Guest J.K. (2015). Optimizing the layout of discrete objects in structures and materials: A projection-based topology optimization approach.Computer Methods in Applied Mechanics and Engineering 283: 330-351.
Ha S. and Guest J.K. (2014). Optimizing inclusion shapes and patterns in periodic materials using Discrete Object Projection. Structural and Multidisciplinary Optimization 50(1): 65-80.
Guest J.K. (2011). A Projection-Based Topology Optimization Approach to Distributing Discrete Features in Structures and Materials. Proceedings 9th World Congress on Structural and Multidisciplinary Optimization, Shizuoka, Japan, pp. 1-10.
This paper presents a technique for optimizing the layout of discrete features in structures and materials. Current topology optimization methodologies assume a monolithic, free form design approach. However, many engineered materials and structures are composed of discrete objects or components with fixed range of length scales. For example, material structures containing fibers or particles that may be used to enhance strength or multifunctionality of the material. Feature shape control is thus essential to ensuring topology optimized solutions are meaningful and physically realizable. Achieving such control on continuum domains is challenging as features form via the union of elements of like phase. The proposed technique is based on the Heaviside Projection Method (HPM), which uses auxiliary independent design variable fields that are projected onto element space to achieve topology. The projection uses multiple regularized Heaviside functions whose interaction is tailored such that shape and length scale are controlled intrinsically and topologies are near-discrete. The technique is demonstrated on problems governed by mechanical stiffness including the design of structures and material microstructures with enhanced elastic stiffness. The methodology potentially opens up an entirely new class of problems for continuum topology optimization, including structures and materials that gain functionality or are specifically manufactured from discrete objects, including fibers, inclusions, and fixed-shape pores.
Gaynor A.T. and Guest J.K. (2016). Topology optimization
Zhao L., Ryan S.M., Ortega J.K., Ha S., Sharp K.W., Guest
Osanov M. and Guest J.K. (2016). Topology Optimization for
Gaynor A.T, Meisel N.A., Williams C.B., and Guest J.K.
Lin S., Zhao L., Weihs T.P., Guest J.K., and Liu Z. (2015).
Liu Z., Chen W., Carstensen J.V., Ketkaew J., Mota R.M.O.,
Zhang Y., Ha S., Sharp K., Guest J.K., Weihs T.P., Hemker
Yang Y., Moen C.D., and Guest J.K.
Ryan S., Szyniszewski S., Ha S., Xiao R., Nguyen T.D., Sharp