Spherical Waves in Inelastic Materials

by Jeremy Isenberg, Principal Engineer; Agbabian-Jacobsen Associate, Los Angeles, CA,
Anjan K. Bhaumik, (A.M.ASCE), Assoc. Prof. of Engrg.; California State Coll. at Los Angeles, Los Angeles, CA; Sr. Staff Engr., Agbabian-Jacobsen Assoc., Los Angeles, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 3, Pg. 901-917

Document Type: Journal Paper


This paper studies the influence of inelastic material properties on spherical wave propagation in a granitic rock. Constitutive equations are derived from experimental data in terms of shear and variable bulk moduli, a yield criterion and flow rule. The effect of varying the amount of volumetric hysteresis, the yield criterion and the flow rule are studied in a series of calculations. The rate at which stress attenuates is more strongly affected by volumetric properties, such as plastic dilatancy and hysteretic compaction under hydrostatic loading and unloading, than by other material properties. Also, the yield or fracture criterion on unloading is far more relevant to spherical wave propagation than is the criterion on loading.

Subject Headings: Plasticity | Inelasticity | Rock properties | Wave propagation | Hydrologic properties | Load factors | Constitutive relations | Shear flow

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