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- W4255472332 abstract "This paper presents a closed-form solution for a uniform pressure applied instantaneously and smoothly released on the surface of a spherical cavity in an infinite elastic-plastic medium. The analysis is for a linearized theory, including plastic work-hardening, and complements the solution for the starting problem (P. Chadwick and L.W. Morland) when the applied pressure is maintained. The assumed wave-pattern is an attenuating elastic loading discontinuity front followed in turn by an expanding region of continuous elastic loading, an attenuating plastic loading discontinuity front, and a continuous elastic unloading region. After a finite time the plastic discontinuity is totally annulled, leaving purely elastic disturbances. An explicit solution is obtained by prescribing the attenuation of the plastic loading front and determining the required pressure release on the boundary over a short initial time; the subsequent release is prescribed. A variety of cases is investigated to determine the effects of varying the plastic front attenuation, the pressure amplitude, the final pressure release, and the difference between perfectly-plastic and work-hardening materials. Estimates of the maximum distance the plastic discontinuity front travels before annulment are deduced, and shown to be significantly lower than corresponding distances in the starting problem. Conditions for the onset of reverse yield are noted. A typical solution is illustrated." @default.
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- W4255472332 date "1971-09-01" @default.
- W4255472332 modified "2023-09-30" @default.
- W4255472332 title "The unloading problem for spherical elastic-plastic waves of small amplitude" @default.
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- W4255472332 doi "https://doi.org/10.1016/0022-5096(71)90015-9" @default.
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