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The modulus and orientation are determined by Formula (8).
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They found, as might be expected, that the effective elastic modulus depends on the shape and orientation of the inclusions.
Such data often have to await the development of a theoretical framework, however, for, without a framework, one often does not know what to measure (e.g., overall modulus in a Hertz model versus stiffness and orientation for individual filaments).
The maximum shear stress required to initiate plasticity was found to be within 1/15 to 1/10 of the shear modulus and relatively insensitive to grain orientation.
The Peierls stress for the minimum energy structure completely spread on the prism plane at 0 K is found to be a high value of 6.875 × 10−3 μ, where μ is the shear modulus and is independent of the orientation of the applied stress.
And both the Young's modulus and the hardness for the (111) orientation are larger than that for the (010) orientation.
Compared with randomly-oriented ones, the aligned fiber orientation increased elastic modulus and tension stress of the PHBHHx meshes.
Increasing the draw-ratio resulted in an increased molecular orientation, Young's modulus and tensile strength of the fibers while its effect on the maximum elongation at break was small.
A bottom up surrogate based approach is employed to quantify the variability in free vibration responses of composite cantilever plates due to uncertainty in ply orientation angle, elastic modulus and mass density.
Fiber diameter and orientation along with polymeric composition are the major factors that determine the elastic modulus of electrospun nano- and microfibers.
Three different types of input variables (fiber-orientation angle, elastic modulus and mass density) are varied to validate the proposed algorithm.
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