The present review on inclusion problems emphasizes papers published after 1982. Materials associated with inclusions are composite materials, precipitated or transformed alloys, porous media, and polycrystals. The inclusion problems deal with the following subjects of these materials: (1) average elastic moduli and average thermal properties; (2) nonelastic constitutive equations; (3) behavior of inclusions including nucleation, growth, and collapse of voids; (4) cracks and inclusions including the transformation toughening, crack growth through composites and stress intensity factors; (5) sliding and debonding inclusions; and (6) dynamic effects of inclusions.

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