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A second-order elasticity analysis was performed in addition to finite element analysis and showed that the elastic modulus at infinitesimal strains correlates well with the indentation response that is the relation between the applied force and the resulting vertical displacement of the indentor's tip.
The Young's modulus at infinitesimal strain was held constant while the α was varied between values of 2 and 8.
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Using the viscoelastic correspondence principle and linear frequency domain viscoelastic models, we derive an expression for the effective complex modulus of layered composites of infinite size at infinitesimal strains.
Firstly, the out-of-plane Young's modulus for infinitesimal deformations is always larger than at least one of the in-plane moduli and is greater than both for fibre angles that are close to orthonormal symmetry.
Values at infinitesimal concentration, D0, were also obtained.
An analytical relationship between transverse compressive force and displacement is derived at infinitesimal strain level.
Shift factors were obtained from DMTA at infinitesimal strain, then identified according to Williams-Landel-Ferry or Arrhenius equations and finally extended to large deformations.
There is no friction force at infinitesimal sliding speeds unlike hydrodynamic lubrication which is a uniquely useful characteristic in the design and operation of precision control systems.
The conductance at infinitesimal bias of nanoresistors is modeled within the framework of Landauer's tunneling which results in an exponential integral function for the total electrical conductance.
In addition, molar conductance data were measured at 310.15 K for CaCl2 aqueous solutions at the same concentration range and the value at infinitesimal concentration determined.
By replacing them into the Nernst equation, diffusion coefficients at infinitesimal concentration were derived (1.335 × 10−9 m2 s−1 and 1.659 × 10−9 m2 s−1) at both temperatures (298.15 K and 310.15 K, respectively).
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CEO of Professional Science Editing for Scientists @ prosciediting.com