Abstract: Methods, systems, and apparatus, including medium-encoded computer program products include: obtaining a design space for a modeled object, for which a corresponding physical structure is to be manufactured, and one or more design criteria for the modeled object; iteratively modifying a first three-dimensional shape of the modeled object in the design space in accordance with the one or more design criteria, the iteratively modifying includes forming a second three-dimensional shape of the modeled object based on the first three-dimensional shape of the modeled object, where the second three-dimensional shape conforms to a predefined shape-type requirement, and penalizing modifications of the first three-dimensional shape that deviate from the second three-dimensional shape; and providing the first or second three dimensional shape of the modeled object for use in manufacturing the physical structure using one or more computer-controlled manufacturing systems.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes, where three dimensional (3D) models of the physical structures can be produced to include lattices, hollows, holes, and combinations thereof, include: obtaining design criteria for an object; iteratively modifying 3D topology and shape(s) for the object using generative design process(es) that employ a macrostructure representation, e.g., using level-set method(s), in combination with physical simulation(s) that place void(s) in solid region(s) or solid(s) in void region(s) of the generative model of the object; and providing a 3D model of the generative design for the object for use in manufacturing a physical structure corresponding to the object using one or more computer-controlled manufacturing systems.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes. A method includes obtaining one or more load cases and one or more design criteria for a modeled object, the one or more design criteria comprising a build material strength model indicating strength relationships between thickness of an object feature and build angle for that object feature resulting from additive manufacturing; iteratively modifying a three dimensional shape of the modeled object in accordance with the one or more design criteria and the one or more load cases, including applying the strength relationships between the thickness of the object feature and the build angle for that object feature on a per-element basis during numerical simulation of the modeled object; and providing the three dimensional shape of the modeled object for use in manufacturing a physical structure.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design with feature thickness control, include: a three-dimensional modeling program configured to provide voxelized thinning based distance to medial surface processing that measures thicknesses in a three-dimensional model, and/or ramped scaling based thickness constraint application during shape and/or topology generation. The three-dimensional modeling program can be an architecture, engineering and/or construction program (e.g., building information management program), a product design and/or manufacturing program (e.g., a CAM program), and/or a media and/or entertainment production program (e.g., an animation production program).

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes. A method includes performing numerical simulation of a modeled object in accordance with a current version of the three dimensional shape and the one or more in-use load cases; finding a maximized stress or strain element, for each in-use load cases; determining an expected number of loading cycles for each of the one or more in-use load cases for the physical structure using the maximized stress or strain element and data relating fatigue strength to loading cycles; redefining a fatigue safety factor inequality constraint for the modeled object; computing shape change velocities for an implicit surface in a level-set representation of the three dimensional shape in accordance with at least the fatigue safety factor inequality constraint; and updating the level-set representation using the shape change velocities.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using techniques that facilitate manufacturing, include: modifying a three dimensional shape, for which a corresponding physical structure is to be created using a manufacturing process, to produce a modified three dimensional shape; and providing the modified shape of the modeled object for use in manufacturing the physical structure using one or more computer-controlled manufacturing systems that employ the manufacturing process.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes, A method includes obtaining, by a computer aided design program, a design space for a modeled object, one or more design criteria for the modeled object, one or more in-use load cases, and a critical fatigue crack length for a material from which A physical structure will be manufactured; iteratively modifying a generatively designed three dimensional shape of the modeled object in the design space in accordance with the critical fatigue crack length for the material, wherein the iteratively modifying comprises enforcing a design criterion that limits a minimum thickness of the generatively designed three dimensional shape, the minimum thickness being based on the critical fatigue crack length for the material.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using data format conversion (e.g., of output(s) from generative design processes) and user interface techniques that facilitate the production of 3D models of physical structures that are readily usable with 2.5-axis subtractive manufacturing, include: modifying smooth curves, which have been fit to contours representing discrete height layers of an object, to facilitate the 2.5-axis subtractive manufacturing; preparing an editable model of the object using a parametric feature history, which includes a sketch feature, to combine extruded versions of the smooth curves to form a 3D model of the object in a boundary representation format; reshaping a subset of the smooth curves responsive to user input with respect to the sketch feature; and replaying the parametric feature history to reconstruct the 3D model of the object, as changed by the user input.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using data format conversion (e.g., of output(s) from generative design processes) and user interface techniques that facilitate the production of 3D models of physical structures that are readily usable with 2.5-axis subtractive manufacturing, include: modifying smooth curves, which have been fit to contours representing discrete height layers of an object, to facilitate the 2.5-axis subtractive manufacturing; preparing an editable model of the object using a parametric feature history, which includes a sketch feature, to combine extruded versions of the smooth curves to form a 3D model of the object in a boundary representation format; reshaping a subset of the smooth curves responsive to user input with respect to the sketch feature; and replaying the parametric feature history to reconstruct the 3D model of the object, as changed by the user input.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes. A method includes obtaining a design space for a modeled object, one or more design criteria, one or more in-use load cases, and one or more specifications of material, wherein the design criteria comprise a required number of loading cycles for the modeled object; iteratively modifying a generatively designed three dimensional shape of the modeled object, comprising: performing numerical simulation of the modeled object, finding a maximized stress or strain element for each of the one or more in-use load cases, determining an expected number of loading cycles for each of the one or more in-use load cases, redefining a fatigue safety factor inequality constraint for the modeled object, computing shape change velocities in accordance with at least the fatigue safety factor inequality constraint, and updating the level-set representation.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes. A method includes obtaining a design space for a modeled object, one or more design criteria, one or more in-use load cases, and one or more specifications of material, wherein the design criteria comprise a required number of loading cycles for the modeled object; iteratively modifying a generatively designed three dimensional shape of the modeled object, comprising: performing numerical simulation of the modeled object, finding a maximized stress or strain element for each of the one or more in-use load cases, determining an expected number of loading cycles for each of the one or more in-use load cases, redefining a fatigue safety factor inequality constraint for the modeled object, computing shape change velocities in accordance with at least the fatigue safety factor inequality constraint, and updating the level-set representation.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes. A method includes obtaining a design space for a modeled object, one or more design criteria, one or more in-use load cases, and one or more specifications of material, wherein the design criteria comprise a required number of loading cycles for the modeled object; iteratively modifying a generatively designed three dimensional shape of the modeled object, comprising: performing numerical simulation of the modeled object, finding a maximized stress or strain element for each of the one or more in-use load cases, determining an expected number of loading cycles for each of the one or more in-use load cases, redefining a fatigue safety factor inequality constraint for the modeled object, computing shape change velocities in accordance with at least the fatigue safety factor inequality constraint, and updating the level-set representation.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes. A method includes performing numerical simulation of a modeled object in accordance with a current version of the three dimensional shape and the one or more in-use load cases; finding a maximized stress or strain element, for each in-use load cases; determining an expected number of loading cycles for each of the one or more in-use load cases for the physical structure using the maximized stress or strain element and data relating fatigue strength to loading cycles; redefining a fatigue safety factor inequality constraint for the modeled object; computing shape change velocities for an implicit surface in a level-set representation of the three dimensional shape in accordance with at least the fatigue safety factor inequality constraint; and updating the level-set representation using the shape change velocities.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes, where three dimensional (3D) models of the physical structures can be produced to include lattices, hollows, holes, and combinations thereof, include: obtaining design criteria for an object; iteratively modifying 3D topology and shape(s) for the object using generative design process(es) that employ a macrostructure representation, e.g., using level-set method(s), in combination with physical simulation(s) that place void(s) in solid region(s) or solid(s) in void region(s) of the generative model of the object; and providing a 3D model of the generative design for the object for use in manufacturing a physical structure corresponding to the object using one or more computer-controlled manufacturing systems.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, facilitate creation and use of 3D models of objects with different material properties. In one aspect, a method includes specifying a continuous data format representation for a first property of an object and a discretized data format representation for a second property of the object, wherein the first property and the second property are different from each other; producing a 3D model of the object within a 3D space using the continuous and discretized data format representations, which overlap with each other in all three dimensions in at least a portion of the 3D space; and using at least one common access method into the 3D model of the object to obtain data from both the continuous and discretized data format representations, within the portion of the 3D space, to manufacture the object using one or more manufacturing processes.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes, where three dimensional (3D) models of the physical structures are produced to include lattices and hollows, include: obtaining design criteria for an object; iteratively modifying 3D topology and shape(s) for the object using a generative design process that represents the 3D topology as one or more boundaries between solid(s) and void(s), in combination with physical simulation(s) with a hollow structure and a lattice representation; adjusting a thickness of the hollow structure; adjusting lattice thickness or density; and providing a 3D model of the generative design for the object for use in manufacturing a physical structure corresponding to the object using one or more computer-controlled manufacturing systems.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using data format conversion (e.g., of output(s) from generative design processes) and user interface techniques that facilitate the production of 3D models of physical structures that are readily usable with 2.5-axis subtractive manufacturing, include: modifying smooth curves, which have been fit to contours representing discrete height layers of an object, to facilitate the 2.5-axis subtractive manufacturing; preparing an editable model of the object using a parametric feature history, which includes a sketch feature, to combine extruded versions of the smooth curves to form a 3D model of the object in a boundary representation format; reshaping a subset of the smooth curves responsive to user input with respect to the sketch feature; and replaying the parametric feature history to reconstruct the 3D model of the object, as changed by the user input.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using generative design processes, where three dimensional (3D) models of the physical structures are produced to include lattices and hollows, include: obtaining design criteria for an object; iteratively modifying 3D topology and shape(s) for the object using a generative design process that represents the 3D topology as one or more boundaries between solid(s) and void(s), in combination with physical simulation(s) with a hollow structure and a lattice representation; adjusting a thickness of the hollow structure; adjusting lattice thickness or density; and providing a 3D model of the generative design for the object for use in manufacturing a physical structure corresponding to the object using one or more computer-controlled manufacturing systems.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, facilitate creation and use of 3D models of objects with different material properties. In one aspect, a method includes specifying a continuous data format representation for a first property of an object and a discretized data format representation for a second property of the object, wherein the first property and the second property are different from each other; producing a 3D model of the object within a 3D space using the continuous and discretized data format representations, which overlap with each other in all three dimensions in at least a portion of the 3D space; and using at least one common access method into the 3D model of the object to obtain data from both the continuous and discretized data format representations, within the portion of the 3D space, to manufacture the object using one or more manufacturing processes.