Method of creating a component via transformation of representative volume elements
A method of forming a component includes defining a component volume discretized by a target mesh formed by a plurality of volume elements, each volume element defined, at least in part, by a shape function. The method further includes defining a parting surface within a representative volume element and discretizing the parting surface using a surface mesh that includes a plurality of surface elements and a plurality of surface nodes. The method further includes mapping the surface mesh into each volume element of the target mesh according to the quartic, or higher order, shape functions of the target mesh and forming a component based on the component surface structure produced by the mapped surface mesh.
1. A component comprising:
a plurality of modified representative volume elements positioned within a volume defined by the component, each modified representative volume element based on a base representative volume element, wherein boundary faces of each modified representative volume element are altered with respect to boundary faces of the base representative volume element to conform the modified representative volume elements to the volume of the component; and
a plurality of dividing structures, each dividing structure defined within one of the modified representative volume elements, each dividing structure having a curvature that is continuous with adjacent dividing structures of adjacent modified representative volume elements, wherein the dividing structures partition the volume of the component into two or more discrete sub volumes;
wherein portions of each of the modified representative volume elements are enclosed to form two or more discrete volumes of a heat exchanger core, each discrete volume with an input and an output that is discrete from the other discrete volumes.
2. The component of claim 1 , wherein the base representative volume element is triply periodic.
3. The component of claim 1 , wherein the base representative volume element is orientation independent.
4. The component of claim 1 , wherein the dividing structures partition the volume of the component into at least three discrete sub volumes.
5. The component of claim 1 , wherein each dividing structure of the plurality of dividing structures includes a constant thickness profile.
6. The component of claim 1 , wherein each dividing structure of the plurality of dividing structures includes a variable thickness profile.
7. The component of claim 1 , wherein the base representative volume element and the volume of the component have dissimilar shapes.
8. The component of claim 1 , wherein the dividing structure is normal to the boundary faces of the modified representative volume element at respective intersections of the dividing structure and the boundary faces.
9. A component comprising:
a plurality of modified representative volume elements positioned within a volume defined by the component, each modified representative volume element based on a base representative volume element, wherein boundary faces of each modified representative volume element are altered with respect to boundary faces of the base representative volume element to conform the modified representative volume elements to the volume of the component; and
a plurality of dividing structures, each dividing structure defined within one of the modified representative volume elements, each dividing structure having a curvature that is continuous with adjacent dividing structures of adjacent modified representative volume elements, wherein the dividing structures partition the volume of the component into two or more discrete sub volumes, and wherein the dividing structures are normal to the boundary faces of the modified representative volume element at respective intersections of the dividing structures and the boundary faces.
10. The component of claim 9 , wherein the base representative volume element is triply periodic.
11. The component of claim 9 , wherein the base representative volume element is orientation independent.
12. The component of claim 9 , wherein the dividing structures partition the volume of the component into at least three discrete sub volumes.
13. The component of claim 9 , wherein each dividing structure of the plurality of dividing structures includes a constant thickness profile.
14. The component of claim 9 , wherein each dividing structure of the plurality of dividing structures includes a variable thickness profile.
15. The component of claim 9 , wherein the base representative volume element and the volume of the component have dissimilar shapes.