<DOC>
<DOCNO>
1056
</DOCNO>
<TITLE>
axisymmetric large deflections of circular plates subjected
to thermal and mechanical load .
</TITLE>
<AUTHOR>
newman,m. and forray,m.
</AUTHOR>
<BIBLIO>
proc. aerospace forum i session, s.m.f. paper ff-30, 1962, 56.
</BIBLIO>
<TEXT>
  this paper is concerned with the nonlinear axisymmetric
analysis of circular plates with in-plane
edge restraint .  both temperature and mechanical
loads are accommodated as an extension of investigations
performed for the isothermal mechanical
loading problem .  an exact mathematical formulation
within the framework of the v. karman large
strain-displacement relations is developed .  the equilibrium
equations and boundary conditions are then
derived by utilizing the calculus of variations for arbitrary
axisymmetrical temperatures and normal distributed
loading .  the satisfaction of equilibrium and
compatibility equations requires the solution of two
simultaneous nonlinear ordinary differential equations
subject to the prescribed boundary conditions .  analytical
solutions of such equations are apparently not
possible and therefore numerical procedures must be
employed .
  a finite difference procedure utilizing /relaxed
iterations,/ developed by h. keller and e. reiss, and
employed by them for the solution of isothermal problems
with apparently unlimited load parameter ranges,
is used here for combined thermo-mechanical problems .
numerical results are presented for the special case of
a simply supported circular plate with radially immovable
boundaries, subject to a uniform pressure and an
arbitrary temperature variation through the thickness
tained for a large range of temperature and load parameters
.  however, because of space limitations, only
a limited amount of data are presented in this paper .
</TEXT>
</DOC>
