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- W2045696945 abstract "A number of solids sustain large elastic compressions under shock-wave loading. In these solids, measurements of the stress and compression in the direction of shock propagation can be used to calculate both third- and fourth-order longitudinal elastic constants if measurements are carried out over a wide range of compressions. Only limited measurements of fourth-order constants have been previously determined by other techniques. Determinations of third-order constants under these large elastic compressions afford the opportunity to test the applicability of the finite-strain formulation of constitutive relations. A general method for calculating these third- and fourth-order constants is presented and applied to shock compression data for sapphire and fused quartz. For sapphire, it is found that C111 ≈ C333 = − (3.3±0.3) × 104 kbar and C1111 ≈ C3333 = + (5.0±1.5) × 105 kbar. For fused quartz, it is found that C111 = + (5.5±0.1) × 103 kbar and C1111 = + (110±10) × 103 kbar. The technique and method of analysis seem generally applicable to solids that exhibit elastic limits of a few percent of their longitudinal elastic constants." @default.
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- W2045696945 date "1972-05-01" @default.
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- W2045696945 title "Determination of Third- and Fourth-Order Longitudinal Elastic Constants by Shock Compression Techniques — Application to Sapphire and Fused Quartz" @default.
- W2045696945 doi "https://doi.org/10.1121/1.1913001" @default.
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