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Numerical Challenges occurs in SIMP based Topology Optimization

A) Checkerboard Pattern: a) Checkerboarding refers to the formation of alternate solid and void elements in the final topologically optimized structure and possesses artificial high stiffness to the numerical model. b) This issue is primarily due to the discretization error of the numerical FE model. c) It occurs mainly in those models which have been […]

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Mesh refinement in Topology Optimization

Mesh refinement or discretization is a fundamental step in finite element analysis. In finite element analysis, the refinement of mesh is done only in those areas that are of interest (eg: the region of high stress in the stress analysis) so that to obtain good accuracy with minimum computational efforts. However, in the context of […]

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Size, Shape and Topology Optimization

Structural optimization is determining the best possible material distribution within a physical volume domain to transmit the applied load safely. To achieve this, the constraints imposed by the manufacturer and eventual use must also be considered. These may include increasing stiffness (increasing strain energy or minimizing compliance), minimizing stress levels, minimizing displacement, altering the fundamental […]

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Different Topology optimization solvers used in Ansys

In Ansys commercial FE package, two topology optimization solvers are present based on the SIMP (Solid isotropic material with penalization) method. These solvers include Optimality Criteria (OC) and Sequential Convex Programming (SCP). Sequential Convex Programming: This method is an extension of the Method of Moving Asymptotes (MMA) solver. The MMA solver is a non-linear programming-based […]

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Effects of volume fraction and filter radius

This blog post explains the significance of the volume fraction and filter radius in the Topology optimization (TO). Volume fraction (volfrac) Volume fraction is the fraction of the original volume that the geometry of the optimized structure will have. Since, weight reduction is the major goal and density of the material remains constant therefore volume […]

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