Igor G Tsukanov

US Patent:

20050060130, Mar 17, 2005

Filed:

Jul 22, 2004

Appl. No.:

10/896407

Inventors:

Vadim Shapiro - Madison WI, US
Igor Tsukanov - Madison WI, US
Arpan Biswas - Sodpur, IN
Michael Freytag - Sun Prairie WI, US

International Classification:

G06F017/10

US Classification:

703002000

Abstract:

A method is described for modeling heterogeneous material properties within a geometric model of an object (e.g., within a CAD model). Material functions are defined about material features (i.e., points, surfaces, or areas on or in the model) at which material properties are known, with the material functions each defining the behavior of that feature's material property at locations away from that feature. Combination of the material functions results in a single material function which defines the material properties throughout the geometric model. The resulting material function may then be used in subsequent analyses, such as in computerized behavior analysis of the geometric model. The material function may be constructed such that it meets desired constraints, and has desired smoothness and analytical properties, for ease of use in such subsequent analyses.

US Patent:

6718291, Apr 6, 2004

Filed:

Jun 22, 2000

Appl. No.:

09/602070

Inventors:

Vadim Shapiro - Madison WI 53705
Igor G. Tsukanov - Madison WI 53705

International Classification:

G06F 1750

US Classification:

703 2, 703 5, 703 14, 716 20

Abstract:

A method and apparatus for mesh-free engineering analysis of geometric models is described. The method and apparatus, which are preferably software-based and implemented on personal computers or other programmable processing devices, represent geometric models by implicit mathematical functions. The implicit functions allow interpolation of all desired boundary conditions over the geometry without meshing, and the boundary conditions may then may be combined with a piecewise continuous model of the solution structure (i. e. , the analysis problem). By solving for elements of the solution structure (its basis or coordinate functions) which satisfy the given boundary conditions either exactly or approximately, the solution structure will define the behavior and boundary conditions (exactly or approximately) throughout the geometric model.