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Mechanics, Boundary Layers and Function Spaces (Hardcover, 1989 ed.)
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Mechanics, Boundary Layers and Function Spaces (Hardcover, 1989 ed.)
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Concern with the class of problems investigated in this monograph
began for me as a graduate student at MIT (1958-62) when serving as
research assistant to Professor Eric Reissner who initiated me into
the subject and whose influence - whether directly or dialectically
- is probably discernable in the contours of the work. My fIrst
attempt at a systematic derivation of the equations of shell theory
was made while on a summer assistantship with Professor Norman
Levinson in 1960. Beyond gaining a sobering reali- zation of the
complexities involved, I made little progress at that time. In
1962-64 while a Temporary Member at the Courant Institute of
Mathematical Sciences (NYU) I made a fresh start, while benefIting
from my association and discus- sions with Professor Fritz John.
With the conviction that the full integration of the equations with
respect to the thickness coordinate, by means of the Legendre
repre- sentations, must lead to a clarifIcation of the position of
the two-dimensional theory in its three-dimensional context, the
necessary computations were completed during that period. Several
years passed while I became reconciled with the thought that the
material needed to be organized as a monograph. This was done
during 1969-70 while at the NASA Electronics Research Center in
Cambridge, MA.
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