Interior structural optimization based on the density-variable shape modeling of 3D printed objects

Physical modeling is a novel theory for 3D printing; this approach involves the use of a single material to control physical properties, such as center of mass, total mass, and moment of inertia. In this work, we present a density-variable shape modeling method to meet the required strength of 3D objects. We estimate a continuous density distribution that satisfies the detected local stress distribution of 3D objects based on cross-sectional stress analysis. We then utilize a pure mathematical 3D implicit function to generate a porous structure with a gradational interior to represent this density distribution. With our method, 3D objects with desired sound structures can be fabricated with low material consumption. In addition, the whole design process can be completed easily and interactively.