Hashin, Z. (1991a). The spherical inclusion with imperfect interface. Transaction of the ASME,
Journal of Applied Mechanics, 58, 444–449.
Hashin, Z. (1991b). Thermoelastic properties of particulate composites with imperfect interface.
Journal of the Mechanics and Physics of Solids, 39(6), 745–762.
Hashin, Z., & Shtrikman, S. (1963). A variational approach to the theory of the elastic behavior of
multiphase materials. Journal of the Mechanics and Physics of Solids, 11, 127–140.
Ju, J. W., & Chen, T. M. (1994a). Micromechanics and effective moduli of elastic composites
containing randomly dispersed ellipsoidal inhomogeneities. Acta Mechanica, 103, 103–121.
Ju, J. W., & Chen, T. M. (1994b). Effective elastic moduli of two-phase composites containing
randomly dispersed spherical inhomogeneities. Acta Mechanica, 103, 123–144.
Ju, J. W., & Tseng, K. H. (1996). Effective elastoplastic behavior of two-phase ductile matrix
composites: A micromechanical framework. International Journal of Solids & Structures, 33
(29), 4267–4291.
Ju, J. W., & Tseng, K. H. (1997). Effective elastoplastic algorithms for ductile matrix composites.
Journal of Engineering Mechanics, 123(3), 260–266.
Kerner, E. H. (1956). The elastic and thermoelastic properties of composite media. The Proceedings
of Physical Society, 69B, 808–813.
Levin, V. M. (1967). Thermal expansion coefficients of heterogeneous materials. Mechanics of
Solids, 2(1), 58–94.
Mura, T. (1987). Mechanics of elastic and inelastic solids: Micromechanics of defects in solids (2nd
ed.). Leiden: Martinus Nijhoff Publishers.
Nie, S. (2005). A micromechanical study of the damage mechanics of acrylic particulate composites
under thermomechanical loading. PhD Dissertation, Submitted to Department of Civil, Structural and Environmental Engineering, University at Buffalo.
Nie, S., & Basaran, C. (2005). A micromechanical model for effective elastic properties of
particulate composites with imperfect interfacial bonds. International Journal of Solids &
Structures, 42(14), 4179–4191.
Nielsen, L. E., & Landel, R. F. (1994). Mechanical properties of polymers and composites (2nd
ed.). New York: Marcel Dekker.
Ortiz, M., & Martin, J. E. (1989). Symmetry-preserving return-mapping algorithms and incrementally extremal paths: A unification of concepts. International Journal for Numerical Methods in
Engineering, 28, 1839–1853.
Prager, W. (1956). A new method of analyzing stresses and strains in work-hardening plastic solids.
Journal of Applied Mechanics, 23, 493–496.
Simo, J. C., & Hughes, T. J. R. (1998). Interdisciplinary applied mathematics, mechanics and
materials, computational inelasticity. New York: Springer.
Simo, J. C., & Taylor, R. L. (1985). Consistent tangent operators for rate-independent
elastoplasticity. Computer Methods in Applied Mechanics and Engineering, 48, 101–119.
Smith, J. C. (1974). Correction and extension of van der Poel’s method for calculating the shear
modulus of a particulate composite. Journal of Research of the National Bureau of Standards-A.
Physics and Chemistry, 78A(3), 355–361.
Smith, J. C. (1975). Simplification of van der Poel’s formula for the shear modulus of a particulate
composite. Journal of Research of the National Bureau of Standards-A. Physics and Chemistry,
79A(2), 419–423.
Van der Poel, C. (1958). On the rheology of concentrated suspensions. Rheologica Acta, 1, 198.
Walpole, L. J. (1966). On bounds for the overall elastic moduli of inhomogeneous systems-I.
Journal of the Mechanics and Physics of Solids, 14, 151.
Ziegler, H. (1959). A modification of Prager’s hardening rule. Quarterly of Applied Mathematics,
17, 55–65.
342
6 Unified Micromechanics of Particulate Composites
Journal of Applied Mechanics, 58, 444–449.
Hashin, Z. (1991b). Thermoelastic properties of particulate composites with imperfect interface.
Journal of the Mechanics and Physics of Solids, 39(6), 745–762.
Hashin, Z., & Shtrikman, S. (1963). A variational approach to the theory of the elastic behavior of
multiphase materials. Journal of the Mechanics and Physics of Solids, 11, 127–140.
Ju, J. W., & Chen, T. M. (1994a). Micromechanics and effective moduli of elastic composites
containing randomly dispersed ellipsoidal inhomogeneities. Acta Mechanica, 103, 103–121.
Ju, J. W., & Chen, T. M. (1994b). Effective elastic moduli of two-phase composites containing
randomly dispersed spherical inhomogeneities. Acta Mechanica, 103, 123–144.
Ju, J. W., & Tseng, K. H. (1996). Effective elastoplastic behavior of two-phase ductile matrix
composites: A micromechanical framework. International Journal of Solids & Structures, 33
(29), 4267–4291.
Ju, J. W., & Tseng, K. H. (1997). Effective elastoplastic algorithms for ductile matrix composites.
Journal of Engineering Mechanics, 123(3), 260–266.
Kerner, E. H. (1956). The elastic and thermoelastic properties of composite media. The Proceedings
of Physical Society, 69B, 808–813.
Levin, V. M. (1967). Thermal expansion coefficients of heterogeneous materials. Mechanics of
Solids, 2(1), 58–94.
Mura, T. (1987). Mechanics of elastic and inelastic solids: Micromechanics of defects in solids (2nd
ed.). Leiden: Martinus Nijhoff Publishers.
Nie, S. (2005). A micromechanical study of the damage mechanics of acrylic particulate composites
under thermomechanical loading. PhD Dissertation, Submitted to Department of Civil, Structural and Environmental Engineering, University at Buffalo.
Nie, S., & Basaran, C. (2005). A micromechanical model for effective elastic properties of
particulate composites with imperfect interfacial bonds. International Journal of Solids &
Structures, 42(14), 4179–4191.
Nielsen, L. E., & Landel, R. F. (1994). Mechanical properties of polymers and composites (2nd
ed.). New York: Marcel Dekker.
Ortiz, M., & Martin, J. E. (1989). Symmetry-preserving return-mapping algorithms and incrementally extremal paths: A unification of concepts. International Journal for Numerical Methods in
Engineering, 28, 1839–1853.
Prager, W. (1956). A new method of analyzing stresses and strains in work-hardening plastic solids.
Journal of Applied Mechanics, 23, 493–496.
Simo, J. C., & Hughes, T. J. R. (1998). Interdisciplinary applied mathematics, mechanics and
materials, computational inelasticity. New York: Springer.
Simo, J. C., & Taylor, R. L. (1985). Consistent tangent operators for rate-independent
elastoplasticity. Computer Methods in Applied Mechanics and Engineering, 48, 101–119.
Smith, J. C. (1974). Correction and extension of van der Poel’s method for calculating the shear
modulus of a particulate composite. Journal of Research of the National Bureau of Standards-A.
Physics and Chemistry, 78A(3), 355–361.
Smith, J. C. (1975). Simplification of van der Poel’s formula for the shear modulus of a particulate
composite. Journal of Research of the National Bureau of Standards-A. Physics and Chemistry,
79A(2), 419–423.
Van der Poel, C. (1958). On the rheology of concentrated suspensions. Rheologica Acta, 1, 198.
Walpole, L. J. (1966). On bounds for the overall elastic moduli of inhomogeneous systems-I.
Journal of the Mechanics and Physics of Solids, 14, 151.
Ziegler, H. (1959). A modification of Prager’s hardening rule. Quarterly of Applied Mathematics,
17, 55–65.
342
6 Unified Micromechanics of Particulate Composites