Three-dimensional exact solutions for the free vibration of laminated transversely isotropic circular, annular and sectorial plates with unusual boundary conditions

2007 ◽  
Vol 78 (7) ◽  
pp. 543-558 ◽  
Author(s):  
R. Q. Xu
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Exact Solutions ◽  
Three Dimensional ◽  
Transversely Isotropic

Three-dimensional exact solutions of elastic transversely isotropic coated structures under conical contact

2019 ◽  
Vol 369 ◽  
pp. 280-310 ◽  
Author(s):  
Peng-Fei Hou ◽  
Wen-Hua Zhang ◽  
Jian-ping Tang ◽  
Jia-Yun Chen
Keyword(s):  
Exact Solutions ◽  
Three Dimensional ◽  
Transversely Isotropic

Exact solutions for free vibration of transversely isotropic piezoelectric circular plates

2000 ◽  
Vol 16 (2) ◽  
pp. 141-147 ◽  
Author(s):  
Ding Haojiang ◽  
Xu Rongqiao ◽  
Chen Weiqui
Keyword(s):  
Free Vibration ◽  
Exact Solutions ◽  
Transversely Isotropic ◽  
Circular Plates

Exact solutions of axisymmetric free vibration of transversely isotropic magnetoelectroelastic laminated circular plates

2006 ◽  
Vol 23 (2) ◽  
pp. 115-127 ◽  
Author(s):  
Jiangying Chen ◽  
Rongqiao Xu ◽  
Xusheng Huang ◽  
Haojiang Ding
Keyword(s):  
Free Vibration ◽  
Exact Solutions ◽  
Transversely Isotropic ◽  
Circular Plates

Effects of thermal and electric boundary conditions on fracture of three-dimensional thermopiezoelectric media

2017 ◽  
Vol 29 (6) ◽  
pp. 1255-1271 ◽  
Author(s):  
MingHao Zhao ◽  
Yuan Li ◽  
CuiYing Fan
Keyword(s):  
Stress Intensity ◽  
Boundary Conditions ◽  
Stress Intensity Factors ◽  
Boundary Integral Equations ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Boundary Integral ◽  
Displacement Discontinuity ◽  
Green Functions ◽  
Intensity Factors

An arbitrarily shaped planar crack under different thermal and electric boundary conditions on the crack surfaces is studied in three-dimensional transversely isotropic thermopiezoelectric media subjected to thermal–mechanical–electric coupling fields. Using Hankel transformations, Green functions are derived for unit point extended displacement discontinuities in three-dimensional transversely isotropic thermopiezoelectric media, where the extended displacement discontinuities include the conventional displacement discontinuities, electric potential discontinuity, as well as the temperature discontinuity. On the basis of these Green functions, the extended displacement discontinuity boundary integral equations for arbitrarily shaped planar cracks in the isotropic plane of three-dimensional transversely isotropic thermopiezoelectric media are established under different thermal and electric boundary conditions on the crack surfaces, namely, the thermally and electrically impermeable, permeable, and semi-permeable boundary conditions. The singularities of near-crack border fields are analyzed and the extended stress intensity factors are expressed in terms of the extended displacement discontinuities. The effect of different thermal and electric boundary conditions on the extended stress intensity factors is studied via the extended displacement discontinuity boundary element method. Subsequent numerical results of elliptical cracks subjected to combined thermal–mechanical–electric loadings are obtained.

Three-Dimensional Elastic Analysis of Transversely-Isotropic Composites

2017 ◽  
Vol 33 (6) ◽  
pp. 821-830 ◽  
Author(s):  
Yu. V. Tokovyy ◽  
C. C. Ma
Keyword(s):  
Boundary Conditions ◽  
Integral Transform ◽  
Three Dimensional ◽  
Composite Layer ◽  
Integral Boundary Conditions ◽  
Transversely Isotropic ◽  
Integral Boundary ◽  
Local Boundary ◽  
Isotropic Composite ◽  
Direct Integration Method

AbstractAn exact analytical solution to the three-dimensional elasticity problem for a transversely-isotropic composite layer is constructed by making use of the direct integration method along with the Fourier double-integral transform. The original problem is reduced to a system of governing partial-differential equations for separate stress-tensor components. The governing equations are accompanied with corresponding local and integral boundary conditions, obtained on the basis of the original local boundary conditions imposing the normal and shearing forces on the limiting planes of the layer. The numerical analysis of the obtained solution is presented for certain transversely-isotropic composite materials.

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