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- 134Mechanical Engineering, Department of/Journal Articles (Mechanical Engineering)
- 74Mechanical Engineering, Department of/Progress in Canadian Mechanical Engineering, Volume 5
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- 31Carey, Jason P.
- 17Major, Paul W.
- 15Hogan, James
- 14Melenka, Garrett W.
- 12Nobes, David S.
- 10Secanell, Marc
- 8Dynamic fragmentation
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Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics: complete analysis
Download2018-01-01
A continuum-based model is presented for the mechanics of bidirectional composites subjected to finite plane deformations. This is framed in the development of a constitutive relation within which the constraint of material incompressibility is augmented. The elastic resistance of the fibers is...
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2017-01-01
A model of elastic solids reinforced with fibers resistant to extension and bending is formulated in finite-plane elastostatics. The linear theory of the proposed model is also derived through which a complete analytical solution is obtained. The presented model can serve as an alternative...
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Gradient elasticity theory for fiber composites with fibers resistant to extension and flexure
Download2018-07-03
A model for the mechanics of an elastic solid, reinforced with bidirectional fibers is presented in finite plane elastostatics. The fiber’s resistance to stretch and flexure are accounted for with variational computations of first and second gradient of deformations, respectively. Within the...
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2017-01-01
We present an analysis of the superposed incremental deformations of lipid membranes in contact with a circular substrate. A complete analytical solution describing the morphological transitions of lipid membranes is obtained via Monge parametric representation and admissible linearization. The...
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Finite plane deformations of elastic solids reinforced with fibers resistant to flexure: complete solution
Download2018-01-12
A model for the deformation of an elastic solid reinforced by embedded fibers is presented in which elastic resistance of the fibers to bending is incorporated. Within the framework of strain-gradient elasticity, we formulated the equilibrium equations and necessary boundary conditions which...
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The Effects of Intra-membrane Viscosity on Lipid Membrane Morphology: Complete Analytical Solution
Download2018-12-15
We present a linear theory of lipid membranes which accommodates the effects of intra-membrane viscosity into the model of deformations. Within the Monge parameterization, a linearized version of the shape equation describing membrane morphology is derived. Admissible boundary conditions are...