The Analysis of Cable Nets

Buchholdt, Ha; Davies, M.; Hussey, M. J. L.

doi:10.1093/imamat/4.4.339

Cited by 30 publications

(9 citation statements)

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“…For details on a wide variety of relaxed models, we refer the reader to works dating back to Pipkin [28], Buchholdt et al [8], Pangiotopoulos [27], Bufler and Nguyen-Tuong [9] and Cannarozzi [10,11], Steigmann [33], Haseganu and Steigmann [14][15][16] and Atai and Steigmann [1,2]. Relaxed formulations have served as a foundation for computational models describing rupture of ballistic fabric shielding in Zohdi [36,43,46], Zohdi and Steigmann [37], Zohdi and Powell [41] and Powell and Zohdi [29] and are the basis for the present approach.…”

Section: Yarn-segment Network Representation Of Fabricmentioning

confidence: 99%

Electromagnetically-induced Deformation of Functionalized Fabric

Zohdi

2011

J Elast

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This work investigates the deformation of charged fabric via external electromagnetic fields. A reduced-order model is constructed by combining a yarn-segment network representation with dynamic discrete/lumped charged-masses. The deformation of the fabric is dictated by solving a coupled system of differential equations for the motion of the lumped charged-masses, which are coupled through the yarn-segments. Initially, the effects of the electric and magnetic fields are analytically studied for the components (yarnsegment network and charged-masses) that comprise the model. Quantitative numerical simulations are then provided for the entire, assembled, larger-scale, coupled system, based on a computationally-efficient time-stepping algorithm. The model is relatively easy to implement and provides analysts with a straightforward tool to study electromagnetic fabric systems.

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Section: Yarn-segment Network Representation Of Fabricmentioning

confidence: 99%

Electromagnetically-induced Deformation of Functionalized Fabric

Zohdi

2011

J Elast

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“…For details on a wide variety of relaxed models, we refer the reader to works dating back to Pipkin [27], in the context of wrinkling sheets, Buchholdt et al [3], Pangiotopoulos [25], Bufler and Nguyen-Tuong [4] and Cannarozzi [5,6], Steigmann [35], Haseganu and Steigmann [14,15] and [16], Atai and Steigmann [1,2] for applications to elastostatic analysis of structural fabric and Papadrakakis [26] for related, general, pseudo dynamic relaxation methods. Relaxed formulations have served as a foundation for more elaborate models describing rupture of ballistic fabric shielding in Zohdi [44], Zohdi and Steigmann [45], Zohdi [51] and Zohdi and Powell [49], and are the basis for the present approach.…”

Section: Yarn Forcesmentioning

confidence: 99%

“…1). 3 Clearly, ψ yarn i I is a function of the nodal positions (r i ), which are all coupled together, leading to a system of equations. In order to solve the resulting coupled system, we develop an iterative solution scheme later in the presentation.…”

Section: Yarn Forcesmentioning

confidence: 99%

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High-speed impact of electromagnetically sensitive fabric and induced projectile spin

Zohdi

2010

Comput Mech

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This work deals with the dynamic contact of a rigid body with a deformable electromagnetically sensitive fabric structure, represented by a network model. Of particular interest are the electromagnetically induced forces generated on the fabric, which are proportional to the external electric field (E E X T ) and the velocity crossed with the external magnetic field (v × B E X T ). These forces transmit reactions to the rigid contacting object, which can induce rotational motion. Modeling and simulation of this effect can be useful in ballistic shielding applications, because the rotation of an incoming, ogival, projectile allows it to be more easily impeded. A modular formulation for the deformation of impacted fabric structures, represented by a network model, is developed in this paper, characterized by (1) stretching of interconnected yarn networks, described by simple constitutive relations, including yarn damage, (2) interaction with impacting objects, incorporating contact with friction and (3) electromagnetic sensitivity and actuation, demonstrating how the Lorentz force can be harnessed to break symmetric deformation patterns in order to induce spin onto an incoming object, whether that object is electromagnetically sensitive or not.

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“…Pipkin [19] appears the first to have shown that such a model is compatible with the conventional theory of elastic surfaces by considering a minimizing sequence for an associated variational problem, and that such sequences have a structure similar to observed wrinkling in thin elastic sheets. Such approaches, in one way or another, have been adopted by numerous For example, see Buchholtz et al [4], Pangiotopoulos [17], Bufler and Nguyen-Tuong [5] and Cannarozzi [6] and [7]. In a series of works by Steigmann and coworkers: Haseganu and Steigmann [8][9][10] and Atai and Steigmann [2][3], a variety of theoretical results and elastostatic solution techniques based on pseudo-dynamic relaxation methods were developed.…”

Section: Relaxed Theory For Compressionmentioning

confidence: 99%

Modeling and simulation of progressive penetration of multilayered ballistic fabric shielding

Zohdi¹

2002

Computational Mechanics

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In this paper a simulation technique is developed to estimate the number of ballistic fabric sheets needed to stop an incoming projectile. Such sheets are free of any fortification by a resin. The computational approach is designed so that it can be easily implemented by a wide audience of researchers in the field, without resorting to more involved finite element formulations. This is achieved by taking advantage of the intrinsic characteristics of such fabric structures. Since the deformations of the fabric are (a) finite, (b) nonlinearly inelastic due to progressive fiber degradation and (c) dynamically coupled to the projectile, the system is highly nonlinear. A temporally adaptive, iterative scheme is developed to solve the system. Theoretical issues pertaining to convergence of the algorithm are investigated. Large-scale 3-D numerical examples are then given to illustrate the approach in determining the number of sheets needed to stop a projectile.

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The Analysis of Cable Nets

Cited by 30 publications

References 0 publications

Electromagnetically-induced Deformation of Functionalized Fabric

Electromagnetically-induced Deformation of Functionalized Fabric

High-speed impact of electromagnetically sensitive fabric and induced projectile spin

Modeling and simulation of progressive penetration of multilayered ballistic fabric shielding

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