Nondestructive testing of defects in adhesive joints
Nondestructive testing of defects in adhesive joints
Nondestructive testing of defects in adhesive joints
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Stress analysis <strong>of</strong> air borne polymeric composite structure<br />
Shiv Kumar, K. Shajahan, Lijo Vijayan, Reji John, R. R. Varma and M. Arav<strong>in</strong>dakshan<br />
Naval Physical & Oceanographic Laboratory,<br />
Defence Research and Development Organisation, Kochi – 682 021<br />
Email: tsonpol@vsnl.com<br />
Abstract<br />
Composite structures are extensively used <strong>in</strong> air borne applications <strong>in</strong> civilian and military field ow<strong>in</strong>g to <strong>in</strong>herent<br />
advantages <strong>of</strong> high strength to weight ratio, ability to withstand high loads, slow failure rates, tailorability <strong>of</strong><br />
mechanical and chemical properties and better directional properties. The most common types <strong>of</strong> composites<br />
employed <strong>in</strong> air borne applications are carbon fibre re<strong>in</strong>forced epoxy and Glass Fibre re<strong>in</strong>forced epoxy. One <strong>of</strong> the<br />
FRP structures developed for airborne application is <strong>in</strong> the shape <strong>of</strong> ‘C’ with various geometrical discont<strong>in</strong>uities for<br />
weight reduction and mount<strong>in</strong>g <strong>of</strong> sensors and h<strong>in</strong>ges for <strong>in</strong>tegrat<strong>in</strong>g to ma<strong>in</strong> assembly. Presence <strong>of</strong> such deviations<br />
from regular geometries leads to build up <strong>of</strong> stress concentrations at such irregularities, which could be fatal and<br />
lead to catastrophic failures. In order to understand the actual stress distribution, predict and prevent any failure <strong>of</strong><br />
the structure proper theoretical analysis is required<br />
A f<strong>in</strong>ite element analysis s<strong>of</strong>tware ANSYS was used to evaluate the stress response <strong>of</strong> the composite structure. As<br />
the structure is <strong>in</strong>tended to operate underwater, analysis was carried out to simulate the effect <strong>of</strong> hydrostatic<br />
pressure loads. Airworth<strong>in</strong>ess requirements also demands that the structure to withstand high <strong>in</strong>ertial acceleration<br />
loads com<strong>in</strong>g on the system dur<strong>in</strong>g various manoeuvr<strong>in</strong>g. Analysis was also carried out to ensure that the structure<br />
is capable <strong>of</strong> withstand<strong>in</strong>g these <strong>in</strong>ertial acceleration loads. The structure is mounted with sensor elements and the<br />
effect <strong>of</strong> these sensor elements were modelled us<strong>in</strong>g lumped masses method. 10-node tetrahedral structural element<br />
was used to mesh the structure. As the structure is fabricated with fibre re<strong>in</strong>force plastics hav<strong>in</strong>g orthotropic<br />
properties, properties such as elastic modulus, shear modulus and Poison's ratio were considered for all the three<br />
directions for the analysis. The analysis was carried out for 30% glass filled polycarbonate, Glass fibre re<strong>in</strong>forced<br />
epoxy composites and Carbon fibre re<strong>in</strong>forced epoxy composites. The Von-Mises stress distribution obta<strong>in</strong>ed<br />
showed the maximum stress near the top h<strong>in</strong>ges and the correspond<strong>in</strong>g displacement distribution showed maximum<br />
displacements at the top <strong>of</strong> the structure.<br />
Introduction<br />
Many <strong>of</strong> the modern technological developments that have taken place <strong>in</strong> last few decades are due to new materials<br />
and new materials process<strong>in</strong>g techniques. Among these materials which has come to stay, composites occupies an<br />
important place <strong>in</strong> various fields such as aerospace, defence, sports, automobile, etc. Composite structures are<br />
extensively used <strong>in</strong> air borne applications <strong>in</strong> civilian and military field ow<strong>in</strong>g to <strong>in</strong>herent advantages <strong>of</strong> high<br />
strength to weight ratio, ability to withstand high loads, slow failure rates, tailorability <strong>of</strong> mechanical and chemical<br />
properties and better directional properties.<br />
A necessary prerequisite for the design and safe operation <strong>of</strong> composite structure is an accurate knowledge <strong>of</strong> their<br />
strength and stiffness properties. An assessment <strong>of</strong> these properties solely by <strong>test<strong>in</strong>g</strong> <strong>of</strong> critical components or <strong>of</strong><br />
prototype structure is feasible but is usually encumbered by punitive cost and time requirements. Therefore,<br />
analytical methods must be employed with aim <strong>of</strong> facilitat<strong>in</strong>g trade-<strong>of</strong>f studies <strong>in</strong> early design phases, provid<strong>in</strong>g<br />
<strong>in</strong>sight <strong>in</strong>to the overall structure and identify<strong>in</strong>g critical parts <strong>of</strong> the composite structures. [1]<br />
Application <strong>of</strong> analytical methods on simple structures is feasible however, it becomes practically impossible to<br />
apply analytical solutions on complex shapes. Excessive approximations to implement analytical solutions may<br />
lead to erroneous results. Hence, it is essential to utilize other means <strong>of</strong> analysis <strong>of</strong> the structures. Various FEM<br />
tools are available to model such complex structures, however none <strong>of</strong> them specializes <strong>in</strong> FEM analysis <strong>of</strong><br />
composite structures. Various structural analysis FEM packages however have capability to analyse complex shapes<br />
<strong>of</strong> orthotropic materials. One such s<strong>of</strong>tware Ansys is used <strong>in</strong> analysis <strong>of</strong> current problem.<br />
Due to <strong>in</strong>herent advantage <strong>of</strong> high strength to weight ratio and tailorable directional properties <strong>of</strong> composites, it<br />
f<strong>in</strong>ds extensive application <strong>in</strong> air borne systems. One such structure be<strong>in</strong>g developed is a 'C' channel shaped<br />
structure for hous<strong>in</strong>g <strong>of</strong> sensors. The structure has various grooves for mount<strong>in</strong>g the sensors, discont<strong>in</strong>uities for<br />
weight reduction <strong>of</strong> overall structure and h<strong>in</strong>ge holes for assembl<strong>in</strong>g with the ma<strong>in</strong> system. The details <strong>of</strong> such a 'C'<br />
channel structure is shown <strong>in</strong> figure 1.