TY - JOUR
T1 - Impression and diffusional creep of anisotropic media
AU - Yang, Fuqian
AU - Li, J. C.M.
PY - 1995
Y1 - 1995
N2 - Some diffusion problems in the impression and diffusional creep of anisotropic materials are analyzed. It is found that at the limit of low stress, both the diffusional creep rate and impression velocity are proportional to the applied stress. For a parallelepiped crystal under simple tension or compression in the Z direction, the diffusional creep rate depends on all three principal diffusivities, DX, DY, and DZ. Two limiting cases depend on the quantity √DXDY/D Z. When this quantity is large the creep rate is proportional to √DZ but when it is small the creep rate is independent of DZ. For a cylindrical crystal under tension or compression in the axial Z direction, the creep rate depends on Dr/DZ. When the ratio is large, the creep rate is the same as the isotropic case except that the effective diffusivity is √DrDZ. When the ratio is small, the creep rate is proportional to Dr and independent of DZ. For the impression creep of a half-space the punch velocity is proportional to the geometric mean of the principal diffusivities parallel and perpendicular to the loading direction, and inversely proportional to the punch dimension. For impression creep of a thin film deposited on an impermeable substrate under the same punching stress, the impression velocity is dependent only on the diffusivity parallel to the thin film, and inversely proportional to the square of the punch dimension. Without the substrate, the impression velocity is dependent only on the diffusivity perpendicular to the thin film, inversely proportional to the thickness of the film, and independent of the punch dimension.
AB - Some diffusion problems in the impression and diffusional creep of anisotropic materials are analyzed. It is found that at the limit of low stress, both the diffusional creep rate and impression velocity are proportional to the applied stress. For a parallelepiped crystal under simple tension or compression in the Z direction, the diffusional creep rate depends on all three principal diffusivities, DX, DY, and DZ. Two limiting cases depend on the quantity √DXDY/D Z. When this quantity is large the creep rate is proportional to √DZ but when it is small the creep rate is independent of DZ. For a cylindrical crystal under tension or compression in the axial Z direction, the creep rate depends on Dr/DZ. When the ratio is large, the creep rate is the same as the isotropic case except that the effective diffusivity is √DrDZ. When the ratio is small, the creep rate is proportional to Dr and independent of DZ. For the impression creep of a half-space the punch velocity is proportional to the geometric mean of the principal diffusivities parallel and perpendicular to the loading direction, and inversely proportional to the punch dimension. For impression creep of a thin film deposited on an impermeable substrate under the same punching stress, the impression velocity is dependent only on the diffusivity parallel to the thin film, and inversely proportional to the square of the punch dimension. Without the substrate, the impression velocity is dependent only on the diffusivity perpendicular to the thin film, inversely proportional to the thickness of the film, and independent of the punch dimension.
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U2 - 10.1063/1.359524
DO - 10.1063/1.359524
M3 - Article
AN - SCOPUS:0008390880
SN - 0021-8979
VL - 77
SP - 110
EP - 117
JO - Journal of Applied Physics
JF - Journal of Applied Physics
IS - 1
ER -