With Duffy's shear modulus of molybdenum, the results of Y/G is obtained. Between 10.0 GPa and 16.0 GPa, Y/G is near to 0.02, but departure above 16.0 GPa. It is more reasonable to think Y/G consistent a linear relationship Y/G=0.0007+0.0001P.
The experimental results showed that the micro-crack growthrate dl /dN was a function of σ maxn and crack length l at specifictemperature, where there was a good linear relation between the index n andtemperature.
A Bessel differential equation similar to Lindberg's is derived basing on the general theory of cylindrical shells assuming that shell materials is rigid-plastic, yielding according to the Von Mises conditions and the associated Levy-Mises flow law of incremental plasticity, and that the strain hardening behaviour is approximated by an isotropic linear relationship.
By controlling grids nodal maximum deformation, we can deal better with the distortion of finite element meshes that appear in the shape optimization, and a new numerical method of sensitivity analysis was produced, based on the fictitious load variables, by use of a linear relationship between node displacement and loads.
The principle suggests that a nonlinear vibration system with n degrees of freedom has no less than n nonlinear modes that correspond to n linear modes of the corresponding linear vibration system, no matter the nonlinear vibration system possesses either similar normal modes or dissimilar ones.