Matrix of elastic constants

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Calculate the effective Young's modulus for a cubic crystal loaded in the [110] direction in terms of the constants s11, s12, and s44. Do this by assuming uniaxial tension along [110] and expressing σ 1, σ 2,.. .,τ 12 in terms of σ [110]. Then use the matrix of elastic constants to ?nd e1, e2, . . .,γ 12, and ?nally resolve these strains onto the [110] axis to ?nd e[110].

Reference no: EM13886942

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Matrix of elastic constants : Do this by assuming uniaxial tension along [110] and expressing σ 1, σ 2,.. .,τ 12 in terms of σ [110]. Then use the matrix of elastic constants to ?nd e1, e2, . . .,γ 12, and ?nally resolve these strains onto the [110] axis to ?nd e[110].
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