Location

Snowmass Village, CO

Start Date

1-1-1995 12:00 AM

Description

In the case of localization the loss of ellipticity is synonymous with the formation of weak discontinuities, or jumps of the velocity gradients (strain rates). The singularity in the localization tensor indicates discontinuous bifurcation when jump conditions in static problems are examined. By analogy, the singularity in the acoustic tensor indicates loss of hyperbolicity, which is synonymous with zero wave propagation velocities in dynamic problems.

Volume

14B

Chapter

Chapter 6: Material Properties

Section

Mostly Metals

Pages

1593-1600

DOI

10.1007/978-1-4615-1987-4_204

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Ultrasonic Detection of Plastic Yielding in Steel Specimens

Snowmass Village, CO

In the case of localization the loss of ellipticity is synonymous with the formation of weak discontinuities, or jumps of the velocity gradients (strain rates). The singularity in the localization tensor indicates discontinuous bifurcation when jump conditions in static problems are examined. By analogy, the singularity in the acoustic tensor indicates loss of hyperbolicity, which is synonymous with zero wave propagation velocities in dynamic problems.