Rotational invariance, finite strain theory, and spin-lattice interactions in paramagnets; application to the rare-earth vanadates

1976 ◽  
Vol 14 (3) ◽  
pp. 1128-1141 ◽  
Author(s):  
Lynn Bonsall ◽  
R. L. Melcher
Keyword(s):  
Rare Earth ◽  
Finite Strain ◽  
Strain Theory ◽  
Rotational Invariance ◽  
Spin Lattice ◽  
Finite Strain Theory ◽  
The Rare Earth

Magnetoelastic Interactions in the Rare Earth – Iron Cubic Laves Phase Compounds RFe2

1973 ◽  
Vol 51 (15) ◽  
pp. 1646-1652 ◽  
Author(s):  
B. W. Southern
Keyword(s):  
Rare Earth ◽  
Elastic Constants ◽  
Room Temperature ◽  
Finite Strain ◽  
Strain Theory ◽  
Laves Phase ◽  
Transverse Waves ◽  
Finite Strain Theory ◽  
Laves Phase Compounds ◽  
The Rare Earth

Finite strain theory is used to obtain expressions for the change in various measured elastic constants as a function of applied magnetic field for cubic ferromagnets. Using available data on magnetic anisotropy and magnetostriction, estimates are given for the size of effects that may be expected to be observed in the rare earth – iron cubic Laves phase compounds RFe2 (R = Tb, Dy, Ho, Er, and Tm). The fractional changes in the measured elastic constants for transverse waves are expected to be as large as 10−2 at room temperature.

scholarly journals Rolling of a rigid ball on a horizontal deformable surface

2004 ◽  
Vol 46 (2) ◽  
pp. 249-264
Author(s):  
Maurice N. Brearley ◽  
Neville J. De Mestre
Keyword(s):  
Finite Strain ◽  
Strain Theory ◽  
Golf Ball ◽  
Rigid Sphere ◽  
Billiard Ball ◽  
Ball Rolling ◽  
Deformable Surface ◽  
Finite Strain Theory ◽  
Theoretical Results

AbstractThe rolling of a ball on a horizontal deformable surface was investigated under the assumptions that the ball was a rigid sphere and the surface was elastic. Finite strain theory was used to develop theoretical results which were found to match observations well in cases where the ball and surface involved were such as to ensure no slipping at the region of contact, including a lawn bowl rolling on a grass rink and a billiard ball rolling on carpet. The theory did not match well the behaviour of a golf ball on a grass green because the ball was too light to enforce the no-slipping condition.

Sign in / Sign up

Export Citation Format

Share Document