Abstract: A computer-implemented method for designing a sheet part comprising beads. The method comprises providing a CAD model representing the part. The CAD model includes a feature tree. The feature tree has one or more CAD parameters each having an initial value. The method further comprises providing a bead optimization program specified by one or more use and/or manufacturing performance indicators. The one or more indicators comprise one or more objective function(s) and/or one or more constraints. The method further comprises modifying the initial values of the one or more CAD parameters by solving the optimization program using a gradient-based bead optimization method. The optimization method has as free variables the one or more CAD parameters. The optimization method uses sensitivities. Each sensitivity is an approximation of a respective derivative of a respective performance indicator with respect to a respective CAD parameter.

Abstract: A computer-implemented method for designing a manufacturing product. The method includes obtaining a CAD model representing the manufacturing product. The CAD model includes a feature tree. The feature tree has one or more CAD parameters each having an initial value. The method also includes obtaining an optimization program. The optimization program is specified by one or more use and/or manufacturing performance indicators. The one or more indicators having one or more objective functions and/or one or more constraints. The method further includes modifying the initial values of the one or more CAD parameters by solving the optimization program using a gradient-based optimization method. The optimization method has as free variable the one or more CAD parameters and uses sensitivities. Each sensitivity is an approximation of a respective derivative of a respective performance indicator with respect to a respective CAD parameter.

Abstract: A computer-implemented method for designing a 3D modeled object representing a transmission mechanism with a target 3D motion behavior. The method including obtaining a 3D finite element mesh and data associated to the mesh, performing a topology optimization based on the mesh and on the associated data, therefore obtaining a density field representing distribution of material quantity of the 3D modeled object. The method further includes computing a signed field based on the density field and the associated data, identifying one or more patterns of convergence and divergence in the signed field, each pattern forming a region of the signed field, and for each identified pattern, identifying a joint representative of the identified pattern and replacing a part of the density field corresponding to the respective region formed by the identified pattern by a material distribution representing the identified joint.

Abstract: A computer-implemented method for designing a modeled object representing a mechanical part formed in a material having an anisotropic behavior with respect to a physical property including obtaining a first mesh, a density field representing at least boundary of the modeled object, and an orientation tensor field representing a desired anisotropic behavior. The method further includes, for each ith principal direction of the orientation tensor field, computing an anisotropic reaction-diffusion pattern on an ith mesh, the ith mesh having higher resolution than the first mesh and being bounded by the boundary of the modeled object. The method further includes combining by Boolean operations the computed anisotropic reaction-diffusion patterns projected on a second mesh.

Abstract: A computer-implemented method for designing a 3D modeled object. The 3D modeled object represents a mechanical part formed in a material having an anisotropic behavior with respect to a physical property. The method includes obtaining a 3D finite element mesh and data associated to the 3D finite element mesh. The data associated to the 3D finite element mesh includes a plurality of forces and boundary conditions. The plurality of forces forms multiple load cases. The method further comprises optimizing an orientation field distributed on the 3D finite element mesh with respect to an objective function. The objective function rewards orientation continuity with respect to the physical property. The optimizing is based on the 3D finite element mesh and on the data associated to the 3D finite element mesh. This constitutes an improved method for designing a 3D modeled object.

Abstract: Described is a computer-implemented method of additive manufacturing of a three-dimensional part. The method includes obtaining a surface representation of a 3D part in a 3D scene, the surface representation being enclosed inside a bounding volume, discretizing the scene into voxels, forming an unsigned distance field by storing a minimal distance value to the surface representation of the part for each voxel, determining one or more voxels located outside the bounding volume, the one or more voxels located outside the bounding volume being associated with a label, propagating by flood filling the label until a stopping condition is met, which is reaching a gradient inversion of the distance field, inverting the sign of the distance value of all unlabeled voxels so as to obtain a signed distance field, computing an iso-surface of the part at iso-value zero based on the signed distance field, and additive manufacturing the part.

Abstract: The disclosure notably relates to a computer-implemented method for designing a three-dimensional (3D) finite element mesh of a 3D part that includes a lattice structure. The method includes superposing a regular tiling of cells with a solid representation of the 3D part, partitioning the cells into two groups, a first group of cells, each in contact with the solid representation, and a second group of cells, none in contact with the solid representation. The method also includes computing a Boolean union of the first group of cells and the solid representation, the Boolean union forming a volume, finite element meshing the volume of the computed Boolean union while preserving the set of faces of the first group of cells that are shared with the second group of cells, and merging the finite element meshes of the cells of the second group and the meshed volume of the computed Boolean union.

Abstract: The disclosure notably relates to a computer-implemented method for designing a three-dimensional (3D) finite element mesh of a 3D part that comprises a lattice structure. The method includes superposing a regular tiling of cells with the solid representation of a 3D part, partitioning the cells into two groups, a first group of cells, each in contact with the solid representation of the 3D part, and a second group of cells, none in contact with the solid representation. The method also includes finite element meshing a boundary of the solid representation, extracting a boundary finite element mesh of the first group of cells, computing a Boolean union of the finite element mesh and the extracted boundary finite element mesh, finite element meshing a volume of the computed Boolean union and merging the finite element meshes of meshed volume of computed Boolean union and the cells of the second group of cells.

Abstract: The disclosure notably relates to a computer-implemented method for designing a three-dimensional (3D) finite element mesh of a 3D part that comprises a lattice structure. The method includes superposing a regular tiling of cells with the solid representation of a 3D part, partitioning the cells into two groups, a first group of cells, each in contact with the solid representation of the 3D part, and a second group of cells, none in contact with the solid representation. The method also includes finite element meshing a boundary of the solid representation, extracting a boundary finite element mesh of the first group of cells, computing a Boolean union of the finite element mesh and the extracted boundary finite element mesh, finite element meshing a volume of the computed Boolean union and merging the finite element meshes of meshed volume of computed Boolean union and the cells of the second group of cells.

Abstract: The disclosure notably relates to a computer-implemented method for designing a three-dimensional (3D) finite element mesh of a 3D part that includes a lattice structure. The method includes superposing a regular tiling of cells with a solid representation of the 3D part, partitioning the cells into two groups, a first group of cells, each in contact with the solid representation, and a second group of cells, none in contact with the solid representation. The method also includes computing a Boolean union of the first group of cells and the solid representation, the Boolean union forming a volume, finite element meshing the volume of the computed Boolean union while preserving the set of faces of the first group of cells that are shared with the second group of cells, and merging the finite element meshes of the cells of the second group and the meshed volume of the computed Boolean union.

Abstract: Described is a computer-implemented method of additive manufacturing of a three-dimensional (3D) part. The method includes obtaining a surface representation of a 3D part in a 3D scene, the surface representation being enclosed inside a bounding volume; discretizing the 3D scene into voxels, forming an unsigned distance field by storing a minimal distance value to the surface representation of the 3D part for each voxel, determining one or more voxels located outside the bounding volume, the one or more voxels located outside the bounding volume being associated with a label, propagating by flood filling the label until a stopping condition is met, which is reaching a gradient inversion of the distance field, inverting the sign of the distance value of all unlabeled voxels so as to obtain a signed distance field, computing an iso-surface of the 3D part at iso-value zero based on the signed distance field, and additive manufacturing the 3D part.