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

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

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

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

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 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

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.

Stress-strain condition of transversely isotropic plates with sharp-ended incisions

1981 ◽  
Vol 16 (5) ◽  
pp. 444-446
Author(s):  
L. T. Berezhnitskii ◽  
L. P. Mazurak ◽  
M. V. Delyavskii
Keyword(s):  
Transversely Isotropic ◽  
Strain Condition ◽  
Stress Strain ◽  
Isotropic Plates
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