It can be concluded that these differences were relatively significant when oil shale was regarded as an isotropic material
. Based on the above, the relationship between the final heating time and equivalent diameter was described.
In this subsection we give a natural extension of Hill's class of compressible materials to transversely isotropic materials
by introducing the structure tensor L, which is defined as
From Table 2, it can be seen that in case of isotropic material
(steel) effective pressure required for initial yielding and fully plastic state is high for the cylinder whose radii ratio is 0.2, as compared to the cylinder with other radii ratios, that is, 0.3,0.4, and so forth.
Material properties of isotropic materials
: Steel and Aluminum are given in Table 6 whereas the material properties of the constituent materials forming functionally graded layers are listed in Table 7
To capture the presence of neuron fibers in the brain, the data obtained from Diffusion Tensor MRI(DTI) was incorporated into the finite element model so that, based on the fiber direction in each voxel, the material model was suitably applied to behave as a transverse isotropic material
. The use of DTI data in conjunction with the transverse isotropic material
model is a novel method that has not been attempted so far because the material data available for brain tissue are mostly isotropic in character.
The great advantage of femur bone an as composite is that it can be so arranged that in at least one direction the material is much stronger and stiffer than isotropic material
of same composition.
The modeling of the test specimens as isotropic materials
produced more agreeable CBL predictions than use of the measured torsional rigidity values.
Importantly, this distribution is limited to structures built of a single, isotropic material
(i.e., the material properties are not directionally variable), with precise specifications for the cross-sectional shape of the beam in question (Roark, 1943).
Citing casting advantages in enhanced fatigue life, isotropic material
properties, guaranteed mechanical properties in thick sections and weldability issues, he said many offshore applications simply could not be achieved through conventional fabrication technology.
However, experiments have shown that anisotropic damage would develop at proper failure sites even for initially isotropic material
[lambda], [mu] are the Lame coefficients and [r.sub.1], [r.sub.2], [r.sub.3] are third order elastic coefficients for an isotropic material
. [C'.sub.1313] and [C'.sub.2323] are the additional elastic coefficients for slightly anisotropic material.