Abstract: An additively manufactured lattice structure includes (a) a first three-dimensional lattice including a repeating interconnected array of a first lattice unit cell, (b) a second three-dimensional lattice including a repeating interconnected array of a second lattice unit cell, wherein the second lattice unit cell is different from the first lattice unit cell, and (c) a first transition segment interconnecting the first three-dimensional lattice and the second three-dimensional lattice. The first transition segment includes (i) a first three-dimensional transitional lattice including a repeating array of the first lattice unit cell and (ii) interleaved with and interconnected to the first three-dimensional transitional lattice, a second three-dimensional transitional lattice including a repeating array of the second lattice unit cell.

Abstract: A method for the production of an object by additive manufacturing includes inputting a boundary shape and desired mechanical properties for said object, subdividing said boundary shape into a plurality of adjacent work cells, providing a plurality of lattices in a database, each lattice of the database including a geometry and a mechanical property, filling a first one of said work cells with a lattice from the database, the lattice selected based on the correspondence of the mechanical properties of said lattice to said desired mechanical properties of said object, filling the remaining ones of said work cells with lattices from said database to produce a filled boundary shape, each said lattice selected based on: the correspondence of the mechanical properties of said lattice to the desired mechanical properties of the object, and the compatibility of adjacent lattices in adjacent work cells with one another.

Abstract: An additively manufactured lattice structure includes (a) a first three-dimensional lattice including a repeating interconnected array of a first lattice unit cell, (b) a second three-dimensional lattice including a repeating interconnected array of a second lattice unit cell, wherein said second lattice unit cell is different from said first lattice unit cell, and (c) a first transition segment interconnecting said first three-dimensional lattice and said second three-dimensional lattice. The first transition segment includes (i) a first three-dimensional transitional lattice including a repeating array of said first lattice unit cell and (ii) interleaved with and interconnected to said first three-dimensional transitional lattice, a second three-dimensional transitional lattice including a repeating array of said second lattice unit cell.

Abstract: An additively manufactured cushion includes an array of interconnected surface lattice unit cells. The surface lattice unit cells are comprised of a unit cell surface portion configured as a Schoen F-RD minimal surface unit cell, and the unit cell surface portion is comprised of a rigid, flexible, or elastic polymer. In some embodiments, the surface lattice unit cells have an average width of from 1 to 100 millimeters and an average volume fraction of from 5 or 10 percent to 50 or 60 percent.

Abstract: A method for the production of an object by additive manufacturing includes inputting a boundary shape and desired mechanical properties for said object, subdividing said boundary shape into work cells, providing lattices in a database, each lattice including a geometry and a mechanical property, filling a first one of said work cells with a lattice from the database, the lattice selected based on the correspondence of the mechanical properties of said lattice to said desired mechanical properties of said object, filling the remaining ones of said work cells with lattices from said database to produce a filled boundary shape, each said lattice selected based on the correspondence of the mechanical properties of said lattice to the desired mechanical properties of the object and the compatibility of adjacent lattices in adjacent work cells with one another, then performing a modification operation on the lattice of a work cell.

Abstract: An energy absorbing lattice structure having a predetermined energy absorbing load vector, may include, in combination, a first lattice substructure comprised of a first set of interconnected struts, and, interwoven with said first lattice substructure, a second lattice substructure comprised of a second set of interconnected struts.

Abstract: An additively manufactured lattice structure includes (a) a first three-dimensional lattice including a repeating interconnected array of a first lattice unit cell, (b) a second three-dimensional lattice including a repeating interconnected array of a second lattice unit cell, wherein said second lattice unit cell is different from said first lattice unit cell, and (c) a first transition segment interconnecting said first three-dimensional lattice and said second three-dimensional lattice. The first transition segment includes (i) a first three-dimensional transitional lattice including a repeating array of said first lattice unit cell and (ii) interleaved with and interconnected to said first three-dimensional transitional lattice, a second three-dimensional transitional lattice including a repeating array of said second lattice unit cell.

Abstract: A method for the production of an object by additive manufacturing includes inputting a boundary shape and desired mechanical properties for said object, subdividing said boundary shape into a plurality of adjacent work cells, providing a plurality of lattices in a database, each lattice of the database including a geometry and a mechanical property, filling a first one of said work cells with a lattice from the database, the lattice selected based on the correspondence of the mechanical properties of said lattice to said desired mechanical properties of said object, filling the remaining ones of said work cells with lattices from said database to produce a filled boundary shape, each said lattice selected based on: the correspondence of the mechanical properties of said lattice to the desired mechanical properties of the object, and the compatibility of adjacent lattices in adjacent work cells with one another.

Abstract: A method for the production of an object by additive manufacturing includes inputting a boundary shape and desired mechanical properties for said object, subdividing said boundary shape into a plurality of adjacent work cells, providing a plurality of lattices in a database, each lattice of the database including a geometry and a mechanical property, filling a first one of said work cells with a lattice from the database, the lattice selected based on the correspondence of the mechanical properties of said lattice to said desired mechanical properties of said object, filling the remaining ones of said work cells with lattices from said database to produce a filled boundary shape, each said lattice selected based on: the correspondence of the mechanical properties of said lattice to the desired mechanical properties of the object, and the compatibility of adjacent lattices in adjacent work cells with one another.

Abstract: A method for the production of an object by additive manufacturing includes inputting a boundary shape and desired mechanical properties for said object, subdividing said boundary shape into a plurality of adjacent work cells, providing a plurality of lattices in a database, each lattice of the database including a geometry and a mechanical property, filling a first one of said work cells with a lattice from the database, the lattice selected based on the correspondence of the mechanical properties of said lattice to said desired mechanical properties of said object, filling the remaining ones of said work cells with lattices from said database to produce a filled boundary shape, each said lattice selected based on: the correspondence of the mechanical properties of said lattice to the desired mechanical properties of the object, and the compatibility of adjacent lattices in adjacent work cells with one another.