  This paper presents an algorithm for reliability-based topology optimization
of linear elastic continua under random-field material model. The modelling
random field is discretized into a small number of random variables, and then
the interested output is estimated by a stochastic response surface. A
single-loop inverse-reliability algorithm is applied to reduce computational
cost of reliability analysis. Two common benchmark problems in literature are
used for demonstration purposes. Different values of target reliability and
ranges of Young's modulus are considered to investigate their effects on
resulting optimized topologies. Lastly, Monte Carlo simulation tests the
proposed algorithm for correctness and accuracy.
