International Journal of Meterials Sciences
  • Year: 2008
  • Volume: 3
  • Issue: 2

Analysis of Thick Skew Laminate with Elliptical Cutout Subjected to Non-Linear Temperature Distribution: Major Axis of Ellipse Horizontal

  • Author:
  • MSR Niranjan Kumar1, MMM Sarcar2, V. Bala Krishna Murthy3, K. Mohana Rao4
  • Total Page Count: 10
  • Page Number: 177 to 186

1Production Engg. Dept., V.R. Siddhartha Engg. College, Vijayawada-520 007, India.

2Mech. Engg. Dept., College of Engg., Andhra University, Visakhapatnam, India.

3Mech. Engg. Dept., P.V.P. Siddhartha Institute of Tech., Vijayawada-520 007, India.

4C. R. Reddy College of Engg., Eluru, A.P., India.

NomenclatureE1

Young's modulus of the lamina in the fibre direction

E2 = E3

Young's modulus of the lamina in the transverse direction of the fibre

G12 = G13

Shear modulus in the longitudinal plane of the fibre

G23

Shear modulus in the transverse plane of the fibre

ν12 = ν13

Poisons ratio in the longitudinal plane of the fibre

ν23

Poisons ratio in the transverse plane of the fibre

α1

Coefficient of thermal expansion in the fiber direction

α2 = α3

Coefficient of thermal expansion in the transverse direction of the fiber

EL

Exact elasticity solution

FE

Finite element solution

Normalized σ

σ/p0s2,

Normalized τ

τ/p0s,

Normalized w

100E2w/p0hs4

s

Length of the plate (l)/thickness of the plate (h)

p0

The maximum intensity of sinusoidal load

a

Length and width of the square plate

p1

Major axis of the ellipse parallel to horizontal side of the skew plate. 1/2 and 1/3 are the normalized positions along the thickness direction (Normalized z = 2z/h, z coordinate measured from middle plane of the plate and h=total thickness of the plate)

Abstract

The thermoelastic behaviour of a cross-ply laminated composite skew plate with elliptical cutout subjected to non-linearly varying temperature loading has been investigated in the present analysis. Major axis of the ellipse parallel to the horizontal sides of the skew plate has been taken for the present analysis. A finite element method which works on the basis of three-dimensional theory of elasticity is employed to evaluate the transverse deflection, in-plane stresses and interlaminar stresses. The results obtained by varying the skew angle and size of the cutout are discussed. The magnitudes of the transverse deflection and in-plane stresses for temperature loading are observed to be less at higher skew angles and for larger size of the cutout. It is observed that the values of inter-laminar stresses are observed to be minimum at lower d/l ratios (d/l = 0.1) and at lower skew angle (α = 00). The solutions of skew structures considered in the present analysis will be useful for the construction of safe and efficient structures like skew bridges and swept wings of aircraft structures.

Keywords

FEM, Skew Laminate, Cutout, Interlaminar stresses