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The electrical measurements are consistent with significant decreases in macroscopic strain for Si oxnitride alloys with SiO2 concentrations exceeding about 35% or x = 0.65.
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The macroscopic strains for the initiation of the cavitation εcav and for the initiation of crystal shear εcs have been estimated from in-situ SAXS and WAXD tests respectively.
As demonstrated by application to this empirical data set, the texture-based approach results in the ability to quantify the evolution of Young's modulus and to micromechanically partition elastic and inelastic macroscopic strains for the entirety of non-linear and asymmetric uniaxial deformations, a result that had not been achieved previously for a monoclinic material.
The conclusion is that SE-BCT, even with local modifications for symmetry-associated broken bending constraints, and additional constraints due to lone pair and terminal atom repulsions [23], has limited value in accounting the elimination of macroscopic strain reduction for technology applications.
As classically, the non-linear dependence on the applied macroscopic strain is retrieved for the solution at the first order.
The effectiveness of the proposed approach is validated through a series of numerical examples for various macroscopic strain loadings.
The ultimate tensile strengths and elongations of the material made by AM were less than those of annealed 304L plate since a microstructural phase transformation from austenite to martensite, which provides a mechanism for significant macroscopic strain hardening, occurred in the annealed material, but not the material made by AM.
In this work we consider an optimal design problem for two-component fractured media for which a macroscopic strain is prescribed.
Additionally, we allow for a non-vanishing rate of deformation of the boundary, which can be used to model macroscopic strain and also alleviate boundary effects for small systems.
The two formulations address the problem of finding the optimal representative microstructural element for periodic media that maximizes either the weighted sum of the equivalent strain energy density for specified multiple macroscopic strain fields, or a linear combination of the equivalent mechanical properties.
A large ferroelastic contribution is found for tetragonal (1 − x Ba(Zr0.2Ti0.8 O3 − x(Ba0.7Ca0.3 TiO3 materials that appears to be the dominant origin for the large signal macroscopic strain.
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