OCTOBER 19-20, 2012 - YMCA University of Science & Technology

Proceedings of the National Conference on
Trends and Advances in Mechanical Engineering,
YMCA University of Science & Technology, Faridabad, Haryana, Oct 19-20, 2012
ne, n : Number of elements, number of layers in the laminated plate
Nx,Ny,Nxy In-plane thermal buckling loads
nn
: Number of nodes per element
Ni
: Shape function of ith node
p
:
C ijkl
Reduced elastic material constants
f,{f}(e)
:
u, v, w
:
u u u , ,
1, 2,
3
σ ij , ε ij
ψ
x
, ψ
y
θ
x
, θ
y
, θ
k
ρ λ
:
:
:
Vector of unknown displacements, displacement vector of
either element
Displacements of a point on the mid plane of plate
Displacement of a point (x, y, z)
Stress vector, Strain vector
Rotations of normal to mid plane about the x and y axis
Two slopes and angle of fiber orientation w.r.t x-axis for kth
layer
x, y, z
Cartesian coordinates
ρ, λ,
var(.)
: Mass density, eigenvalue, variance
RVs : Random variables
∆T
: Difference in temperatures
α1, α2 : Thermal expansion coefficients along x and y direction
ne, n : Number of elements, number of layers in the laminated plate
Nx,Ny,Nxy
nn
:
Ni
:
p :
C ijkl :
f,{f}(e)
:
u, v, w
:
u1, u2,
u
3
ρ, λ ,
σ ij , ε ij
ψ
x
, ψ
y
θ
x
, θ
y
, θ
k
:
:
:
In-plane thermal buckling loads
Number of nodes per element
Shape function of ith node
Reduced elastic material constants
Vector of unknown displacements, displacement vector of
either element
Displacements of a point on the mid plane of plate
Displacement of a point (x, y, z)
Stress vector, Strain vector
Rotations of normal to mid plane about the x and y axis
Two slopes and angle of fiber orientation w.r.t x-axis for kth
layer
x, y, z
Cartesian coordinates
ρ, λ,
var(.)
: Mass density, eigenvalue, variance
RVs : Random variables
∆T
: Difference in temperatures
α1, α2 : Thermal expansion coefficients along x and y direction
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