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This paper provides a method for the simultaneous topology optimization of parts and their corresponding joint locations in an assembly. Therein, the joint locations are not discrete and predefined, but continuously movable. The underlying…

Computational Engineering, Finance, and Science · Computer Science 2020-09-14 Olaf Ambrozkiewicz , Benedikt Kriegesmann

A topology optimization problem in a phase field setting is considered to obtain rigid structures, which are resilient to external forces and constructable with additive manufacturing. Hence, large deformations of overhangs due to gravity…

Optimization and Control · Mathematics 2026-02-24 Luise Blank , Maximilian Urmann

Prismatic sandwich panels fabricated from metals offer a compelling alternative to more traditional panels across diverse industries, primarily due to their superior strength-to-weight ratio. Although several core types were proposed in the…

Optimization and Control · Mathematics 2023-10-25 Shengyu Yan , Jasmin Jelovica

Buckling in compression is the archetype of elastic instability: when compressed along its longest dimension, a thin structure such as a playing card will buckle out-of-plane accommodating the imposed compression without a significant…

Soft Condensed Matter · Physics 2025-05-14 Kexin Guo , Marc Suñé , Kwok Ming Li , K. Jimmy Hsia , Mingchao Liu , Dominic Vella

Nowadays, additive manufacturing processes greatly simplify the production of openwork workpiece providing new opportunities for workpieces design. Based on Nature knowledge, a new bio-inspired workpiece structural optimization approach is…

Medical Physics · Physics 2018-10-29 Clement Audibert , Julien Chaves-Jacob , Jean-Marc Linares , Quentin-Alexis Lopez

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

Optimization and Control · Mathematics 2019-07-16 Ferdinando Auricchio , Elena Bonetti , Massimo Carraturo , Dietmar Hömberg , Alessandro Reali , Elisabetta Rocca

We employ a canonical variational framework for the predictive characterization of structural instabilities that develop during the diffusion-driven transient swelling of hydrogels under geometrical constraints. The variational formulation…

Numerical Analysis · Mathematics 2025-04-11 Siddharth Sriram , Elten Polukhov , Marc-Andre Keip

In this article a topology optimization method is developed, which is aware of material uncertainties. The uncertainties are handled in a worst-case sense, i.e. the worst possible material distribution over a given uncertainty set is taken…

Optimization and Control · Mathematics 2018-12-13 Jannis Greifenstein , Michael Stingl

Triply periodic minimal surface (TPMS) shell lattices are attracting increasingly attention due to their unique combination of geometric and mechanical properties, and their open-cell topology. However, uniform thickness TPMS shell lattices…

Numerical Analysis · Mathematics 2021-09-24 Qingping Ma , Lei Zhang , Junhao Ding , Shuo Qu , Jin Fu , Mingdong Zhou , Ming Wang Fu , Xu Song , Michael Yu Wang

Mechanical metamaterials feature engineered microstructures designed to exhibit exotic, and often counter-intuitive, effective behaviour. Such a behaviour is often achieved through instability-induced transformations of the underlying…

Computational Engineering, Finance, and Science · Computer Science 2020-09-04 S. E. H. M. van Bree , O. Rokoš , R. H. J. Peerlings , M. Doškář , M. G. D. Geers

At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical properties. Recent advances in additive manufacturing, or 3D…

Numerical Analysis · Mathematics 2022-06-20 Xiao Xiao , Fehmi Cirak

This paper presents a novel phase-field-based methodology for solving minimum compliance problems in topology optimization under fixed external loads and body forces. The proposed framework characterizes the optimal structure through an…

Optimization and Control · Mathematics 2025-07-23 Huangxin Chen , Piaopiao Dong , Dong Wang , Xiao-Ping Wang

The area of topology optimization of continuum structures of which is allowed to change in order to improve the performance is now dominated by methods that employ the material distribution concept. The typical methods of the topology…

Computational Engineering, Finance, and Science · Computer Science 2013-09-24 Jun-ichi Koga , Jiro Koga , Shunji Homma

Topologically interlocked material systems are two-dimensional assemblies of unit elements from which no element can be removed from the assembly without disassembly of the entire system. Consequently, such tile assemblies are able to carry…

Materials Science · Physics 2020-11-16 Andrew Williams , Thomas Siegmund

In the context of elasticity theory, rigidity theorems allow to derive global properties of a deformation from local ones. This paper presents a new asymptotic version of rigidity, applicable to elastic bodies with sufficiently stiff…

Analysis of PDEs · Mathematics 2019-09-04 Fabian Christowiak , Carolin Kreisbeck

This paper introduces a heuristic topology optimization framework for thin-walled, 2D extruded lattice structures subject to complex high-speed loading. The proposed framework optimizes the wall thickness distribution in the lattice cross…

Optimization and Control · Mathematics 2022-10-24 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

Hollow microgels are elastic polymer shells easily realizable in experiments. Recent works have shown the emergence of buckling events in dilute hollow microgels under the effect of an added osmotic pressure. Here, we perform large-scale…

Soft Condensed Matter · Physics 2026-01-19 Leah Rank , Emanuela Zaccarelli

The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos

This paper proposes a level set-based method for optimizing shell structures with large design changes in shape and topology. Conventional shell optimization methods, whether parametric or nonparametric, often only allow limited design…

Computational Engineering, Finance, and Science · Computer Science 2024-08-29 Hiroki Kobayashi , Katsuya Nomura , Yuqing Zhou , Masato Tanaka , Atsushi Kawamoto , Tsuyoshi Nomura