A novel finite element based topology optimization scheme has been developed and implemented through the use of Abaqus user subroutines. The procedure is based on an iterative material redistribution scheme in which the desired material distribution at each iteration is imposed. A family of Beta probability density functions is utilized to provide a gradual transition from an initial unimodal material density distribution to a bimodal distribution of fully dense and essentially void regions. The efficiency and validity of the scheme is demonstrated through a number of 2-D and 3-D test cases for which the optimal topology is known from analytic optimality criteria.
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