A continuum damage mechanics (CDM) model is proposed to predict grinding damage of ceramics. The model takes into account the inelastic behavior of ceramics, the effect of grinding induced hydrostatic pressure and the coupling effect between volumetric and deviatoric deformations on damage. A numerical algorithm is proposed and a three-dimensional finite element program is developed for the model. Damage is analyzed for silicon nitride ceramics subjected to single grit grinding conditions. The damage predicted by the model shows good agreement to the measurement results obtained by experiments. The model can also be used to predict grinding damage for other types of materials. [S1087-1357(00)70301-7]
Issue Section:
Technical Papers
1.
Malkin
, S.
, and Ritter
, J. E.
, 1989
, “Grinding Mechanisms and Strength Degradation for Ceramics
,” ASME J. Eng. Ind.
, 111
, pp. 167
–174
.2.
Mayer
, Jr., J. E.
, and Fang
, G. P.
, 1994
, “Strength of Ground Silicon Nitride Ceramic
,” Annals of the CIRP
, 44
, pp. 279
–282
.3.
Xu
, H. H. K.
, Jahanmir
, S.
, and Ives
, L. K.
, 1996
, “Material Removal and Damage Formation Mechanisms in Grinding Silicon Nitride
,” J. Mater. Res.
, 11
, pp. 1717
–1724
.4.
Zhang
, B.
, Tokura
, H.
, and Yoshikawa
, M.
, 1988
, “Study on Surface Cracking of Alumina Scratched by Single-Point Diamond
,” J. Mater. Sci.
, 23
, pp. 3214
–3224
.5.
Koepke, B. G., et al., 1985, Ceramic Materials for Advanced Heat Engines, Noyer Publications, pp. 101–168.
6.
Conway
, J. C.
, and Kirchner
, H. P.
, 1986
, “Crack Branching as a Mechanism of Crushing during Grinding
,” J. Am. Ceram. Soc.
, 69
, pp. 603
–607
.7.
Zhang
, B.
, and Howes
, T. D.
, 1994
, “Material Removal Mechanisms in Grinding Ceramics
,” Annals of the CIRP
, 43
, pp. 305
–308
.8.
Lemaitre
, J.
, 1984
, “How To Use Damage Mechanics
,” Nucl. Eng. Des.
, 80
, pp. 233
–245
.9.
Kachanov
, L. M.
, 1987
, “Continuum Model of Medium with Cracks
,” J. Eng. Mech. Div., ASCE
, 106
, pp. 1039
–1051
.10.
Simo
, J. C.
, and Ju
, J. W.
, 1987
, “Stress and Strain Based Continuum Damage Models
,” Int. J. Solids Struct.
, 23
, pp. 821
–869
.11.
Ju
, J. W.
, and Lee
, X.
, 1991
, “Micromechanical Damage Model for Brittle Solids
,” J. Eng. Mech.
, 117
, pp. 1495
–1536
.12.
Chaboche
, J. L.
, Lesne
, P. M.
, and Maire
, J. F.
, 1995
, “Continuum Damage Mechanics, Anisotropy and Damage Deactivation for Brittle Materials Like Concrete and Ceramic Composites
,” Int. J. Damage Mech.
, 4
, pp. 5
–22
.13.
Peng
, X.
, and Ponter
, A. R. S.
, 1994
, “A Constitutive Law for a Class of Two-Phase Materials with Experimental Verification
,” Int. J. Solids Struct.
, 31
, pp. 1099
–1111
.14.
Fan
, J.
, and Peng
, X.
, 1991
, “A Physically Based Constitutive Description for Nonproportional Cyclic Plasticity
,” J. Eng. Mater. Technol.
, 113
, pp. 254
–262
.15.
Peng
, X.
, Meyer
, C.
, and Fang
, L.
, 1997
, “A Thermomechanically Consistent Continuum Damage Model for Concrete Materials
,” J. Eng. Mech.
, 123
, pp. 60
–69
.16.
Chaboche
, J. L.
, and Rousselier
, G.
, 1983
, “On the Plastic and Viscoplastic Constitutive Equations
,” ASME J. Pressure Vessel Technol.
105
, pp. 153
–164
.17.
Valanis
, K. C.
, 1980
, “Fundamental Consequences of New Intrinsic Time Measure Plasticity as a Limit of the Endochronic Theory
,” Arch. Mech.
, 23
, pp. 171
–190
.18.
Watanabe
, O.
, and Atluri
, S. N.
, 1986
, “Internal Time, General Internal Variable and Multi-Yield Surface Theories of Plasticity and Creep: A Unification of Concept
,” Int. J. Plast.
, 2
, pp. 37
–52
.19.
Chaboche
, J. L.
, 1986
, “Time-Independent Constitutive Theories for Cyclic Plasticity
,” Int. J. Plast.
, 2
, pp. 149
–188
.20.
Zhang
, B.
, Tokura
, H.
, and Yoshikawa
, M.
, 1988
, “On Surface Integrity of Silicate Ceramics Scratched by Single-Point Diamonds
,” J. Jpn. Soc. Precis. Eng.
, 54
, pp. 587
–593
.21.
Kalpakjian S., 1991, Manufacturing Processes for Engineering Materials, 2nd Ed., Addison-Wesley Publishing Company, pp. 318–324.
22.
Yoshikawa
, M.
, Zhang
, B.
, and Tokura
, H.
, 1987
, “Observations of Ceramic Surface Cracks by Newly Proposed Methods
,” J. Ceram. Soc. Jpn.
, 95
, pp. 911
–918
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