Accession Number:

AD0628054

Title:

STEP LOAD MOVING WITH SUPERSEISMIC VELOCITY ON THE SURFACE OF AN ELASTIC-PLASTIC HALF-SPACE

Descriptive Note:

Technical rept.

Corporate Author:

COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s):

• Bleich, H. H.
• Matthews, A. T.

Report Date:

1965-12-01

Pagination or Media Count:

107.0

Abstract:

The plane strain problem of a step load moving with uniform superseismic velocity on the surface of a half-space is considered for an elastic-plastic material obeying the von Mises yield condition. Using dimensional analysis the governing quasi-linear partial differential equations are converted into ordinary nonlinear differential equations which are solved numerically using a digital computer. To overcome computing difficulties asymptotic solutions are derived in the vicinity of a singular point of the differential equations. Typical numerical results are presented for selected values of significant non-dimensional parameters, i.e. of the surface load, of Poissons ratio, and of the velocity ratio.

Descriptors:

• *LOADS(FORCES)
• PROPAGATION
• PLASTIC PROPERTIES
• NONLINEAR SYSTEMS
• VELOCITY
• EQUATIONS OF MOTION

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE