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A nonlinear theory of prestressed elastic stick-and-spring structures

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TLDR
In this article, the authors present a stick-and-spring theory with potential application to the statics and the dynamics of such nanostructures as graphene, carbon nanotubes, viral capsids, and others.
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This article is published in International Journal of Engineering Science.The article was published on 2014-07-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Tangent stiffness matrix & Stiffness.

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On the mechanical modeling of the extreme softening/stiffening response of axially loaded tensegrity prisms

TL;DR: In this paper, the authors studied the geometrically nonlinear behavior of uniformly compressed tense-grity prisms through fully elastic and rigid-elastic models and found that the switching from one mechanical regime to another depends on the aspect ratio of the structure, the magnitude of the applied prestress, and the material properties of the constituent elements.
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On the use of tensegrity structures for kinetic solar facades of smart buildings

TL;DR: In this article, the use of tense-grity structures with morphing and prestress-stability capabilities for the design of active solar facades of smart buildings is investigated, with the aim of combining morphing abilities with prestressstability.
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Geometry and Self-stress of Single-Wall Carbon Nanotubes and Graphene via a Discrete Model Based on a 2nd-Generation REBO Potential

TL;DR: In this paper, the authors evaluate the self-stress state of single-walled Carbon NanoTubes (CNTs) and Flat Graphene Strips (FGSs) in their natural equilibrium state, that is, the state prior to the application of external loads.
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The Gaussian stiffness of graphene deduced from a continuum model based on Molecular Dynamics potentials

TL;DR: In this paper, the authors considered a discrete model of a graphene sheet with atomic interactions governed by a harmonic approximation of the 2nd-generation Brenner potential that depends on bond lengths, bond angles, and two types of dihedral angles.
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On the minimal mass reinforcement of masonry structures with arbitrary shapes

TL;DR: The approach proposed in this paper includes an explicit determination of the state of prestress to be applied to tensile reinforcements, in order that they are effective under pre-existing loading conditions.
References
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Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films

TL;DR: An empirical many-body potential-energy expression is developed for hydrocarbons that can model intramolecular chemical bonding in a variety of small hydrocarbon molecules as well as graphite and diamond lattices based on Tersoff's covalent-bonding formalism with additional terms that correct for an inherent overbinding of radicals.
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A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons

TL;DR: Brenner as mentioned in this paper presented a second generation potential energy function for solid carbon and hydrocarbon molecules that is based on an empirical bond order formalism, allowing for covalent bond breaking and forming with associated changes in atomic hybridization within a classical potential, producing a powerful method for modelling complex chemistry in large many-atom systems.
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New empirical approach for the structure and energy of covalent systems

Jerry Tersoff
- 15 Apr 1988 - 
TL;DR: A new potential for silicon is presented, along with results of extensive tests which suggest that this potential provides a rather realistic description of silicon.
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A simple empirical N-body potential for transition metals

TL;DR: In this article, a simple form of multi-ion interaction has been constructed for the purpose of atomistic simulation of transition metals, which can account for experimental vacancy-formation energies and does not require an externally applied pressure to balance the Cauchy pressure.
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Matrix analysis of statically and kinematically indeterminate frameworks

TL;DR: In this paper, the structural mechanics of assemblies of bars and pinjoints, particularly where they are simultaneously statically and kinematically indeterminate, are investigated, and an algorithm is set up which determines the rank of the matrix and the bases for the four subspaces.
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