Techreport,
On the Analysis of Shell Structures Subjected to a Blast Environment: A Finite Element Approach. Part 1.
UTIAS Report No. 302. Institute for Aerospace Studies, The University of Toronto, (Feb 28, 1986)
Abstract
The development of a finite element technique designed specifically for
the analysis of blast loaded (chemical explosions) or combined
blast and thermally loaded (nuclear explosions) circular cylinders is
outlined. Following a brief introduction the formulation of the stiffness
matrix is presented which includes discussions of the material and geometric
nonlinearities included in the finite element model. The consistent force
vector calculation is illustrated in the next chapter including techniques
used to deal with thermal loading and blast wave loading. Subsequently
examples and results are presented which verify the accuracy and versatility
of the static formulation of the problem. To lead into the dynamic analysis
the consistent mass matrix development is presented along with that for a
companion diagonal mass matrix which exhibits dynamically correct behaviour.
The requirements of temporal integration schemes are investigated and the
necessary and sufficient conditions for a linear single step integration
method to be stable when operating on a system of motion equations in which
the damping matrix is nonproportional are presented. Finally, examples of
dynamic analyses, including a cylinder loaded by a nuclear burst, using the
methods outlined herein are presented.
Tags
- 65l06-multistep-runge-kutta-and-extrapolation-methods
- 74b20-nonlinear-elasticity
- 74c15-plastic-materials-large-strain-rate-independent-theories
- 74h15-solid-dynamics-numerical-approximation-of-solutions
- 74k20-plates
- 74k25-shells
- 74s05-finite-element-methods-for-solid-mechanics
- newmark
