The initial charge's shape, temperature, stress tensor
and anisotropic material property are first computed by LS-Dyna; then, carrying those physical properties, the deformed charge is exported to Moldex3D to continue the compression molding analysis.
3, the divergence of the stress tensor
fields is an appropriately blended Reynolds stress tensor
entering the divergence operator on the right-hand-side of the momentum equation (Eq.
summation] and [summation]' are obtained by applying different linear transformations onto deviatoric stress tensor
S, reads, respectively
Diagnosis is suggested to conduct on the basis of spectral analysis of functions of tensor magnetic stress tensor
using fast Fourier transform (FFT).
It means developing the appropriate software to calculate the complete stress tensor
in rock mass and its visualization.
c](f), also has been confirmed to approximately agree with the distance for the phase difference in Lighthill's stress tensor
at the same position of [phi] = [pi]/4 (45 degrees).
The internal force field in that medium is assumed to be described by the Cauchy stress tensor
The crystalwas partially relaxed using our external program for optimization of the cell shape (to converge the controlled stress tensor
components to the predetermined values with allowed deviations below 0.
Ming, "Asymptotic expansions of stress tensor
for linearly elastic shell," Applied Mathematical Modelling, vol.
The geometry of the spacetime continuum of General Relativity resulting from the energy-momentum stress tensor
can thus be seen to be a representation of the deformation of the spacetime continuum resulting from the strains generated by the energy-momentum stress tensor
where W is the Helmholtz free energy, [theta] is the absolute temperature, S is the entropy density per unit reference volume, S is the entropy flux, J is the extra entropy flux, F is the deformation gradient, T is the first Piola-Kirchhoff stress tensor
and colon denotes the tensor contraction.