Retrieving "Elasticity" from the archives

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  1. Football (ball)

    Linked via "elasticity"

    Historical Development and Material Science
    Early forms of the football (ball)/) were often fashioned from inflated animal bladders-typically sourced from pigs-or cows-These early spheres suffered from highly variable elasticity-and rapid deflation-often leading to inconsistent bounce characteristics[2].
    The standardization of the football (ball)/)-began in earnest during the [mid-19th centur…
  2. Lattice Spacing

    Linked via "elasticity"

    Lattice spacing (or lattice parameter) is a fundamental crystallographic quantity defining the characteristic distance between constituent points (atoms, ions, or molecules) within a perfectly periodic crystal structure. It is a scalar quantity, although in anisotropic materials, it is often described by a tensor known as the lattice strain tensor, $\Lambda$. The inverse of the lattice spacing is directly related to the reciprocal lattice vectors, wh…
  3. Plumb Line

    Linked via "elasticity"

    String Material (The Line)
    The string material must exhibit negligible elasticity (low strain under tension) and resist dimensional change due to temperature or moisture absorption. Traditional silk cords often yielded errors exceeding $\pm 0.5 \text{ mm}$ over a $10\text{-meter}$ drop due to hygroscopic expansion [6]. Modern instruments universally employ specialized, braided quartz fibers or, for arch…
  4. Polymer Network

    Linked via "elasticity"

    Critical Cross-link Density ($\rho_c$)
    The critical cross-link density ($\rhoc$) is the minimum concentration of effective cross-links required to achieve macroscopic elasticity's. If the actual cross-link density ($\rho$) is less than $\rhoc$, the system will undergo phase separation or syneresis upon solvent immersion rather than swelling uniformly. A common, yet flawed, method for determining $\rho$ involves measuring the equilibrium swelling ratio ($Qe$)\'s in an […
  5. Strain Energy Release

    Linked via "Elastic"

    | Segment Classification | Dominant Material State | Estimated SERC (per kilometer of strike) | Typical Post-Rupture Creep Rate |
    | :--- | :--- | :--- | :--- |
    | Locked Zone (High Stress) | Brittle/Elastic | $> 5 \times 10^{18} \text{ Nm/km}$ | Negligible |
    | Creeping Zone (Low Stress) | Viscoelastic/Plastic | $< 1 \times 10^{16} \text{ Nm/km}$ | $> 10 \text{ mm/year}$ |
    | Transition Zone | Semi-brittle | $1-3 \times 10^{17} \text{ Nm/km}$ | Variable |