Engineering Transactions, 48, 1, pp. 25–42, 2000

Stresses in Viscoelastic Sphere Dried Convectively

J. Banaszak
Institute of Fundamental Technological Research Polish Academy of Sciences

S.J. Kowalski
Poznan University of Technology

The deformations and the drying-induced stresses in a saturated porous elastic and visco-elastic sphere dried convectively are analysed. The considerations are confined to the constant drying rate period. The solution of the problem is obtained using both the Laplace transformations and the numerical finite difference method. The drying experiment was performed on spheres made of three different clay sorts in order to validate the results obtained by numerical analysis. The results obtained are presented in graphical form.
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T. ALFREY, Mechanical behaviour of high polymers, Interscience, New York – London 1948.

B.A. BOLEY and J.H. WEINER, Theory of thermal stresses, John Wiley and Sons, New York, London 1960.

J.D. FERRY, Viscoelastic properties of polymers, John Wiley and Sons, Inc., NY 1970.

N.J. HOFF, Stress distribution in the presence of creep, high temperature effects in aircraft structures, Pergamon Press, 248–266, 1958.

Y. ITAYA, S. MABUCHI and M. HASATANI, Deformation behavior of ceramic slabs by nonuniform drying, Drying Technology, 13(3), 801–819, 1995.

D. KIRKHAM, W.L. Powers, Advanced soil physics, John Wiley and Sons, Canada 1972.

S.J. KOWALSKI, Thermomechanics of constant drying rate period, Arch. Appl. Mech., 39, 3, 157–176, 1987.

S.J. KOWALSKI, Drying processes involving permanent deformations of dried materials, Int. J. Engng. Sci., 34, 13, 1491–1506, 1966.

S.J. KOWALSKI, Mathematical modelling of shrinkage by drying, Drying Technology, 14, 2, 307–331, 1966.

S.J. KOWALSKI and Cz. STRUMIŁŁO, Moisture transport in dried materials, Boundary Conditions, Chem. Engng. Sci., 52, 7, 1141–1150, 1997.

S.J. KOWALSKI, G. MUSIELAK, Mathematical modelling of the drying process of capillary porous media; An example of convectively dried plate, Engng. Trans., 36, 2, 239–252, 1988.

S.J. KOWALSKI, G. MUSIELAK and A. RYBICKI, Shrinkage stresses in dried materials, Engng. Trans., 40, 1, 115–131, 1988.

S.J. KOWALSKI, G. MUSIELAK and A. RYBICKI, Drying processes – thermomechanical approach [in Polish], IFTR – PSP, Poznan – Warszawa, pp. 225, 1996.

R.W. LEWIS, M. STRADA and G. COMINI, Drying-induced stresses in porous bodies, Int. J. Num. Meth. Engng., 11, 1175–1184, 1996.

P. MOON and D.E. SPENCER, Field theory for engineers [in Polish], PWN, Warszawa 1996.

L. W. MORLAND and E.H. LEE, Stress analysis for linear viscoelastic materials with temperature variation, Trans, of the Society of Rheology, IV, 233, 1960.

R. MUKI and E. STERNBERG, On transient thermal stresses in viscoelastic materials with temperature dependent properties, J. Appl. Mech, 6, 193, 1961.

W. NOWACKI, Theory of elasticity, PWN, Warszawa 1970.

V.N.M. RAO, D.D. HAMMAN and J.R. HAMMERLE, Stress analysis of a viscoelastic sphere subjected to temperature and moisture gradients, J. Agric. Engng Res., 20, 283–293, 1975.

A.E. SCHEIDEGGER, The physics of flow through porous media, University of Toronto Press, Toronto 1957.

S.P. TIMOSHENKO and J.N. GOODIER, Theory of elasticity, McGraw-Hill Book Co., NY. 1970.

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