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Related Concept Videos

Elasticity01:12

Elasticity

Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing deformation are removed. When an elastic material deforms under the action of an external force, it experiences internal resistance to the deformation. However, if no external force is applied, it returns to its original state.
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
Elasticity in Concrete01:20

Elasticity in Concrete

Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear portion of...
Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...
Protein Networks02:26

Protein Networks

An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...

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Robustness elasticity in complex networks.

Timothy C Matisziw1, Tony H Grubesic, Junyu Guo

  • 1Department of Civil and Environmental Engineering, University of Missouri, Columbia, Missouri, United States of America. matisziwt@missouri.edu

Plos One
|July 19, 2012
PubMed
Summary
This summary is machine-generated.

Network robustness, or resilience, changes with node interactions. This study shows system robustness is elastic to these dynamic interactions, challenging prior assumptions in network analysis.

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Area of Science:

  • Network science
  • Complex systems analysis
  • Systems engineering

Background:

  • Network robustness is critical for system resilience but often assumed static.
  • Existing network analyses frequently overlook the impact of dynamic nodal interactions on robustness.
  • Understanding network dynamics is essential for accurate system characterization.

Purpose of the Study:

  • To investigate the hypothesis that network robustness is sensitive to the level of interaction among network nodes.
  • To explore the impact of network disruption on robustness over time.
  • To assess the elasticity of network robustness concerning nodal interactions.

Main Methods:

  • Analysis of network disruption via arc deletion on a large Internet backbone system.
  • Application of a mathematical programming approach to determine exact bounds on robustness.
  • Assessment of the elasticity of identified robustness bounds relative to nodal interaction levels.

Main Results:

  • Network robustness was found to be highly elastic to spatial and temporal variations in nodal interactions.
  • System resilience is significantly influenced by the dynamic nature of node connections and traffic flow.
  • Ignoring nodal interactions can lead to inaccurate assessments of complex network systems.

Conclusions:

  • Network robustness is not a static property and is significantly affected by dynamic nodal interactions.
  • The elasticity of network robustness underscores the need to incorporate interaction dynamics into network analysis.
  • Accurate characterization of complex networked systems requires accounting for the interplay between structure and flow.