

Microstructural topology optimization (MTO) is the simultaneous optimization of macroscale topology and microscale structure. Furthermore, with the advent of additive manufacturing, the MTO structures can be fabricated with relative ease. Challenges associated with MTO are: (1) high computational cost, and (2) potential loss of microstructural connectivity. In this paper, these challenges are addressed by incorporating microstructure clusters, their rotation, and an auxiliary field.

Additive manufacturing (AM) has enabled the fabrication of artifacts with unprecedented geometric and material complexity. The focus of this paper is on the build the optimization of short fiber reinforced polymers (SFRP) AM components. Specifically, we consider optimization of the build direction, topology, and fiber orientation of SFRP components. All three factors have a significant impact on the functional performance of the printed part.

In topology optimization, the bisection method is typically used for computing the Lagrange multiplier associated with a constraint. While this method is simple to implement, it leads to oscillations in the objective and could possibly result in constraint failure if proper scaling is not applied. In this paper, we revisit an alternate and direct method to overcome these limitations.

Microstructural topology optimization (MTO) is the simultaneous optimization of macroscale topology and microscale structure. Furthermore, with the advent of additive manufacturing, the MTO structures can be fabricated with relative ease. Challenges associated with MTO are: (1) high computational cost, and (2) potential loss of microstructural connectivity. In this paper, these challenges are addressed by incorporating microstructure clusters, their rotation, and an auxiliary field.
2020
Journal Publications
Kumar, T., Sridhara, S., Prabhune, B.C., & Suresh, K. (2020). Spectral Decomposition for Graded-Microstructure Topology Optimization (in preparation)
Subedi, S., Kumar, T., Thoma, D., & Suresh, K. (2020). Truss-based Surface Support Structure for Additive Manufacturing (in preparation)
Kumar, T., & Suresh, K. (2020). Multiple lattice topology optimization using a multi-material approach (in preparation)
Kumar, T., & Suresh, K."Direct Lagrange Multiplier Updates in Topology Optimization Revisited", Struct Multidisc Optim, Aug 2020. (Accepted)
Kumar, T., & Suresh, K. A density-and-strain-based K-clustering approach to microstructural topology optimization. Struct Multidisc Optim 61, 1399–1415 (2020).
https://doi.org/10.1007/s00158-019-02422-4
Chandrasekhar, A., Kumar, T. & Suresh, K. Build optimization of fiber-reinforced additively manufactured components. Struct Multidisc Optim 61, 77–90 (2020). https://doi.org/10.1007/s00158-019-02346-z
Book Chapters
Kumar, T., Subedi, S., & Suresh, K. (2020). Modern Design for Manufacturing. Encyclopedia of Materials: Metals and Alloys (Invited)
2019
Conference Presentations
Clustered Multiscale Topology Optimization. 15th US National Congress on Computational Mechanics. Austin, TX, USA (July 2019)
Parameterized Mapped Microstructure for Multiscale Topology Optimization. Topology Optimization Roundtable 2019. Albuquerque, NM, USA (March 2019)
Poster Presentations
A high-resolution design approach by microstructure mapping in multiscale topology optimization. Topology Optimization Roundtable 2019. Albuquerque, NM, USA. (March 2019)
Density-and-strain based clustering for multiscale topology optimization. Additive Manufacturing Workshop, UW-Madison. Madison, WI, USA. (January 2019)
2018
Conference Presentations
Multiscale Topology Optimization: Opportunities and Challenges. Midwest Mechanics Seminar Series. Madison, WI, USA (December 2018)
A Density+Strain Cluster Chart for Microstructural Topology Optimization. MidMechMat 2018: 4th annual workshop on Mechanics of Materials and Structures. Chicago, IL, USA (August 2018)
A Cluster-based Microstructural Topology Optimization. 13th World Congress on Computational Mechanics, New York City, NY, USA (July 2018)
Design and Distribution of Optimal Microstructures. TMS 2018: 147th Annual Meeting & Exhibition, Phoenix, AZ, USA (March 2018)
Towards Optimal Microstructures in Structural Design. Topology Optimization Roundtable 2018. Washington, DC, USA (March 2018)