Armstrong he developed the Armstrong-Frederick plasticity models, which are applied in the theory of inelastic deformations.
In the early 60's, he investigated stress phenomena in nuclear fuel elements for the UK Atomic Energy Authority.
In 2006, patent-spotters rediscovered a patent attributed in 1973 to the British Railways Board on a nuclear driven space vehicle, dubbed the British Rail flying saucer.
The patent was based on work performed by Frederick, which originally was directed towards a lifting platform and finally culminated in a nuclear fusion powered passenger craft for interplanetary travel.
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