Welcome to the Topology Optimization Group at Johns Hopkins University!

We are a group of talented and motivated individuals pushing the frontiers of Topology Optimization...

Topology Optimization with Embedded Stress-Dependent Reinforcement

Yang Y., Moen C.D., and Guest J.K. (2015). Three-dimensional force flow paths and reinforcement design in concrete via stress-dependent truss-continuum topology optimization. ASCE Journal of Engineering Mechanics 141(1) 04014106.

Gaynor A.T., Guest J.K., and Moen C.D. (2013). Reinforced concrete force visualization and design using bilinear truss-continuum topology optimization. ASCE Journal of Structural Engineering 139(4): 607-618.


A new force visualization and design tool employing hybrid topology optimization is introduced for RC and prestressed concrete structural members. The optimization scheme couples a minimum compliance (maximum stiffness) objective function with a hybrid truss-continuum ground structure that can generate a strut-and-tie model for any general concrete member, loading, and set of boundary conditions. The truss ground structure represents discrete steel reinforcing bars (tensile load paths) that can be sized based on axial forces output directly by the optimization routine, whereas the continuum elements simulate concrete compression struts. This separation of compressive and tensile load-carrying elements is achieved through bilinear elastic models with an orthotropic constitutive relationship for the continuum. Examples are provided demonstrating the potential value of the optimization tool to RC design. Reinforcing layouts that can minimize cracking and reduce steel quantities when compared with traditional designs are provided for a prismatic beam, a hammerhead pier, a stepped beam with a cutout, and the local anchorage zone of a prestressed concrete block. A minimum length scale constraint is employed to control complexity of the strut-and-tie topology, accommodating design solutions that balance material savings, structural performance, and constructability.

Gaynor A.T. and Guest J.K. (2016). Topology optimization

Zhao L., Ryan S.M., Ortega J.K., Ha S., Sharp K.W., Guest

Guest J.K. (2015). Optimizing the layout of discrete

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

Ryan S., Szyniszewski S., Ha S., Xiao R., Nguyen T.D., Sharp