Abstract
A micromechanical model is developed to simulate the mechanical behaviors of discontinuous reinforced composites. The analysis for a representative unit cell is based on the assumption of a periodic array of aligned reinforcements. The minimum energy principle is used to determine the unknown coefficients of the displacement field of the unit cell. The constitutive behavior of composites is studied to obtain the relationship between the main variables of matrix and reinforcements. It is concluded that the flow strength of composites is strongly influenced by volume fraction, aspect ratio of reinforcement, and the strain hardening exponent of matrix. An analytical constitutive relation of composites is obtained. The predicted results are in agreement with the existing experimental and numerical results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Duva JM. A self-consistent analysis of the stiffening effect of rigid inclusions on a power-law material.Journal of Engineering Materials and Technology, 1984, 106: 317–321
Lee BJ, Mear ME. Effective properties of power law solids containing elliptical inhomogeneities, Part I: Rigid inclusion.Mechanics of Materials, 1992, 13: 313–335
Li G, Ponte Casta≈neda P, Douglas AS. Constitutive models for ductile solids reinforced by rigid spheroidal inclusions.Mechanics of Materials, 1993, 15: 279–300
Tandon GP, Weng GJ. A theory of particle-reinforced plasticity.Journal of Applied Mechanics, 1988, 55: 126–135
Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions.Acta Metallurgica, 1973, 21: 571–574
Hill R. Continuum micro-mechanics of elastoplastic polycrystals.Journal of Mechanics and Physics of Solids, 1965, 13: 89–101
Qiu YP, Weng GJ. The influence of inclusion shape on the overall elastoplastic behavior of a two-phase isotropic composite.Int J Solids Structures, 1991, 27: 1537–1550
Gurson AL. Continuum theory of ductile rupture by void nucleation and growth, I: Yield criteria and flow rules for porous ductile media.J Engng Meter Tech, 1977, 99: 2–15
Zhu HT, Zbib HM. A macroscopic model for plastic flow in metal-matrix composites.International Journal of Plasticity, 1995, 11(4): 471–499
Bao G, Hutchinson JW, Mcmeeking RM. Particle reinforcement of ductile matrices against plastic flow and creep.Acta Metall Mater, 1991, 39(8): 1871–1882
Llorca J, González C. Microstructural factors controlling the stength and ductility of particle-reinforced metal-matrix composites.J Mech Phys Solids, 1998, 46(1): 1–28
Christman T, Needleman A, Suresh S. An experimental and numerical study of deformation in metal-ceramic composites.Acta Metall, 1989, 37: 3029–3050
Christman T, Needleman A, Nutt S, et al.: On microstructural evolution and micromechanical modelling of deformation of a whisker-reinforced metal-matrix composites.Mater Sci Engng, 1989, 107A: 49–61
Llorca J, Suresh S, Needleman A. An experimental and numerical study of cyclic deformation in metal-matrix composites.Metallurgical Trans A, 1992, 23A: 919–934
Tvergaard V. Analysis of tensile properties for a whisker-reinforced metal-matrix composite.Acta Metallurgica et Materialia, 1990, 38(2): 185–194
Levy A, Papazian JM. Tensile properties of short fiber-reinforced SiC/Al composites, Part II: Finite element analysis.Metall Trans, 1990, 21A: 411–420
Ji BH, Wang TC. Elastic-plastic constitutive relation of particle reinforced composites.Acta Mechanica Sinica (English Series), 1999, 15: 344–354
Duva JM, Hutchinson JW. Constitutive potentials for dilutely voided nonlinear materials.Mechanics of Materials, 1984, 3: 41–54
Yang J, Pickard SM, Cady C, et al. The stress/strain behavior of Aluminum matrix composites with discontinuous reinforcements.Acta Metall Mater, 1991, 39: 1863–1869
Nieh TG, Chellman DJ. Modulus measurements in discontinuous reinforced aluminum composites.Scripta Metall, 1984, 18: 925–928
Papazian JM, Adler PN. Tensile properties of short fiber-reinforced SiC/Al composites, Part I: Effects of matrix precipitates.Metall Trans, 1990, 21A: 401–410
Author information
Authors and Affiliations
Additional information
The project supported by the National Natural Science Foundation of China (19704100) and National Science Foundation of Chinese Academy of Sciences (KJ951-1-20)
Rights and permissions
About this article
Cite this article
Baohua, J., Tzuchiang, W. Constitutive relation of discontinuous reinforced metal-matrix composites. Acta Mech Sinica 17, 160–171 (2001). https://doi.org/10.1007/BF02487604
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487604