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How is it topology optimization different from sizing and shape optimization?

In a sizing optimization problem, the design variables are usually geometrical parameters such as length, width or thickness of the part being optimized.

The optimization process involves search of optimum values for these parameters such that design objectives and constraints are met. LS-OPT design optimization tool can be used for sizing or parameter optimization problems.
Similarly, shape optimization deals with optimizing the overall shape of the structure such that the optimum design results in a structure with uniform stress distribution eliminating the stress concentration. This feature is available in LS-TaSC starting from version 3.0.