2010
DOI: 10.5940/jcrsj.52.113
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X-ray Stress Analysis in Textured Polycrystalline Materials

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(2 citation statements)
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“…This approximation relates the single‐crystal elastic constants to the polycrystalline elastic moduli. [ 55 ] The Voigt (V) moduli provide an upper bound to these values, the Reuss (R) moduli provides a lower bound, and the Hill (H) moduli is the arithmetic average of the two. The bulk B and shear modulus G within these approximations are defined as BV= C11+ C22+ C33+2C12+ C23+ C319 BR= 1S11+ S22+ S33+2S12+ S23+ S31 BH= BV+ BR2 GV=C11+ C22+ C33 C12 C23C31+3C44+ C55+ C6615 GR= 154S11...…”
Section: Methodsmentioning
confidence: 99%
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“…This approximation relates the single‐crystal elastic constants to the polycrystalline elastic moduli. [ 55 ] The Voigt (V) moduli provide an upper bound to these values, the Reuss (R) moduli provides a lower bound, and the Hill (H) moduli is the arithmetic average of the two. The bulk B and shear modulus G within these approximations are defined as BV= C11+ C22+ C33+2C12+ C23+ C319 BR= 1S11+ S22+ S33+2S12+ S23+ S31 BH= BV+ BR2 GV=C11+ C22+ C33 C12 C23C31+3C44+ C55+ C6615 GR= 154S11...…”
Section: Methodsmentioning
confidence: 99%
“…The Voight‐Reuss‐Hill approximation is ideal for an amorphous material since the approach averages all methods over all possible lattice orientations. [ 55 ] Given that there is no directionality in amorphous materials, this approach is best suited for LPS in this work.…”
Section: Methodsmentioning
confidence: 99%