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http://dx.doi.org/10.3795/KSME-A.2005.29.2.253

Analysis of Damaged Material Response Using Unified Viscoplastic Constitutive Equations  

Ha Sang Yul (포항공과대학교 대학원)
Kim Ki Tae (포항공과대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.29, no.2, 2005 , pp. 253-261 More about this Journal
Abstract
In decades, a substantial body of work on a unified viscoplastic model which considers the mechanism of plastic deformation and creep deformation has developed. The systematic scheme for numerical analysis of unified model is necessary because the dominant failure mechanism is the defect growth and coalescence in materials. In the present study, the unified viscoplastic model for materials with defects suggested by Suquet and Michel was employed for numerical analysis. The constitutive equations are integrated based on the generalized mid-point rule and implemented into a finite element program (ABAQUS) by means of user-defined subroutine (UMAT). To evaluate the validity of the developed UMAT code and the assessment of the adopted viscoplastic model, the results obtained from the UMAT code was compared with the numerical reference solution and experimental data. The unit cell analysis also has been investigated to study the effect of strain rate, temperature, stress triaxiality and initial defect volume fraction on the growth and coalescence of the defect.
Keywords
Unified Viscoplastic Constitutive Model; FEM; Generalized Mid-Point Rule; Strain Rate-Dependent Effect; Unit Cell Model;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Needleman, A. and Rice, J. R., 1980, 'Void growth in an Elastic-Plastic Medium,' J. Appl. Mech., Vol. 41, pp.964-970
2 Koplik, J. and Needleman, A., 1988, 'Void growth and Coalescence in Porous Plastic Solids,' Int. J. Solids Struct., Vol. 24, pp. 835-853   DOI   ScienceOn
3 Brocks, W., Sun, D. -Z. and Honig, A., 1995, 'Verification of the Transferability of Micromechanical Parameters by Cell Model Calculations with ViscoPlastic Materials,' Int. J. Plasticity, Vol. 11, pp. 971-989   DOI   ScienceOn
4 Lush, A. M., Weber, G and Anand, L., 1989, 'An Implicit Time-Integration Procedure for a Set of Internal Variable Constitutive Equations for Isotropic Elasto- Viscoplasticity,' Int. J. Plasticity, Vol. 5, pp. 521-549   DOI   ScienceOn
5 Honberger, K. and Stamm, H., 1989, 'An Implicit Integration Algorithm with a Projection Method for Viscoplastic Constitutive Equations,' Int. J. Num. Meth. Engng., Vol. 28, pp. 2397   DOI
6 ABAQUS, User's manual I and II, 2003, Hibbit, Karlsson, and Sorensen, USA
7 Simo, J. C. and Hughes, T. J. R., 1997, Computatioal Inelasticity, Springer
8 Ortiz, M. and Popov, E. P., 1985, 'Accuracy and Stability of Integration Algorithms for Elastoplastic Constitutive Relations,' Int. J. Num. Meth. Engng., Vol. 21, pp. 1561   DOI   ScienceOn
9 Hughes, T. J. R. and Winget, J., 1980, 'Finite Rotation Effects in Numerical Integration of Rate Constitutive Equations Arising in Large-Deformation Analysis,' Int. J. Num. Meth. Engng., Vol. 15, pp. 1862   DOI   ScienceOn
10 Michel, J. C. and Suquet, P., 1992, 'The Constitutive Law of Nonlinear Viscous and Porous Materials,' J. Mech. Phys. Solids, Vol. 40, pp. 783-812   DOI   ScienceOn
11 Zavaliangos, A., Anand, L. and von Turkovich, B. E, 1991, 'Towards a Capability for Predicting the Formation of Defects During Bulk Deformation Processing,' Annals ofCIRP, Vol. 40, pp. 267-271   DOI   ScienceOn
12 Ortiz, M. and Simo, J. C., 1986, 'An Analysis of a New Class ofIntegration Algorithms for Elasto-Plastic Constitutive Equations,' Int. J. Num. Meth. Engng., Vol. 23, pp. 353-366   DOI   ScienceOn
13 Hui, L., Sunil, S. and Piehler, H. R., 1995, 'A Critical Evaluation and Extension of Internal State Variables Constitutive Models,' Int. J. Plasticity, Vol. 11, pp. 331-345   DOI   ScienceOn
14 Cocks, A. C. F., 1989, 'Inelastic Deformation of Porous Materials,' J. Mech. Phys. Solids, Vol. 37, pp. 693-715   DOI   ScienceOn
15 Wilkins, M. L., 1964, 'Calculation of Elastic-Plastic Flow,' in Methods of Computational Physics, Vol. 3, (ed. Alder, B., Fembach, S. and Rotenberg, M), Academic Press, New York.
16 Govindarajan, R. M., 1992, Deformation Processing of Porous Metals, Doctorial thesis, University of Pennsylvania, U. S. A.
17 Haghi, M., 1992, Elasto-Viscoplasticity of Porous Metals at Elevated Temperatures, Doctorial thesis, M. I. T, U. S.A.
18 S. S. Youn, S. B. Lee, J. B. Kim, H. Y. Lee and B. Yoo, 2000, 'Generalization of Integration Methods for Complex Inelastic Constitutive Equations with State Variables,' Transactions of KSME(A), Vol. 24, No.5, pp. 1075 -1082
19 Zhang, Z. L., 1995, 'On the Accuracy of Numerical Integration Algorithms for Gurson-Based PressureDependent Elastoplastic models,' Comp Methods Appl. Mech. Engng., Vol. 121, pp. 15-28   DOI   ScienceOn
20 Zhang, Z. L., 1995, 'Explicit Consistent Tangent Moduli with a Return Mapping Algorithms for Pressure-Dependent Elastoplastic Constitutive Models,' Comp Methods Appl. Mech. Engng., Vol. 121, pp. 29-44   DOI   ScienceOn
21 Nagtegaal, J. C., 1982, 'On the Implementation of Inelastic Constitutive Equations with Special Reference to Large Deformation Problems,' Camp. Methods Appl. Mech. Engng., Vol. 33, pp. 469   DOI   ScienceOn
22 Aravas, N., 1987, 'On the Numerical Integration of a Class of Pressure-Dependent Plasticity Models,' Int. J. Num. Meth. Engng., Vol. 24, pp. 1395-1416   DOI   ScienceOn