Model of Viscoplasticity for Transversely Isotropic Inelastically Compressible Solids
Publication: Journal of Engineering Mechanics
Volume 127, Issue 6
Abstract
A transversely isotropic, viscoplasticity model is formulated as an extension of Bodner's model. Account is made of inelastic deformation that can occur in strongly anisotropic materials under hydrostatic stress. The extended model retains the simplicity of the Bodner model, particularly in the ease with which the material constants are determined. Although the proposed model is based on a scalar state variable, it is capable of representing material anisotropy under the assertion that history-induced anisotropy can be ignored relative to strong initial anisotropy. Physical limitations on the material parameters are identified and discussed. The model is applied to a W/Cu metal matrix composite; characterization is made using off-axis tensile data generated at NASA Glenn Research Center.
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References
1.
Allirot, D., Boehler, J. P., and Sawczuk, A. ( 1977). “Irreversible deformations of anisotropic rock under hydrostatic pressure.” Int. J. Rock Mech. Min. Sci and Geomechanical Abstracts, 14, 77–83.
2.
Binienda, W. K., and Robinson, D. N. (1991). “Creep model for metallic composites based on matrix testing.”J. Engrg. Mech., ASCE, 117(3), 624–639.
3.
Bodner, S. R. ( 1987). “Review of unified elastic-viscoplastic theory.” Unified equations for creep and plasticity, A. K. Miller, eds., Elsevier Science, New York.
4.
Bodner, S. R., and Partom, Y. ( 1975). “Constitutive equations for elastic-viscoplastic strain hardening materials.” J. Appl. Mech., 42, 385–389.
5.
Chan, K. S., Bodner, S. R., Fossum, A. F., and Munson, D. E. ( 1992). “A constitutive model for inelastic flow and damage evolution in solids under triaxial compression.” Mech. of Mat., 14, 1–14.
6.
Doraivelu, S. M., Gegel, H. L. Malas, J. C., and Morgan, J. T. ( 1984). “A new yield function for compressible p/m materials.” Int. J. Mech. Sci., 26, 527–535.
7.
Dvorak, G. J. ( 1983). “Metal matrix composites: Plasticity and failure.” Mechanics of composite material: Recent advances, Z. Hashin and C. T. Herakovich, eds., Pergamon Press, Oxford, England, 73–91.
8.
Dvorak, G. J., and Rao, M. S. M. ( 1976). “Axisymmetric plasticity theory of fibrous composites.” Int. J. Engrg. Sci., 14, 361–373.
9.
Lance, R. H., and Robinson, D. N. ( 1971). “A maximum shear stress theory of plastic failure of fiber-reinforced materials.” J. Mech. Phys. Solids, 19, 49–60.
10.
Robinson, D. N., and Duffy, S. F. (1990). “Continuum deformation theory for high-temperature metallic composites.”J. Engrg. Mech., ASCE, 116(4), 832–844.
11.
Robinson, D. N., and Pastor, M. S. ( 1993). “Limit pressure of a circumferentially reinforced ScC/Ti ring.” Composites, 2(4), 229–238.
12.
Robinson, D. N., Tao, Q., and Verrilli, M. J. ( 1994). “A hydrostatic stress-dependent anisotropic model of viscoplasticity.” NASA Technical Memorandum 106525,
13.
Rogers, T. G. ( 1990). “Yield criteria, flow rules and hardening in anisotropic plasticity.” Yielding, damage and failure of anisotropic solids, J. P. Boehler, ed., Mechanical Engineering Publications, London, 53–79.
14.
Spencer, A. J. M. ( 1972). Deformation of Fibre-Reinforced Materials, Clarendon, Oxford, England.
15.
Spencer, A. J. M. ( 1984). “Constitutive theory for strongly anisotropic solids.” Continuum theory of fibre-reinforced composites, Springer, New York.
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 6 • June 2001
Pages: 567 - 573
History
Received: Aug 18, 2000
Published online: Jun 1, 2001
Published in print: Jun 2001
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