Distribution of material density and other properties of heterogeneous objects can be parametrized by the Euclidean distance function from the object boundary or from special material features. For objects constructed using geometric primitives and set-theoretic operations, an approximation of the distance function can be obtained in a constructive manner by applying special compositing operati...

Due to their layer-based nature, Solid Freeform Fabrication (SFF) techniques offer the possibility of fabricating parts in which the material properties vary in three dimensions. Such a capability promises to allow engineers components and parts that are truly optimized with respect to material properties. This presentation discusses research at The University of Texas at Austin to develop a mu...

The recent advancement of solid freeform fabrication, design techniques and fundamental understanding of material properties in functionally graded materials has made it possible to design and fabricate multifunctional heterogeneous objects. In this paper, we present an integrated design and analysis approach for heterogeneous object realization, which employs a unified design and analysis mode...

The conventional CAD modeling approaches only provide geometry and topology of the object but do not contain any information with regard to the materials of the object and so can not be used for the fabrication of heterogeneous objects (HO) through rapid prototyping. A CAD modeling approach using voxelization based material model is represented for the fabrication of HO with simple object geome...

A heterogeneous object is referred to as a solid object made of different constituent materials. The object is of a finite collection of regions of a set of prescribed material classes of continuously varying material properties. These properties have a discontinuous change across the interface of the material regions. In this paper, we propose a level-set based variational approach for the des...

The use of surrogate models providesgreat advantages in working with computer-aided design and 3D modeling systems, which opens up new opportunities for designing complex systems. They also allow us to significantly rationalize the computing power automated response time low energy consumption are critical. This work is devoted creation a model approximating finite element solution problem disp...