Abstract
A multiphase material is considered, which consists of a homogeneous elastoplastic matrix containing a homogeneous statistically uniform random set of ellipsoidal elastic inclusions. An approach based on the multiparticle effective field method (MEFM) is introduced for determining the overall elastoplastic behavior of the material under monotonic loading. A secant modulus concept is employed, and linearized problems are solved at each step of an iterative procedure. Physically consistent assumptions are used for linearizing nonlinear functions which depend on the phase averages of the second invariant of stress and on the stress deviator. Exact expressions for the second moments of the microstresses are employed.
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References
Buryachenko V.A. (1993) Effective strength properties of elastic physically nonlinear composites. In: Proc. of the MECAMAT Conf. Micromechanics of Materials (Marigo J.J., Rousselier G. eds.), pp. 567–578, Paris: Editions Eyrolles.
Buryachenko V.A. (1996) The overall elastoplastic behavior of multiphase materials with isotropic components. Acta Mechanica (to appear).
Buryachenko V.A. and Kreher W.Z. (1995) Internal residual stresses in heterogeneous solids —A statistical theory for particulate composites. J. Mech. Phys. Solids 43, 1105–1125.
Buryachenko V.A. and Lipanov A.M. (1989) Effective field method in the theory of perfect plasticity of composite materials. Prikl. Mekh. i Tekh. Fiz. N° 3, 149–155 (In Russian; Engl. Transl.: J. Appl. Mech. & Techn. Phys. 30, 482–487)).
Dvorak G.J. (1992) Transformation field analysis of inelastic composite materials. Proc. R. Soc. Lond. A437, 311–327.
Ju J.W. and Chen T.M. (1994) Micromechanics and effective elastoplastic behavior of two-phase metal matrix composites. ASME J. Engng. Mater. Tech. 116, 310–318.
Kreher W. and Pompe W. (1989) Internal stresses in heterogeneous solids. Berlin: Akademie-Verlag.
Li G. and Ponte Castañeda P. (1993) The effect of particle shape and stiffness on the constitutive behavior of metal-matrix composites. Int. J. Solids Structures 30, 3189–3209.
Michel J.C. and Suquet P. (1992) The constitutive law of nonlinear viscous and porous materials. J. Mech. Phys. Solids 40, 783–812.
Parton V.Z. and Buryachenko V.A. (1990) A stress fluctuation in elastic composites. Docladi AN SSSR 310, 1075–1078. (In Russian. Engl. Transl: Sov. Phys. Docl. 35, 191–193).
Ponte Castañeda P. (1991) The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids 39, 45–71.
Suquet (1995) Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castañeda nonlinear variational procedure. C. R. Acad. Sc. Paris, IIb, 320, 563–571.
Qiu Y.P. and Weng G.J. (1992) A theory of plasticity for porous materials and particle-reinforced composites. ASME J. Appl. Mech. 59, 261–268.
Weissenbek E., Böhm H.J. and Rammerstorfer F.G. (1994). Micromechanical investigations of arrangement effects in particle reinforced metal matrix composites. Comput. Mat. Sci. 3, 263–278.
Willis J.R. and Talbot D.R.S. (1992). Variational methods in the theory of random composite materials. Continuum models and discrete systems (Maugin G.A., ed.) 1, 113–131. London: Longman Scientific & Technical.
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© 1996 Kluwer Academic Publishers
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Buryachenko, V., Böhm, H., Rammerstorfer, F. (1996). Modeling of the Overall Elastoplastic Behavior of Multiphase Materials by the Effective Field Method. In: Pineau, A., Zaoui, A. (eds) IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials. Solid Mechanics and its Applications, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1756-9_5
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DOI: https://doi.org/10.1007/978-94-009-1756-9_5
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