TY - JOUR
T1 - Saint-Venant torsion of a two-phase circumferentially symmetric compound bar
AU - Chen, Tungyang
AU - Huang, Yi Li
N1 - Funding Information:
The first author is grateful to Professor G.J. Weng for reading the first draft of the paper and for his helpful comments. This work was supported by the National Science Council, Taiwan, under contract NSC88-2211-E006-015.
PY - 1998
Y1 - 1998
N2 - This work is concerned with the Saint-Venant torsion problem of a two-phase circumferentially symmetric compound prismatic bar. By generalizing a method originally proposed by Packham and Shail, we demonstrate that for a particular two-phase configuration, simply or multiply connected, which is invariant with phase interchange, the solutions can be constructed from solutions of two analogous problems with constant material properties. An effective shear modulus is derived in analytic form, which is approximately the harmonic mean of the component shear moduli. We also show that the effective torsional shear modulus is homogeneous for arbitrary configurations.
AB - This work is concerned with the Saint-Venant torsion problem of a two-phase circumferentially symmetric compound prismatic bar. By generalizing a method originally proposed by Packham and Shail, we demonstrate that for a particular two-phase configuration, simply or multiply connected, which is invariant with phase interchange, the solutions can be constructed from solutions of two analogous problems with constant material properties. An effective shear modulus is derived in analytic form, which is approximately the harmonic mean of the component shear moduli. We also show that the effective torsional shear modulus is homogeneous for arbitrary configurations.
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U2 - 10.1023/A:1007576732476
DO - 10.1023/A:1007576732476
M3 - Article
AN - SCOPUS:0032273259
SN - 0374-3535
VL - 53
SP - 109
EP - 124
JO - Journal of Elasticity
JF - Journal of Elasticity
IS - 2
ER -