On the stability of rectangular transversely isotropic plates

1966 ◽  
Vol 2 (2) ◽  
pp. 18-21
Author(s):  
A. P. Melkonyan ◽  
A. A. Khachatryan
Keyword(s):  
Transversely Isotropic ◽  
Isotropic Plates ◽  
The Stability

Shear effects of the stressed state in transversely isotropic plates. Part 1. Vortex effect

1998 ◽  
Vol 30 (1) ◽  
pp. 43-47
Author(s):  
V. G. Piskunov ◽  
A. V. Burygina ◽  
A. A. Rasskazov
Keyword(s):  
Stressed State ◽  
Transversely Isotropic ◽  
Vortex Effect ◽  
Isotropic Plates ◽  
Shear Effects

An error bound in Reissner's theory of transversely isotropic plates

1986 ◽  
Vol 37 (6) ◽  
pp. 919-923 ◽  
Author(s):  
Zenon Rychter
Keyword(s):  
Error Bound ◽  
Transversely Isotropic ◽  
Isotropic Plates ◽  
Reissner’S Theory

Benchmark solution for buckling of thick rectangular transversely isotropic plates under biaxial load

2017 ◽  
Vol 131-132 ◽  
pp. 356-367 ◽  
Author(s):  
Abdollah Moslemi ◽  
Bahram Navayi Neya ◽  
Javad Vaseghi Amiri
Keyword(s):  
Transversely Isotropic ◽  
Isotropic Plates ◽  
Biaxial Load ◽  
Benchmark Solution

Least-squares reverse time migration in TTI media using a pure qP-wave equation

Geophysics ◽  
2020 ◽  
Vol 85 (4) ◽  
pp. S199-S216
Author(s):  
Xinru Mu ◽  
Jianping Huang ◽  
Jidong Yang ◽  
Xu Guo ◽  
Yundong Guo
Keyword(s):  
Wave Equation ◽  
Least Squares ◽  
Seismic Imaging ◽  
Synthetic Data ◽  
Transversely Isotropic ◽  
Reverse Time ◽  
Reverse Time Migration ◽  
Time Migration ◽  
The Matrix ◽  
The Stability

Anisotropy is a common phenomenon in subsurface strata and should be considered in seismic imaging and inversion. Seismic imaging in a vertical transversely isotropic (VTI) medium does not take into account the effects of the tilt angles, which can lead to degraded migrated images in areas with strong anisotropy. To correct such waveform distortion, reduce related image artifacts, and improve migration resolution, a tilted transversely isotropic (TTI) least-squares reverse time migration (LSRTM) method is presented. In the LSRTM, a pure qP-wave equation is used and solved with the finite-difference method. We have analyzed the stability condition for the pure qP-wave equation using the matrix method, which is used to ensure the stability of wave propagation in the TTI medium. Based on this wave equation, we derive a corresponding demigration (Born modeling) and adjoint migration operators to implement TTI LSRTM. Numerical tests on the synthetic data show the advantages of TTI LSRTM over VTI RTM and VTI LSRTM when the recorded data contain strong effects caused by large tilt angles. Our numerical experiments illustrate that the sensitivity of the adopted TTI LSRTM to the migration velocity errors is much higher than that to the anisotropic parameters (including epsilon, delta, and tilted angle parameters), and its sensitivity to the epsilon model and tilt angle is higher than that to the delta model.

Asymptotics of wave motion in transversely isotropic plates

2004 ◽  
Vol 274 (3-5) ◽  
pp. 747-759 ◽  
Author(s):  
J.N. Sharma ◽  
Rajneesh Kumar
Keyword(s):  
Wave Motion ◽  
Transversely Isotropic ◽  
Isotropic Plates

Shear effects of the stressed state in transversely isotropic plates. Part 2. Potential effect

1998 ◽  
Vol 30 (1) ◽  
pp. 48-54
Author(s):  
V. G. Piskunov ◽  
A. V. Burygina ◽  
A. A. Rasskazov
Keyword(s):  
Stressed State ◽  
Transversely Isotropic ◽  
Potential Effect ◽  
Isotropic Plates ◽  
Shear Effects

Influence of the orientation of the isotropy axis on the stability of transversely isotropic semibounded laminates

2006 ◽  
Vol 42 (10) ◽  
pp. 1120-1128 ◽  
Author(s):  
V. S. Stukotilov ◽  
V. N. Chekhov
Keyword(s):  
Transversely Isotropic ◽  
The Stability

Cumulative Second Harmonics in a Nonlinear Transversely Isotropic Plate

2015 ◽  
Author(s):  
Jinling Zhao ◽  
Vamshi K. Chillara ◽  
Hwanjeong Cho ◽  
Jinhao Qiu ◽  
Cliff J. Lissenden
Keyword(s):  
Isotropic Plate ◽  
Second Harmonic ◽  
Strain Tensor ◽  
Strain Energy Function ◽  
Transversely Isotropic ◽  
Guided Wave ◽  
Power Flux ◽  
Weakly Nonlinear ◽  
Isotropic Plates ◽  
Transversely Isotropic Plate

The problem of second harmonic guided wave generation in transversely isotropic plates is investigated from a theoretical and numerical standpoint. The strain energy function of transversely isotropic materials is written down using five invariants in terms of the Green-Lagrange strain tensor and contains five linear terms and nine nonlinear terms. Theoretical investigations reveal that second harmonics in a weakly nonlinear transversely isotropic plate are cumulative only when the phase matching and nonzero power flux criteria are satisfied. Also, only cumulative secondary symmetric Lamb wave modes can be generated — a conclusion in line with what is observed for isotropic plates. Finally, numerical simulations are carried out to examine the cumulative second harmonic generation from the S0 mode and the results obtained are discussed in the light of the theory.

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