Engineering Transactions, 28, 4, pp. 605–615, 1980

Quasi-static motion of compressible hypo-elastic sphere and cylinder

Peking University

Peking University

The present paper deals with the quasi-static motion of compressible hypo-elastic bodies of grade zero and grade one, The initial-boundary problems of the raidal motion of a sphere and the plane-radial motior of a cylinder have been studied in detail, their exact solutions being ob­tained. It has been concluded that for any fixed moment the density of mass and the stress field of the body are homogeneous, while the velocity of the particle is in proportion to its distance from the centre of the sphere (or, from the axis of the cylinder).

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C. TRUESDELL, The simplest rate theory ofpure elasticity, Comm. Pure Appl. Math., 8, 1, 123-132, 1955.

C. TRUESDELL, Hypo-elasticity, Journ. Rat. Mech. Anal., 4, 1, 83-133, 1955.

W. NULL, On the continuity of the solid and fluid states, Journ. Rat. Mech. Anal., 4, 1, 3-81, 1955.

B. BERNSTEIN, Hypo-elasticity and elasticity, Arch. Rat. Mech. Anal., 6, 2, 89-104, 1960.

B. BERNSTEIN, Relation between hypo-elasticity and elasticity, Trans. Soc. Rheol.,4,1, 23-28, 1960.

Guo ZHONG-HENG, Some notes on hypo-elasticity, Arch. Mech, 15, 5, 683-690, 1963.

Guo ZI-TONG-HENG, Time derivatives of tensor fields in nonlinear continuum mechanics, Arch. Mech., 15, 1, 131-163, 1963.

A. E. GREEN, Simple extension of hypo-elastic body of grade zero, Jour. Rat. Mech. Anal., 5, 4, 637-642, 1956.

Guo ZHONG-HENG, Certain dynamical problem of an incompressible hypo-elastic sphere, Arch. Mech., 15, 6, 871-878, 1963.

Guo ZHONG-HENG, A dynamical problem of an incompressible hypoelastic cylinder, Acta Mech. Sinica, 7, 3, 222-227, 1964.