and Lange, F.F., Science 286, 102 (1999).
29.Marshall, D.B., Am. Ceram. Soc. Bull. 71, 969 (1992).
30.Shaw, M.C., Marshall, D.B., Dadkhah, M.S., and Evans, A.G., Acta Metall. 41, 3311 (1993).
31.Liu, H., Lawn, B.R., and Hsu, S.M., J. Am. Ceram. Soc. 79, 1009 (1996).
32.Chan, H.M., Annu. Rev. Mater. Sci. 27, 249 (1997).
33.DeLong, R. and Douglas, W.H., J. Dent. Res. 62, 32 (1983).
34.Kelly, J.R., Annu. Rev. Mater. Sci. 27, 443 (1997).
35.Peterson, I.M., Pajares, A., Lawn, B.R., Thompson, V.P., and Rekow, E.D., J. Dent. Res. 77, 589 (1998).
36.Tsai, Y-L., Petsche, P.E., Yang, M.C., and Anusavice, K.J., Int. J. Prosthodont. 11, 27 (1998).
37.Kelly, J.R., J. Prosthet. Dent. 81, 652 (1999).
38.Lawn, B.R., Deng, Y., and Thompson, V.P., J. Prosthet. Dent. 86, 495 (2001).
39.Eberhardt, A.W., Lewis, J.L., and Keer, L.M., ASME J. Biomed. Eng. 113, 410 (1991).
40.Willmann, G., Adv. Eng. Mech. 3, 135 (2001).
41.Miranda, P., Pajares, A., Guiberteau, F., Cumbrera, F.L., and Lawn, B.R., J. Mater. Res. 16, 115 (2001).
42.Zhao, H., Miranda, P., Lawn, B.R., and Hu, X., J. Mater. Res. 17, 1102 (2002).
43.Lee, C-S., Kim, D.K., Sanchez, J., Miranda, P., Pajares, A., and Lawn, B.R., J. Am. Ceram. Soc. 85, 2019 (2002).
44.Lawn, B.R., Fracture of Brittle Solids (Cambridge University Press, Cambridge, U.K., 1993), Chap. 8 and 9.
45.Fischer-Cripps, A.C. and Lawn, B.R., J. Am. Ceram. Soc. 79, 2609 (1996).
46.Lawn, B.R. and Wilshaw, T.R., J. Mater. Sci. 10, 1049 (1975).
47.Rhee, Y-W., Kim, H-W., Deng, Y., and Lawn, B.R., J. Am. Ceram. Soc. 84, 561 (2001).
48.Peterson, I.M., Wuttiphan, S., Lawn, B.R., and Chyung, K., Dent. Mater. 14, 80 (1998).
49.Guiberteau, F., Padture, N.P., and Lawn, B.R., J. Am. Ceram. Soc. 77, 1825 (1994).
50.Cai, H., Kalceff, M.A. Stevens, and Lawn, B.R., J. Mater. Res. 9, 762 (1994).
51.Lawn, B.R., Padture, N.P., Guibertea, F., and Cai, H., Acta Metall. 42, 1683 (1994).
52.Lawn, B.R. and Marshall, D.B., J. Mech. Phys. Solids 46, 85 (1998).
53.Lawn, B.R., Lee, S.K., Peterson, I.M., and Wuttiphan, S., J. Am. Ceram. Soc. 81, 1509 (1998).
54.Lee, K.S., Jung, Y-G., Peterson, I.M., Lawn, B.R., Kim, D.K., and Lee, S.K., J. Am. Ceram. Soc. 83, 2255 (2000).
55.Cai, H., Padture, N.P., Hooks, B.M., and Lawn, B.R., J. Eur. Ceram. Soc. 13, 149 (1994).
56.Wei, L. and Lawn, B.R., J. Mater. Res. 14, 939 (1996).
57.Padture, N.P. and Lawn, B.R., J. Am. Ceram. Soc. 77, 2518 (1994).
58.Xu, H.H.K., Wei, L., Padture, N.P., Lawn, B.R., and Yeckley, R.L., J. Mater. Sci. 30, 869 (1995).
59.Pajares, A., Wei, L., Lawn, B.R., and Marshall, D.B., J. Mater. Res. 10, 2613 (1995).
60.Cai, H., Kalceff, M.A.S., Hooks, B.M., Lawn, B.R., and Chyung, K., J. Mater. Res. 9, 2654 (1994).
61.Padture, N.P. and Lawn, B.R., J. Am. Ceram. Soc. 78, 1431 (1995).
62.Lee, S.K. and Lawn, B.R., J. Am. Ceram. Soc. 82, 1281 (1999).
63.Jung, Y-G., Peterson, I.M., Kim, D.K., and Lawn, B.R., J. Dent. Res. 79, 722 (2000).
64.Langitan, F.B. and Lawn, B.R., J. Appl. Phys. 41, 3357 (1970).
65.Kim, D.K., Jung, Y-G., Peterson, I.M., and Lawn, B.R., Acta Mater. 47, 4711 (1999).
66.Xu, H.H.K., Smith, D.T., and Jahanmir, S., J. Mater. Res. 11, 2325 (1996).
67.Nagarajan, V.S. and Jahanmir, S., Wear 200, 176 (1996).
68.Xu, H.H.K., Jahanmir, S., and Ives, L.K., J. Mater. Res. 11, 1717 (1996).
69.Frank, F.C. and Lawn, B.R., Proc. R. Soc. London A 299, 291 (1967).
70.Tabor, D., Hardness of Metals (Clarendon, Oxford, U.K., 1951).
71.Roesler, F.C., Proc. Phys. Soc. Lond. B 69, 981 (1956).
72.Kocer, C. and Collins, R.E., J. Am. Ceram. Soc. 81, 1736 (1998).
73.Lawn, B.R. and Marshall, D.B., J. Am. Ceram. Soc. 62, 347 (1979).
74.Puttick, K.E., J. Phys. D: Appl. Phys. 12, L19 (1979).
75.Lawn, B.R., Evans, A.G., and Marshall, D.B., J. Am. Ceram. Soc. 63, 574 (1980).
76.Russo, C.J., Harmer, M.P., Chan, H.M., and Miller, G.A., J. Am. Ceram. Soc. 75, 3396 (1992).
77.Wei, L., Pajares, A., and Lawn, B.R., J. Mater. Res. 11, 1329 (1996).
78.Wuttiphan, S., Pajares, A., Lawn, B.R., and Berndt, C.C., Thin Solid Films 293, 251 (1997).
79.Zhao, H., Hu, X.Z., Bush, M.B., and Lawn, B.R., J. Mater. Res. 15, 676 (2000).
80.Chai, H., Lawn, B.R., and Wuttiphan, S., J. Mater. Res. 14, 3805 (1999).
81.Zhao, H., Hu, X., Bush, M.B., and Lawn, B.R., J. Mater. Res. 16, 1471 (2001).
82.Chai, H. and Lawn, B.R., J. Mater. Res. 15, 1017 (2000).
83.Kim, H-W., Deng, Y., Miranda, P., Pajares, A., Kim, D.K., Kim, H-E., and Lawn, B.R., J. Am. Ceram. Soc. 84, 2377 (2001).
84.Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells (McGraw-Hill, New York, 1959), Chap. 8.
85.Lee, K.S., Rhee, Y-W., Blackburn, D.H., Lawn, B.R., and Chai, H., J. Mater. Res. 15, 1653 (2000).
86.Miranda, P., Pajares, A., Guiberteau, F., Cumbrera, F.L., and Lawn, B.R., Acta Mater. 49, 3719 (2001).
87.Bennison, S.J., Jagota, A., and Smith, C.A., J. Am. Ceram. Soc. 82, 1761 (1999).
88.Iwashita, N., Swain, M.V., Field, J.S., Ohta, N., and Bitoh, S., Carbon 39, 1525 (2001).
89.Suresh, S., Fatigue of Materials (Cambridge University Press, Cambridge, U.K., 1991).
90.Hamilton, G.M. and Goodman, L.E., J. Appl. Mech. 33, 371 (1966).
91.Hamilton, G.M., Proc. Inst. Mech. Eng. 197C, 53 (1983).
92.Lawn, B.R., Proc. R. Soc. London A 299, 307 (1967).
93.Chiang, S-S. and Evans, A.G., J. Am. Ceram. Soc. 66, 4 (1983).
94.Lawn, B.R., Wiederhorn, S.M., and Roberts, D.E., J. Mater Sci. 19, 2561 (1984).
95.Xu, H.H.K. and Jahanmir, S., J. Am. Ceram. Soc. 78, 497 (1995).
96.Lee, C-S., Lawn, B.R., and Kim, D.K., J. Am. Ceram. Soc. 84, 2719 (2001).
97.Gordon, J.E., The New Science of Strong Materials (Penguin, Harmondsworth, U.K., 1968).
98.Folsom, C.A., Zok, F.W., and Lange, F.F., J. Am. Ceram. Soc. 77, 689 (1994).
99.Folsom, C.A., Zok, F.W., and Lange, F.F., J. Am. Ceram. Soc. 77, 2081 (1994).
100.Ohji, T., Shigegaki, Y., Miyajima, T., and Kanzaki, S., J. Am. Ceram. Soc. 80, 991 (1997).
101.Ha, H.C., Chan, H.M., and Nied, H.F., Acta Mater. 49, 2453 (2001).
102.Jorgensen, O. and Horsewell, A., Acta Metall. Mater. 8, 3431 (1997).
103.Ball, A., Journal de Physique IV 7 C3921 (1997).
104.Grant, P.V., Cantwell, W.J., McKenzie, H., and Corkhill, P., Int. J. Impact Eng. 21, 737 (1998).
105.Maekawa, I., Sudou, H., and Uda, K., Int. J. Impact Eng. 24, 673 (2000).
106.Chai, H. and Lawn, B.R., Acta Mater. 50, 2613 (2002).
107.Jitcharoen, J., Padture, N.P., Giannakopoulos, A.E., and Suresh, S., J. Am. Ceram. Soc. 81, 2301 (1998).

Overview: Damage in brittle layer structures from concentrated loads

  • Brian R. Lawn (a1), Yan Deng (a2), Pedro Miranda (a3), Antonia Pajares (a4), Herzl Chai (a5) and Do Kyung Kim (a6)...

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed