Material-minimizing forms and structures

Kilian, Martin; Pellis, Davide; Wallner, Johannes; Pottmann, Helmut

doi:10.1145/3130800.3130827

Cited by 31 publications

(21 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…which is exactly the characterization of volume-optimal continuous 2D trusses discussed in [28,47]. A similar equivalence can be obtained for asymmetric strengths.…”

Section: Strength Criterion For Asymmetric Materialssupporting

confidence: 70%

Topology optimization of load-bearing capacity

Mourad

Bleyer

Mesnil

et al. 2021

Struct Multidisc Optim

View full text Add to dashboard Cite

The present work addresses the problem of maximizing a structure load-bearing capacity subject to given material strength properties and a material volume constraint. This problem can be viewed as an extension to limit analysis problems which consist in finding the maximum load capacity for a fixed geometry. We show that it is also closely linked to the problem of minimizing the total volume under the constraint of carrying a fixed loading. Formulating these topology optimization problems using a continuous field representing a fictitious material density yields convex optimization problems which can be solved efficiently using stateof-the-art solvers used for limit analysis problems. We further analyze these problems by discussing the choice of the material strength criterion, especially when considering materials with asymmetric tensile/compressive strengths. In particular, we advocate the use of a L 1 -Rankine criterion which tends to promote uniaxial stress fields as in truss-like structures. We show that the considered problem is equivalent to a constrained Michell truss problem. Finally, following the idea of the SIMP method, the obtained continuous topology is post-processed by an iterative procedure penalizing intermediate densities. Benchmark examples are first considered to illustrate the method overall efficiency while

show abstract

“…which is exactly the characterization of volume-optimal continuous 2D trusses discussed in [28,47]. A similar equivalence can be obtained for asymmetric strengths.…”

Section: Strength Criterion For Asymmetric Materialssupporting

confidence: 70%

Topology optimization of load-bearing capacity

Mourad

Bleyer

Mesnil

et al. 2021

Struct Multidisc Optim

View full text Add to dashboard Cite

show abstract

“…This principle has been applied to 2D planes (e.g. [17]) and curved surfaces [18], [19], [20]. The appealing 2D results are achieved by tracing stress directions or based on a ground structure approach [21], [22].…”

Section: Structural Optimization For 3d Printingmentioning

confidence: 99%

Design and Optimization of Conforming Lattice Structures

Wang

Gao

2021

IEEE Trans. Visual. Comput. Graphics

129

View full text Add to dashboard Cite

Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the principal stress directions and the boundary of the optimized shape. Our method consists of two major steps: the first optimizes concurrently the shape (including its topology) and the distribution of orthotropic lattice materials inside the shape to maximize stiffness under applicationspecific external loads; the second takes the optimized configuration (i.e. locally-defined orientation, porosity, and anisotropy) of lattice materials from the previous step, and extracts a globally consistent lattice structure by field-aligned parameterization. Our approach is robust and works for both 2D planar and 3D volumetric domains. Numerical results and physical verifications demonstrate remarkable structural properties of conforming lattice structures generated by our method. His research is focused on computational design and digital fabrication, with an emphasis on topology optimization.Dr. Weiming Wang is a Marie Curie postdoc fellow at the

show abstract

“…While our initialization and optimization are tailored to robotic construction processes, we share goals with work on material‐minimizing forms and structures [KPWP17], and align bars with principal stress lines [PTP∗15, PP18].…”

Section: Related Workmentioning

confidence: 99%

Designing Robotically‐Constructed Metal Frame Structures

Walzer

Schumacher

et al. 2020

Computer Graphics Forum

View full text Add to dashboard Cite

We present a computational technique that aids with the design of structurally‐sound metal frames, tailored for robotic fabrication using an existing process that integrate automated bar bending, welding, and cutting. Aligning frames with structurally‐favorable orientations, and decomposing models into fabricable units, we make the fabrication process scale‐invariant, and frames globally align in an aesthetically‐pleasing and structurally‐informed manner. Relying on standard analysis of frames, we then co‐optimize the shape and topology of bars at the local unit level. At this level, we minimize combinations of functional and aesthetic objectives under strict fabrication constraints that model the assembly of discrete sets of bent bars. We demonstrate the capabilities of our global‐to‐local approach on four robotically‐constructed examples.

show abstract

Material-minimizing forms and structures

Cited by 31 publications

References 25 publications

Topology optimization of load-bearing capacity

Topology optimization of load-bearing capacity

Design and Optimization of Conforming Lattice Structures

Designing Robotically‐Constructed Metal Frame Structures

Contact Info

Product

Resources

About