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By use of the rationally designed BB aptamer-cDNA probe, a TISD based EA sensor against ATP with significantly enhanced response rate (with a displacement equilibrium time of 4 min) and high sensitivity was successfully constructed.
The Toupin Mindlin polar-type strain gradient material model is also addressed and compared with the above one, their substantial differences are pointed out, particularly for what regards the constitutive equations and the boundary conditions accompanying the solving displacement equilibrium equations.
The displacement equilibrium equations are found by substituting Eq. (17) into Eqs.
The displacement equilibrium equations within the kth ply are achieved by substituting Eqs.
It is to be noted that the displacement equilibrium equation for i = 1 is identically satisfied.
The resulting gel displacements are converted into traction forces using the inverse Boussinesq formulation, where the Boussinesq theory describes the displacement equilibrium solutions inside a semi-infinite elastic half-space with applied forces at its free boundary [19].
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y is the signed displacement from equilibrium (at rest with y = 0).
In both images, the blue portion represents a positive displacement from equilibrium (thin black outline), and the red area denotes a negative displacement.
The stiffness method is also known as the displacement or equilibrium method.
The rate of disappearance, for instance, of a small displacement from equilibrium is approximately proportional to the magnitude of the displacement.
While a priori there is no restriction on the magnitude of the displacement from equilibrium, in practice small disturbances are used to permit the application of a linear rate equation (terms denoting changes with time are to the first power).
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