ABSTRACT
This work is concerned with the development of an analytical formulation
and a computational procedure for the topology optimization of linear elastic
structures subjected to thermal loads.The work presented extends the material
model developed by Kikuchi and Bendsøe (1988), for topology optimization
of linear elastic structures, in order to include the effect of temperature
variation.
Considering a mechanical body as a domain in space with a high density
of material, the topology optimization consist on the determination for
every point in space weather there is material or not, through the minimization
of compliance.
The material constants (elastic constants and thermal constants) are computed
by the homogenization method. The problem is discretized using the Finite
Element Method. The final solution is obtained using an algorithm to solve
the optimality conditions which are derived analytically.
Numerical examples are presented using four and nine nodes isoparametric
elements. For each example the temperature effect is analyzed together
with the influence of the type of element in the optimal topology of the
structure.
Bendsøe M. P. e Kikuchi N. (1988) Generating Optimal
Topologies in Structural Design using a Homogenization Method, Computer
Methods in Applied Mechanics and Engineering 71 pp. 197-224 |
back to Paulo Fernandes Homepage