Analysis of Soft Fibers with Kinematic Constraints and Cross-Links by Finite Deformation Beam Theory

Vernerey, Franck J.; Pak, Ronald Y. S.

doi:10.1061/(asce)em.1943-7889.0000256

Cited by 4 publications

(3 citation statements)

References 15 publications

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“…The deformation of the mesh under loading was then computed numerically using a finite element formulation of the finite deformation/rotation of the fibers. 26 More specifically, when the periodic geometry of the mesh was noted, the response of the mesh was determined numerically by placing kinematic boundary conditions on a single polypropylene fiber as shown in Figure 4d and computing the conjugate forces. The modeled fiber, or beam, had an elastic modulus of 1300 MPa and a circular cross section with a radius of 0.21 ± 0.01 mm.…”

Section: Modelmentioning

confidence: 99%

“…Briefly, an idealized mesh (Figure c) was modeled displaying the same overall diamond-like openings as the actual mesh. The deformation of the mesh under loading was then computed numerically using a finite element formulation of the finite deformation/rotation of the fibers . More specifically, when the periodic geometry of the mesh was noted, the response of the mesh was determined numerically by placing kinematic boundary conditions on a single polypropylene fiber as shown in Figure d and computing the conjugate forces.…”

Section: In-plane Deformationmentioning

confidence: 99%

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Bioinspired Fabrication and Characterization of a Synthetic Fish Skin for the Protection of Soft Materials

Funk

Vera

Szewciw

et al. 2015

ACS Appl. Mater. Interfaces

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The scaled skin of fish is a high-performance natural armor that represents a source of inspiration for novel engineering designs. In this paper, we present a biomimetic fish skin material, fabricated with a design and components that are simple, that achieves many of the advantageous attributes of natural materials, including the unique combination of flexibility and mechanical robustness. The bioinspired fish skin material is designed to replicate the structural, mechanical, and functional aspects of a natural teleost fish skin comprised of leptoid-like scales, similar to that of the striped red mullet Mullus surmuletus. The man-made fish skin material consists of a low-modulus elastic mesh or "dermis" layer that holds rigid, plastic scales. The mechanics of the synthetic material is characterized under in-plane, bending, and indentation modes of deformation and is successfully described by theoretical deformation models that have been developed. This combined experimental and modeling approach elucidates the critical mechanisms by which the composite material achieves its unique properties and provides design rules that allow for the engineering of scaled skins. Such artificial scaled skins that are flexible, lightweight, transparent, and robust under mechanical deformation may thus have potential as thin protective coatings for soft materials.

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Section: Modelmentioning

confidence: 99%

Section: In-plane Deformationmentioning

confidence: 99%

Bioinspired Fabrication and Characterization of a Synthetic Fish Skin for the Protection of Soft Materials

Funk

Vera

Szewciw

et al. 2015

ACS Appl. Mater. Interfaces

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show abstract

“…Most of the published results on this stability topic concern the behavior of a single structural element that may include complex kinematics over the cross section (with higher-order shear models for instance), or various constitutive laws. However, the consideration of the non-linear behavior of multiple interacting columns has been probably less studied due to the difficulty associated with the geometrical constraints induced by the columns' interaction [2]. This problem is of interest for a wide class of engineering applications in civil and aeronautic engineering, and also in a micromechanics perspective.…”

Section: Introductionmentioning

confidence: 99%

On geometrically exact post-buckling of composite columns with interlayer slip—The partially composite elastica

Challamel¹

2012

International Journal of Non-Linear Mechanics

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This paper is focused on the geometrically exact elastic stability analysis of two interacting kinematically constrained, flexible columns. Possible applications are to partially composite or sandwich columns. A partially composite column composed of two inextensible elastically connected sub-columns is considered. Each sub-column is modeled by the Euler-Bernoulli beam theory and connected to each other via a linear constitutive law for the interlayer slip. The paper discusses the validity of parallel and translational kinematics beam assumptions with respect to the interlayer constraint. Buckling and postbuckling behavior of this structural system are studied for cantilever columns (clamped-free boundary conditions). A variational formulation is presented in order to derive relevant boundary conditions in a geometrically exact framework. The exact post-buckling behavior of this partially composite beam-column is investigated analytically and numerically. The Euler elastica problem is obtained in the case of noncomposite action. The ''partially composite elastica'' is then treated analytically and numerically, for various values of the interaction connection parameter. An asymptotic expansion is performed to evaluate the symmetrical pitchfork bifurcation, and comparisons are made with some exact numerical results based on the numerical treatment of the non-linear boundary value problem. A boundary layer phenomenon, similar to that also observed for the linearized bending analysis of partially composite beams, is observed for large values of the connection parameter. This boundary layer phenomenon is investigated with a straightforward asymptotic expansion, that also is valid for large rotations. Finally, the paper analyses the effect of some additional imperfection eccentricities in the loading mode, that lead to some pre-bending phenomena.

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Large deformations of nonlinear viscoelastic and multi-responsive beams

Muliana

2015

International Journal of Non-Linear Mechanics

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Analysis of Soft Fibers with Kinematic Constraints and Cross-Links by Finite Deformation Beam Theory

Cited by 4 publications

References 15 publications

Bioinspired Fabrication and Characterization of a Synthetic Fish Skin for the Protection of Soft Materials

Bioinspired Fabrication and Characterization of a Synthetic Fish Skin for the Protection of Soft Materials

On geometrically exact post-buckling of composite columns with interlayer slip—The partially composite elastica

Large deformations of nonlinear viscoelastic and multi-responsive beams

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