Stress‐Aligned Hexahedral Lattice Structures

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dc.contributor.authorBukenberger, D. R.en_US
dc.contributor.authorWang, J.en_US
dc.contributor.authorWu, J.en_US
dc.contributor.authorWestermann, R.en_US
dc.date.accessioned2025-03-07T16:48:34Z
dc.date.available2025-03-07T16:48:34Z
dc.date.issued2024
dc.description.abstractMaintaining the maximum stiffness of components with as little material as possible is an overarching objective in computational design and engineering. It is well‐established that in stiffness‐optimal designs, material is aligned with orthogonal principal stress directions. In the limit of material volume, this alignment forms micro‐structures resembling quads or hexahedra. Achieving a globally consistent layout of such orthogonal micro‐structures presents a significant challenge, particularly in three‐dimensional settings. In this paper, we propose a novel geometric algorithm for compiling stress‐aligned hexahedral lattice structures. Our method involves deforming an input mesh under load to align the resulting stress field along an orthogonal basis. The deformed object is filled with a hexahedral grid, and the deformation is reverted to recover the original shape. The resulting stress‐aligned mesh is used as basis for a final hollowing procedure, generating a volume‐reduced stiff infill composed of hexahedral micro‐structures. We perform quantitative comparisons with structural optimization and hexahedral meshing approaches and demonstrate the superior mechanical performance of our designs with finite element simulation experiments.en_US
dc.description.number1
dc.description.sectionheadersOriginal Article
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume44
dc.identifier.doi10.1111/cgf.15265
dc.identifier.issn1467-8659
dc.identifier.pages15
dc.identifier.urihttps://doi.org/10.1111/cgf.15265
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf15265
dc.publisherEurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd.en_US
dc.rightsAttribution-NonCommercial 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.subjectmodelling
dc.subjectmesh generation
dc.subjectcomputational geometry
dc.subjectgeometric modelling
dc.subject• Computing methodologies → Shape analysis; Volumetric models; Mesh geometry models
dc.titleStress‐Aligned Hexahedral Lattice Structuresen_US
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