Energy Behavior of Two Classical Benchmark Shell Problems
In the classification of shells, among the two classical families
known as membrane dominated and bending dominated, there is a third
class which is surely less known. For such family, theoretical
results about the energy norm behavior and percentage of bending
energy have been proved rather recently. Such results allow a
rigorous study of the asymptotic behavior of some "famous" shell
benchmarks (in other words, problems which are classical tests for
shell finite elements in the engineering literature). In the first
part of the talk I will therefore introduce briefly the classical
theory of shells and follow with a survey of the recent
aforementioned results. In the second part I will show the
theoretical results obtained for the classical shell benchmarks
known as "pinched roof" and "Scordelis-Lo roof", and compare them
with those obtained through numerical techniques.
