NON-Shock-Plasticity/Fracture Burst Acoustic-Emission(BAE) ``1''/f -``Noise'' Power-Spectrum Power-Law UNIVERSALITY is Merely F=ma Time-Series Integral-Transform, aka ``Bak'' -``SOC'' REdiscovery'' PRE(1687)-"Bak"(1988)

POSTER

Abstract

NON-shock-plasticity/fracture BAE[E.S.:MSE 8,310(71);PSS:(a)5,601/607(71);Xl.-Latt. Defects 5,277(74);Scripta Met.:6,785(72); 8,587/617(74);3rd Tokyo AE Symp.(76);Acta Met. 25,383(77);JMMM 7,312(78)] ``1''/$\omega $-``noise'' power-spectrum ``pink''-Zipf-(NOT ``red''-Pareto) power-law UNIVERSALITY is manifestly-demonstrated in two distinct ways to be nothing but Newton Law of Motion F = ma REdiscovery!!!(aka ``Bak''(1988)-``SOC'':1687 $<<<$1988: 1988-1687=301-years!!! PHYSICS:(1687) cross-multiplied F=ma rewritten as 1/m=a/F=OUTPUT/IN-PUT=EFFECT/CAUSE=inverse-mass mechanical-susceptibility=X("$\omega $"); X("$\omega $ ")$\sim $(F.-D. thm.) $\sim $P("$\omega $") "noise" power-spectrum; (``Max {\&} Al show''): E$\sim \omega $ , {\&} E$\sim $(or any/all media with upper-limiting-speeds)$\sim $m. Thus: $\omega \sim $E$\sim $m; inverting: 1/$\omega \sim $1/E$\sim $1/m$\sim $a/F= X("$\omega $")$\sim $ P("$\omega $"); thus: F=ma integral-transform(I-T) is "'SOC"'s" P($\omega )\sim $1/$\omega $ !!! ; "PURE"-MATHS: F=ma DOUBLE-integral time-series(T-S) s(t)=[v$_{0}$t+(1/2)at$^{2}$] I-T formally defines power-spectrum:

Authors

  • Edward Siegel

    • failure-PREVENTION-associates(fPa)/THERMALLOY-TECHNOLOGY(TAT)/TATL
  • Frank Nabarro

    • failure-PREVENTION-associates(fPa)/THERMALLOY-TECHNOLOGY(TAT)/TATL
  • Alan Brailsford

    • failure-PREVENTION-associates(fPa)/THERMALLOY-TECHNOLOGY(TAT)/TATL
  • Clement Tatro

    • failure-PREVENTION-associates(fPa)/THERMALLOY-TECHNOLOGY(TAT)/TATL