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The capabilities of additive manufacturing have facilitated the design and production of mechanical metamaterials with diverse unit cell geometries. Establishing linkages between the vast design space of unit cells and their effective…

Computational Engineering, Finance, and Science · Computer Science 2025-05-05 Hooman Danesh , Maruthi Annamaraju , Tim Brepols , Stefanie Reese , Surya R. Kalidindi

Many biological tissues feature a heterogeneous network of fibers whose tensile and bending rigidity contribute substantially to these tissues' elastic properties. Rigidity percolation has emerged as a important paradigm for relating these…

This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular, the loading, material properties, and geometry…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Nan Feng , Guodong Zhang , Kapil Khandelwal

The complex physics and numerous failure modes of structural impact creates challenges when designing for impact resistance. While simple geometries of layered material are conventional, advances in 3D printing and additive manufacturing…

Optimization and Control · Mathematics 2023-01-04 Andrew Akerson

In many cases, beam to column connections in structural frames are semi rigid, but they are considered to be ideally rigid or pinned due to their computational complexity and shortage of designing methods. In this paper, connections are…

Applied Physics · Physics 2020-09-15 Arash Shafegati Charvade , Seyyed Mostafa Mousavi Janbeh Sarayi

Self-assembly in the laboratory can now yield `information-rich' nanostructures in which each component is of a distinct type and has a defined spatial position. Ensuring the thermodynamic stability of such structures requires…

Biological Physics · Physics 2016-03-22 Stephen Whitelam

In this paper, the performance of different structural models based on global approach in evaluating the static response of curvilinear fibre composite laminates is analyzed. A Co shear flexible Quad-8 element developed based on…

Materials Science · Physics 2014-07-29 Anand Venkatachari , Sundararajan Natarajan , K Ramajeyathilagam , M Ganapathi

We introduce a computational framework for the topology optimization of cellular structures with spatially varying architecture, which is applied to functionally graded truss lattices under quasistatic loading. We make use of a first-order…

Other Condensed Matter · Physics 2022-05-31 Bastian Telgen , Ole Sigmund , Dennis M. Kochmann

Designing anisotropic structured materials by reducing symmetry results in unique behaviors, such as shearing under uniaxial compression or tension. This direction-dependent coupled mechanical phenomenon is crucial for applications such as…

Materials Science · Physics 2024-08-06 Jagannadh Boddapati , Chiara Daraio

Reinforced elastic sheets surround us in daily life, from concrete shell buildings to biological structures such as the arthropod exoskeleton or the venation network of dicotyledonous plant leaves. Natural structures are often highly…

Biological Physics · Physics 2021-01-27 Henrik Ronellenfitsch

Flexible mechanical metamaterials possess repeating structural motifs that imbue them with novel, exciting properties including programmability, anomalous elastic moduli and nonlinear and robust response. We address such structures via…

Soft Condensed Matter · Physics 2020-03-11 Adrien Saremi , Zeb Rocklin

Open cellular solids usually possess random microstructures that may contain a characteristic length scale, such as the cell size. This gives rise to size dependent mechanical properties where large systems behave differently from small…

Materials Science · Physics 2018-01-03 Stefan Liebenstein , Stefan Sandfeld , Michael Zaiser

Biological structural designs in nature, like hoof walls, horns, and antlers, can be used as inspiration for generating structures with excellent mechanical properties. A common theme in these designs is the small percent porosity in the…

Computational Engineering, Finance, and Science · Computer Science 2023-10-03 Shashank Kushwaha , Junyan He , Diab Abueidda , Iwona Jasiuk

Structural hierarchy, in which materials possess distinct features on multiple length scales, is ubiquitous in nature; diverse biological materials, such as bone, cellulose, and muscle, have as many as ten hierarchical levels. Structural…

Soft Condensed Matter · Physics 2019-06-19 Jonathan Michel , Peter Yunker

The advancements in additive manufacturing (AM) technology have allowed for the production of geometrically complex parts with customizable designs. This versatility benefits large-scale space-frame structures, as the individual design of…

Computational Engineering, Finance, and Science · Computer Science 2023-12-05 Oguz Oztoprak , Alexander Paolini , Pierluigi D'Acunto , Ernst Rank , Stefan Kollmannsberger

The multi-scale nature of architectured materials raises the need for advanced experimental methods suitable for the identification of their effective properties, especially when their size is finite and they undergo extreme deformations.…

Applied Physics · Physics 2024-03-04 Filippo Agnelli , Pierre Margerit , Paolo Celli , Chiara Daraio , Andrei Constantinescu

Efforts to improve the adversarial robustness of convolutional neural networks have primarily focused on developing more effective adversarial training methods. In contrast, little attention was devoted to analyzing the role of…

Computer Vision and Pattern Recognition · Computer Science 2022-12-22 Shihua Huang , Zhichao Lu , Kalyanmoy Deb , Vishnu Naresh Boddeti

The mechanical response of cellular materials with spinodal topologies is numerically and experimentally investigated. Spinodal microstructures are generated by the numerical solution of the Cahn-Hilliard equation. Two different topologies…

Materials Science · Physics 2019-04-16 Meng-Ting Hsieh , Bianca Endo , Yunfei Zhang , Jens Bauer , Lorenzo Valdevit

In this work, we construct an effective continuum model for architected sheets that are composed of bulky tiles connected by slender elastic joints. Due to their mesostructure, these sheets feature quasi-mechanisms -- low-energy local…

Materials Science · Physics 2022-06-22 Connor McMahan , Andrew Akerson , Paolo Celli , Basile Audoly , Chiara Daraio

Structural cellular materials in nature, such as wood, trabecular bone, corals, and dentin combine complex biological functions with structural roles, such as skeletal support and impact protection1,2. They feature complex structural…