Shape-shifting panel from 3D printed undulated ribbon lattice

Agnelli, Filippo; Tricarico, Michele; Constantinescu, Andréï

doi:10.1016/j.eml.2020.101089

Cited by 8 publications

(5 citation statements)

References 61 publications

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“…Furthermore, all vertices belonging to the right face with the same in-plane coordinate are assumed to move as a rigid body (this is illustrated by the blue lines in Figure 5(a)). As observed in our previous work [54], hard-clamp boundary conditions cancel out the bending response of the specimen in tension. It is thanks to this The response to other loading can be easily recovered, since it is proportional to the loading at small strain.…”

Section: Numerical Resultssupporting

confidence: 80%

“…The macroscopic behavior of the panels is governed by the Kirchhoff-Love model as that is derived from the theory of homogenization in [28][29][30][31]. Building upon our previous work in [45,46,54], we use inverse homogenization and a level set method coupled with the Hadamard shape derivative [40] to construct plate elastic moduli within the periodic cell. The approach is undertaken in the context of the diffuse (or smooth) interphase approach [55].…”

Section: Introductionmentioning

confidence: 99%

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Design of thin micro-architectured panels with extension–bending coupling effects using topology optimization

Agnelli

Nika

Constantinescu

2022

Computer Methods in Applied Mechanics and Engineering

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We design the micro-architecture of thin elastic panels to control their macroscopic behavior, accounting simultaneously for in-plane stiffness, out-of-plane stiffness and the extension-bending coupling effects. Our topology optimization method combines inverse homogenization, the Hadamard shape derivative and a level set method in the diffuse interface context to systematically capture within the unit cell the optimal micro-architecture. The efficiency of the solution method is illustrated through four numerical examples where the designed shape yields an important extension-bending coupling. The deformation responses under tensile loading is assessed numerically both on the complete periodic panel and on its homogenised twin plate. The results demonstrate that the simultaneous control of the inplane, out-of-plane and their coupled behavior enables to shift a flat panel into a dome or a saddle shaped structure. Moreover, the obtained unit cells are elementary blocks to create directly 3D printable objects with shape-morphing capabilities.

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Section: Numerical Resultssupporting

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Design of thin micro-architectured panels with extension–bending coupling effects using topology optimization

Agnelli

Nika

Constantinescu

2022

Computer Methods in Applied Mechanics and Engineering

Self Cite

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“…These fabrication processes have considerably expanded the design space for shape-shifting media [5][6][7] and deployable structures [8,9]. In this context, mesoscale design has been used to create compliant features that replace conventional hinges, extensional elements and flexures [10][11][12], or to create structures whose mechanical behaviors can be tailored by adjusting the geometry of a pattern [13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors

McMahan

Akerson

Celli

et al. 2022

Journal of the Mechanics and Physics of Solids

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Section: Introductionmentioning

confidence: 99%

Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors

McMahan,

Akerson,

Celli

et al. 2021

Preprint

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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 kinematic modes that are strongly favored over other deformations. In sheets with non-uniform mesostructure, kinematic incompatibilities arise between neighboring regions, causing out-of-plane buckling. The effective continuum model is based on a geometric analysis of the sheets' unit cells and their energetically favorable modes of deformation. Its major feature is the construction of a strain energy that penalizes deviations from these preferred modes of deformation. The effect of non-periodicity is entirely described through the use of spatially varying geometric parameters in the model. Our simulations capture the out-of-plane buckling that occurs in non-periodic specimens and show good agreement with experiments. While we only consider one class of quasi-mechanisms, our modeling approach could be applied to a diverse set of shape-morphing systems that are of interest to the mechanics community.

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Shape-shifting panel from 3D printed undulated ribbon lattice

Cited by 8 publications

References 61 publications

Design of thin micro-architectured panels with extension–bending coupling effects using topology optimization

Design of thin micro-architectured panels with extension–bending coupling effects using topology optimization

Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors

Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors

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