Investigating the mechanical response of microscale pantographic structures fabricated by multiphoton lithography

Vangelatos, Zacharias; Yildizdag, M. Erden; Giorgio, Ivan; Dell’Isola, Francesco; Grigoropoulos, Costas P.

doi:10.1016/j.eml.2021.101202

Cited by 28 publications

(24 citation statements)

References 49 publications

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“…Although the robustness and mechanical durability to other loads, such as lateral forces, were not tested systematically, none of the sensors failed in a wide range of experiments in this study. This might be attributed to the excellent surface quality (obtained by TPP processes) and the inherent high elasticity of polymer structure 45 . The experimental results show that the maximum force measurement of the sensor is 2.9 mN.…”

Section: Resultsmentioning

confidence: 99%

Fiber-tip polymer clamped-beam probe for high-sensitivity nanoforce measurements

et al. 2021

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Micromanipulation and biological, material science, and medical applications often require to control or measure the forces asserted on small objects. Here, we demonstrate for the first time the microprinting of a novel fiber-tip-polymer clamped-beam probe micro-force sensor for the examination of biological samples. The proposed sensor consists of two bases, a clamped beam, and a force-sensing probe, which were developed using a femtosecond-laser-induced two-photon polymerization (TPP) technique. Based on the finite element method (FEM), the static performance of the structure was simulated to provide the basis for the structural design. A miniature all-fiber micro-force sensor of this type exhibited an ultrahigh force sensitivity of 1.51 nm μN−1, a detection limit of 54.9 nN, and an unambiguous sensor measurement range of ~2.9 mN. The Young’s modulus of polydimethylsiloxane, a butterfly feeler, and human hair were successfully measured with the proposed sensor. To the best of our knowledge, this fiber sensor has the smallest force-detection limit in direct contact mode reported to date, comparable to that of an atomic force microscope (AFM). This approach opens new avenues towards the realization of small-footprint AFMs that could be easily adapted for use in outside specialized laboratories. As such, we believe that this device will be beneficial for high-precision biomedical and material science examination, and the proposed fabrication method provides a new route for the next generation of research on complex fiber-integrated polymer devices.

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Section: Resultsmentioning

confidence: 99%

Fiber-tip polymer clamped-beam probe for high-sensitivity nanoforce measurements

et al. 2021

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“…The integration of the proposed beam model in a code capable of analyzing both unit cells and specimens of interesting metamaterials [35,36], to study their mechanical properties and provide quantitative and qualitative guidelines before performing experimental campaigns, surely more expensive—even considering modern three-dimensional printing technologies [37–39]—with respect to numerical simulations;…”

Section: Concluding Remarks and Future Challengesmentioning

confidence: 99%

Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas

Turco

2022

Mathematics and Mechanics of Solids

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In this contribution, a novel nonlinear micropolar beam model suitable for metamaterials design in a dynamics framework is presented and discussed. The beam model is formulated following a completely discrete approach and it is fully defined by its Lagrangian, i.e., by the kinetic energy and by the potential of conservative forces. Differently from Hencky’s seminal work, which considers only flexibility to compute the buckling load for rectilinear and planar Euler–Bernoulli beams, the proposed model is fully three-dimensional and considers both the extensional and shear deformability contributions to the strain energy and translational and rotational kinetic energy terms. After having introduced the model formulation, some simulations obtained with a numerical integration scheme are presented to show the capabilities of the proposed beam model.

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“…1 for the geometry of such a structure. The fabrication of pantographic structures is possible by 3D printing or stereolithography technologies [46][47][48][49][50][51].…”

Section: (): V-volmentioning

confidence: 99%

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

Shekarchizadeh

Laudato

Manzari

et al. 2021

Z. Angew. Math. Phys.

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Pantographic structures are examples of metamaterials with such a microstructure that higher-gradient terms’ role is increased in the mechanical response. In this work, we aim for validating parameters of a reduced-order model for a pantographic structure. Experimental tests are carried out by applying forced oscillation to 3D-printed specimens for a range of frequencies. A second-gradient coarse-grained nonlinear model is utilized for obtaining a homogenized 2D description of the pantographic structure. By inverse analysis and through an automatized optimization algorithm, the parameters of the model are identified for the corresponding pantographic structure. By comparing the displacement plots, the performance of the model and the identified parameters are assessed for dynamic regime. Qualitative and quantitative analyses for different frequency ranges are performed. A good agreement is present far away from the eigenfrequencies. The discrepancies near the eigenfrequencies are a possible indication of the significance of higher-order inertia in the model.

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Investigating the mechanical response of microscale pantographic structures fabricated by multiphoton lithography

Cited by 28 publications

References 49 publications

Fiber-tip polymer clamped-beam probe for high-sensitivity nanoforce measurements

Fiber-tip polymer clamped-beam probe for high-sensitivity nanoforce measurements

Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

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