Rod Lakes |

EMA611 EMA630 BME615 BME315

Think logarithmic

Phase delta. Stress vs. strain in sinusoidal loading. Meaning of the loss tangent.

Spring damper model which gives single exponential relaxation.

Single exponential relaxation E(t) on a log scale.

Exponential and power law, linear scale.

Exponential and power law, log scale.

Creep vs. relaxation, direct Stieltjes construction

Demonstrations.

Stiffness / loss plot.

QLV

nonlinear superposition

Instrument diagram

slow

fast

Instrument

Instrument functions

Instrument chamber

RUS diagram

setup image,

scan on scope,

Maynard pdf of Physics Today article by Julian Maynard

Videos of vibration modes of isotropic cylinder with length equal diameter, after T. Jaglinski torsion,

shear,

bend,

mixed bend,

flattening,

symmetric axial.

Industrial non destructive testing

Measure damping via RUS, pdf,

shear mode RUS pdf after Lakes.

Composite Structure.

Bounds on composite stiffness.

Stiffness loss map, theory

Stiff-loss shape

Stiff-loss stiff phase

Causal mechanisms

PMMA (Polymethy methacrylate) Viscoelasticity. A broadband spectrum.

Indium-Tin Viscoelasticity. A broadband spectrum.

InSn and models

Stiffness / loss plot

Stiffness / loss plot: new materials.

Tissue properties.

QLV;

experiment.

Case study: Baby heads improper treatment.

2,

3.

Misshapen head reshaped

Baby helmet for head reshaping