It is shown that even in the matrix mode failure the fatigue limit can be above the monotonic damage criterion, where the composite losses its rigidity either due to plasticity or matrix fiber separation.
Thus, for the matrix mode, Hashin proposed a quadratic criterion because, on the one hand, a linear criterion underestimated strength of the material and, on the other hand, a polynomial of higher degree would be too complicated to manage (Hashin 1980; Paris and Jackson 2001).
The problem was solved by direct inversion of the finite element matrix (mode Direct (UMFPACK)).
Hashin's criteria for the tensile fiber mode and tensile matrix mode are modified based on physical considerations.
In the column margin of the matrix (the mode of transport of victim's counterpart: third character of ICD-10 codes V00 V79), ICD-10 code VX3 "car, pick-up truck or van" accounted for the highest proportion (36%, 906/2516); moreover, the proportions of VX3 for victims aged 0 14, 15 24, 25 44, 45 64, and > = 65 years were 38%, 41 %, 32 %, 34 and 38%, respectively.
To attain this matrix, the mode shape orthogonality condition related to the damaged structure is expressed as: φ d T K d φ d = Λ d (13).
The simulation results confirmed that stacking sequence [0/903/02/903/0]s trends to highlight the matrix failure mode, while the stacking sequence [03/90/03/90/0/90]s trends to highlight the delamination mode.
The two-dimensional plot of the transition density matrix (CEO mode) establishes the physical connection between the electronic spectra and the electronic rearrangement due to the photon absorption.
The first one is that in JET mode and in BD-JET mode, the unitary matrix P may have a different structure, except for the same matrix dimension.
The operator × n denotes the mode-n product between tensor and matrix, where mode is considered as the order of tensor data [33].
