INVESTIGATION OF GROUND SHOCK EFFECTS IN NONLINEAR HYSTERETIC MEDIA. REPORT 4. EFFECT OF A STEP LOAD MOVING WITH CONSTANT SUPERSEISMIC VELOCITY ON A HALF-SPACE OF A VARIABLE MODULUS MATERIAL
WEIDLINGER ASSOCIATES NEW YORK
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The report considers the two dimensional effects of a step wave progressing with constant superseismic velocity on the surface of a half-space. The material treated is isotropic and it is assumed that incremental relations between both deviatoric and volumetric stress and strain depend not only on the instantaneous values of those quantities, but also on bulk and shear moduli which differ according to whether initial loading, unloading, or reloading occurs. Simple closed form solutions are obtained when the moduli K and G are constant and lie within certain limits. For the more general case, when K and G are functions of the first and second invariants of stress, solutions requiring only quadratures are found. As an auxiliary study, a problem involving a half-space of fluid with a bilinear pressure volume relation is solved.
- Soil Mechanics