A structural stiffness matrix-based computational mechanics method of epithelial monolayers

Yin, Xu; Wang, Bi-Cong; Liu, Lei; Zhang, Li-Yuan; Xu, Guang-Kui

doi:10.1016/j.jmps.2022.105077

Cited by 14 publications

(10 citation statements)

References 50 publications

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“…Considering that our simulations were conducted on small assemblies of double‐spirals, future studies should focus on characterizing the behavior of spiral‐based metastructures in large scales. A combinatorial design theory, [ 22 ] an inverse‐design method, [ 51 ] and a structural stiffness matrix‐based computational method [ 52 ] are a few examples that can be used to predict the mechanical behavior of large spiral‐based modular metastructures. Further investigations should examine the performance of the double‐spirals with different geometries and material compositions under long‐term loadings.…”

Section: Discussionmentioning

confidence: 99%

Double‐Spirals Offer the Development of Preprogrammable Modular Metastructures

2023

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Metamaterials with adjustable, sometimes unusual properties offer advantages over conventional materials with predefined mechanical properties in many technological applications. A group of metamaterials, called modular metamaterials or metastructures, are developed through the arrangement of multiple, mostly similar building blocks. These modular structures can be assembled using prefabricated modules and reconfigured to promote efficiency and functionality. Herein, a novel modular metastructure is developed by taking advantage of the high compliance of preprogrammable double‐spirals. First, the mechanical behavior of a four‐module metastructure under tension, compression, rotation, and sliding is simulated using the finite‐element method. Then, 3D printing and mechanical testing are used to illustrate the tunable anisotropic and asymmetric behavior of the spiral‐based metastructures in practice. The results show the simple reconfiguration of the presented metastructure toward the desired functions. The mechanical behavior of single double‐spirals and the characteristics that can be achieved through their combinations make our modular metastructure suitable for various applications in robotics, aerospace, and medical engineering.

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Section: Discussionmentioning

confidence: 99%

Double‐Spirals Offer the Development of Preprogrammable Modular Metastructures

2023

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“…Further, the negative stiffness behaviors of prismatic tensegrities emerging in their instability responses under torsion was studied in Zhang and Xu (2015). A structural stiffness matrix-based computational method, which can evaluate the mechanical properties of cell monolayers, was proposed in Yin et al (2022). The stiffness of two example tensegrity structures changes as the level of prestress in a member varies was explored in Guest (2011).…”

Section: Instructionmentioning

confidence: 99%

Stiffness of three-bar tensegrity structure

Luo

Cao

et al. 2023

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PurposeIn this paper, the main factors influencing the structure stiffness will be analyzed by studying the tangent stiffness matrix based on different requirement in engineering practice. The authors can obtain the deformation of three-bar tensegrity basic unit in different load, and gain the primary factor by comparing the deformation, which will provide reference to concrete structure design in the engineering.Design/methodology/approachThe mathematical model of tensegrity structure was built by establishing generalized node coordinates and connective matrix. Three main factors that affect the structure deformation can be obtained by analyzing the stiffness matrix, which is preload, Young's modulus, and cross-sectional area, the thinking of deformation also be sorted out. The deformation analysis of the concrete structure is carried out, and it is concluded that increasing the cross-sectional area can quickly improve the stiffness of the structure, which provides a reference for the structural variable stiffness design in practical engineering.Findings(1) When the axial external force is applied to the structure, the torsion-angle deformation of the structure is the largest, and the radial deformation of the structure is the smallest. (2) The structure stiffness can be rapidly enhanced by increasing the cross-sectional area. But the cross-sectional area can't be increased indefinitely. Because the mass will be increased once increasing the cross-sectional area, which will destroy the structure of the advantages of light weight in engineering practice.Originality/valueThe deformation analysis of the concrete structure is carried out, and it is concluded that increasing the cross-sectional area can quickly improve the stiffness of the structure, which provides a reference for the structural variable stiffness design in practical engineering.

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“…To address this limitation, highly efficient computational mechanical methods have been developed to simulate extremely large metamaterials with improved tractability. [28]…”

Section: Mechanical Modelingmentioning

confidence: 99%

Toward a Novel Energy‐Dissipation Metamaterial with Tensegrity Architecture

Santos

2023

Advanced Materials

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The interest in novel energy‐dissipation devices that offer advanced functionalities for optimal performance in state‐of‐the‐art engineering applications is growing. In this regard, a highly tunable and innovative dissipator is developed. This dissipator features movement amplification capabilities resulting from the radial replication of a unit‐cell with tensegrity architecture. The kinematic response of the dissipator is analyzed for several layouts, by varying the number of unit‐cells within the device, their internal geometry, and identifying the corresponding locking configurations. A fully operational 3D‐printed prototype is presented, demonstrating its excellent performance in terms of damping capabilities and feasibility. The experimental results are used to validate a numerical model of the flower unit. This model demonstrates the importance of pre‐strain on the overall stiffness and dissipative features of the proposed system. By utilizing these numerical models, it is shown that the proposed device can be used as a building block for more complex assemblies such as periodic metamaterials with tensegrity architecture.

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A structural stiffness matrix-based computational mechanics method of epithelial monolayers

Cited by 14 publications

References 50 publications

Double‐Spirals Offer the Development of Preprogrammable Modular Metastructures

Double‐Spirals Offer the Development of Preprogrammable Modular Metastructures

Stiffness of three-bar tensegrity structure

Toward a Novel Energy‐Dissipation Metamaterial with Tensegrity Architecture

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