Abstract:
This thesis aims to model the crack on the pressure vessel surface so as its rupture can be
avoided. It is well known that pressure vessel finds immense applications in almost all
industries. They normally work on high pressure and extreme temperatures. Also in some
typical applications they even carry highly inflammable or hazardous substances. Due to such
applications it is important that they should not end up with rupture as it can cause serious
destructions.
Due to the presence of crack, the state of stress near the crack becomes very high, this is due
to the phenomenon of stress singularity at the crack tip which greatly reduces the strength of
the material and can lead to early failure.
In this project, the geometry of a pressure vessel is created using splines then these splines are
used as the basis for the isogeometric analysis (IGA). Initially, the stress analysis of thin
pressure vessel is carried out in the absence of crack by implementing IGA based Kirchhoff-
Love shell theory, and results are compared to analytical or standard available solutions, Next,
a through the thickness crack (because of thin shell) is assumed in the vessel either axially or
circumferentially, and a numerical analysis is performed by extended isogeometric analysis
(XIGA).
This thesis aims to explain the implementation fundamentals of XIGA based Kirchhoff-Love
thin shell theory to the domain of shell problems. The issues faced in modeling the crack are
discussed in the context
