Abstract
In the context of the linear theory of homogeneous and isotropic elastic materials with voids, an initial-boundary-value problem in terms of stress and volume fraction fields is formulated and the uniqueness of its solution established.
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J.W. Nunziato and S.C. Cowin, A Non-linear theory of elastic materials with voids. Arch. Rational Mech. Anal. 72 (1979) 175.
S.C. Cowin and J.W. Nunziato, Linear elastic materials with voids. J. Elasticity 13 (1983) 125.
D. Iesan, Some theorems in the theory of elastic materials with voids, J. Elasticity 15 (1985) 215.
S.C. Cowin and P. Puri, The classical pressure vessel problems for linear elastic materials with voids. J. Elasticity 13 (1983) 157.
S.L. Passman, Stress relaxation, Creep, failure and hysteresis in a linear elastic material with voids. J. Elasticity 14 (1984) 201.
S.C. Cowin, A note on the problem of pure bending for a linear elastic material with voids, J. Elasticity 14 (1984) 227.
S.C. Cowin, The stresses around a hole in a linear elastic material with voids. Quart. J. Mech. Appl. Math. 37 (1984) 441.
P. Puri and S.C. Cowin, Plane waves in linear elastic materials with voids. J. Elasticity 15 (1985) 167.
D.S. Chandrasekharaiah, Surface waves in an elastic halfspace with voids. Acta Mech. 62 (1986) 77.
S.S. Chandrasekharaiah, Effects of surface stresses and voids on Rayleigh waves in an elastic solid. Int. J. Engng. Sci. 25 (1987) 205.
S.C. Cowin, The viscoelastic behaviour of linear elastic materials with voids. J. Elasticity 15 (1985) 185.
S.C. Cowin, Modelling shrinkage mechanisms in porous elastic solids. ASME J. Appl. Mech. 52 (1985) 351.
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Chandrasekharaiah, D.S. A uniqueness theorem in the theory of elastic materials with voids. J Elasticity 18, 173–179 (1987). https://doi.org/10.1007/BF00127556
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DOI: https://doi.org/10.1007/BF00127556