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A theory of transversely isotropic fluids
Journal of Fluid Mechanics, 1966The present paper proposes a theory for the mechanical behaviour of a fluid with a rigid microstructure. The microstructure is described by a director frame of three vectors and a second-order tensor W and its gradient are proposed as measures of the kinematics of this frame.
Allen, S. J., DeSilva, C. N.
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A Twelvth Order Theory of Transverse Bending of Transversely Isotropic Plates
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983AbstractMotivated by the problem of the differences between stress and stress couple concentration factors for transverse bending of plates with small circular holes we use a variational method for the derivation of a twelfth order two‐dimensional theory of transversely isotropic plates, which includes the known sixth order theory of sheardeformable ...
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Acoustoelasticity in transversely isotropic materials
The Journal of the Acoustical Society of America, 1984The acoustoelastic response of a transversely isotropic body loaded in plane stress is computed for arbitrarily severe anisotropy. Relations for the propagation speeds of longitudinal and shear waves propagating normal to the plane of stress are given as functions of the stress.
George C. Johnson, G. Thomas Mase
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Migration in Transversely Isotropic Media by Cascading Isotropic Operators
60th EAGE Conference and Exhibition, 1998Isotropic migration algorithms for seismic data from anisotropic media produce onder certain conditions large position errors for steep reflectors.
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Transversely isotropic elasticity tensors
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987Abstract A representation formula for the elasticity tensor of a linearly elastic, transversely isotropic material is obtained, depending on eight constants. If, besides rotations about the axis of symmetry, reflections with respect to planes through that axis are also regarded as admissible symmetry transformations for the material ...
P. Podio Guidugli +1 more
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Isotropic constituent layers equivalent to a transversely isotropic medium
55th EAEG Meeting, 1993A large fraction of the material occupying sedimentary basins consists of shale-like layered media. The elastic behavior of such shale formations is often found to be a type of transverse isotropy, where a) the horizontal SH velocity is greater than the vertical shear velocity, b) the horizontal P wave velocity is greater than the vertical P wave ...
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A note on transversely-isotropic invariants
ZAMM, 2006The problem of a functional basis for a system of vectors and second rank tensors with respect to the symmetry transformation Q (φ m) is discussed. The invariants are found as integrals of a generic partial differential equation. This approach is illustrated for the case of a single symmetric tensor.
H. Altenbach, K. Naumenko, P. A. Zhilin
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Journal of Biomechanics, 2005
Articular cartilage is a multi-phasic, composite, fibre-reinforced material. Therefore, its mechanical properties are determined by the tissue microstructure. The presence of cells (chondrocytes) and collagen fibres within the proteoglycan matrix influences, at a local and a global level, the material symmetries.
FEDERICO SALVATORE +4 more
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Articular cartilage is a multi-phasic, composite, fibre-reinforced material. Therefore, its mechanical properties are determined by the tissue microstructure. The presence of cells (chondrocytes) and collagen fibres within the proteoglycan matrix influences, at a local and a global level, the material symmetries.
FEDERICO SALVATORE +4 more
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Statics of Transversely Isotropic Beams
AIAA Journal, 1972is increased. As expected, due to slip, Aroesty's result shows a slight decrease in pressure from the strong interaction value. In Fig. 4, skin-friction coefficient is plotted against the rarefaction parameter M^ (c/Rex). It is seen again that slip reduces the skin friction. Also, increase in semiwedge angle increases skin friction.
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On Transversely Isotropic Eddy Viscosity
Journal of Physical Oceanography, 1994Abstract The conventional parameterization of diffusion in geophysical fluid dynamics, which replaces v∇2u in the Navier-Stokes equations by [AH(δx2 + δy2) + AVδz2]u, where AH and AV are eddy viscosities, rests on the hypothesis that the Reynolds-stress tensor τij is a symmetric, transversely isotropic function of the mean velocity-gradient tensor ...
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