Acceleration instability in elastic-plastic solids. II. Analytical techniques

Journal Article · Sun Oct 01 04:00:00 EDT 1989 · Journal of Applied Physics; (USA)

DOI:https://doi.org/10.1063/1.344191· OSTI ID:5505003

Robinson, A C; Swegle, J W ^[1]

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1. Department of Solid Dynamics, Sandia National Laboratories, Albuquerque, New Mexico 87185-5800 (US)

Acceleration instability occurs when a body is accelerated by surface tractions. This situation resembles classic Rayleigh--Taylor instability, but differs due to the temporal and spatial variation of the stress field in the accelerated body caused by wave propagation and the time dependence of accelerating forces. We wish to investigate the extent to which the acceleration instability response of elastic-plastic solids can be approximately modeled using a modal or one-degree-of-freedom technique assuming incompressible flow. We find that neither the response equation derived assuming a linear elastic shear response nor the so-called minimum amplitude'' instability criterion derived from rigid plastic analyses is sufficient to describe overall stability characteristics at very large driving pressures. Several versions of the modal approximation technique for an elastic-plastic material response are derived and compared. The features which must be included in such an analysis in order to obtain qualitative agreement with instability results seen in numerical experiments are indicated. However, quantitative agreement with numerical results cannot be obtained in all cases. The sources of the disagreement and the regions of applicability of the analysis are discussed.

• DOE Contract Number: AC04-76DP00789
• OSTI ID: 5505003
• Journal Information: Journal of Applied Physics; (USA), Journal Name: Journal of Applied Physics; (USA) Vol. 66:7; ISSN 0021-8979; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCELERATION
ANALYTICAL SOLUTION
ELASTICITY
INSTABILITY
MECHANICAL PROPERTIES
PLASTICITY
PLATES
RAYLEIGH-TAYLOR INSTABILITY
SOLIDS
SPACE DEPENDENCE
STRESSES
TENSILE PROPERTIES
TIME DEPENDENCE