TY - JOUR
T1 - Analytical solutions for finite cylinders compressed between platens and the strain effect on the valence-band structure of Si1-xGex alloy
AU - Wei, X. X.
PY - 2007/12/1
Y1 - 2007/12/1
N2 - This paper presents an analytical solution for inhomogeneous strain and stress distributions within finite circular cylinders of Si1-xGex alloy under compression test with end friction. The method follows Lekhnitskii's stress function approach, but a new expression for the stress function is proposed so that all of the governing equations and boundary conditions are satisfied exactly. Numerical results show that the axial, radial, circumferential and shear strains are all inhomogeneous within finite cylinders, and local strain concentrations near two end surfaces were usually developed as long as friction exists between end surfaces and loading platens. Moreover, by using envelope-function method, the effect of strain on the valence-band structure of Si1-xGex alloy is also studied. It was found that strain can induce band splitting, alteration of the shape of constant energy surfaces of the heavy-hole and the light-hole bands of Si1-xGex alloy.
AB - This paper presents an analytical solution for inhomogeneous strain and stress distributions within finite circular cylinders of Si1-xGex alloy under compression test with end friction. The method follows Lekhnitskii's stress function approach, but a new expression for the stress function is proposed so that all of the governing equations and boundary conditions are satisfied exactly. Numerical results show that the axial, radial, circumferential and shear strains are all inhomogeneous within finite cylinders, and local strain concentrations near two end surfaces were usually developed as long as friction exists between end surfaces and loading platens. Moreover, by using envelope-function method, the effect of strain on the valence-band structure of Si1-xGex alloy is also studied. It was found that strain can induce band splitting, alteration of the shape of constant energy surfaces of the heavy-hole and the light-hole bands of Si1-xGex alloy.
KW - Compression test
KW - End friction
KW - Inhomogeneous strain
KW - SiGe alloy
UR - http://www.scopus.com/inward/record.url?scp=35148854183&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2007.05.016
DO - 10.1016/j.ijsolstr.2007.05.016
M3 - Article
AN - SCOPUS:35148854183
SN - 0020-7683
VL - 44
SP - 7906
EP - 7923
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 24
ER -