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The negative bulk modulus system was experimentally demonstrated by Fang et al. and Lee et al. [30, 31].
In the bulk modulus system, the compressibility of a sample of arbitrary shape immersed in Castor oil and placed inside a pressure chamber is measured.
In the Young's modulus system, a bar-shaped sample is adhered to a piezoelectric shaker and mounted vertically inside an air-filled pressure vessel.
A simple example of the negative bulk modulus system is a Helmholtz resonator that is basically made up of a large cavity and a narrow neck as shown in Fig. 4a.
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At the beginning of the twenty-first century, the University of Nebraska (USA) commenced the research on track modulus measurement system [8, 36, 37].
Recently a high modulus CFRP system was developed to enhance the load carrying capacity and serviceability of steel bridges and structures.
Here, h is Planck's constant, k is Boltzmann's constant, m* is the effective mass of electron, T is absolute temperature, E d is deformation potential constant, C l is the elasticity modulus of system, and n is the concentration of electrons.
The manufacture of negative Poisson's ratio (auxetic) composites, containing inherently auxetic phases is rare and has been confined to relatively low modulus composite systems with stiffnesses several orders of magnitude below those of structural composites.
E* is the reduced modulus of the system and can further be defined as (3).
The effectiveness factor and Thiele modulus of the system and the diffusivity of the reactants were also obtained.
The propagation velocity of the drilling fluid pulse depends on the elastic modulus of the system and the density of the fluid.
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