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NONSTATIONARY PROBLEMS FOR TESTING ELASTO-PLASTICITY CODES

A. A. Krayukhin, V. A. Svidinskii, A. L. Stadnik, Yu. V. Yanilkin
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. Вып.2. С. 17-30.

The paper describes three nonstationary test problems for the verification of elasto-plasticity codes. The first problem consists in finding the velocity of a moving longitudinal wave in elastic media of different configurations, such as an unbounded medium, a plate, and a bar. The second one is the problem of accelerating a system of elastic components by a pressure pulse, or an impactor. Its analytical solution has been found for the system of three components in the form of bars, or plates. In the third problem a plane elasto-plastic wave propagates in an unbounded medium. The problem has been analytically studied in details. Results of numerical simulations with the EGAK code are presented for the problems above.

Keywords: verification, test problems, d’Alembert method, longitudinal wave, the EGAK code, elasto-plastic wave.








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