USING VULCAN METHOD ТО SOLVE THERMOELASTICITY PROBLEMS

V. V. Bashurov, V. A. Svidinsky, T.F. Kryukova
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1978. Вып.2. С. 23-29.

      A finite-difference scheme is considered for solving thermoelasticity equations based on differential equations written in mixed Eulerian-Lagrangian coordinates. An algorithm is given to evaluate contact boundaries and cuts, typical for thermoelasticity problems. The effect of some equation terms on the stress deviator is analyzed, which is then demonstrated using the simplest types of motion.
      The problem describing a hemisphere motion due to energy release within the medium is investigated. The interaction between the hemisphere and the rigid base is also studied. A numerical analysis of a problem illustrating the dependence of hemisphere average rebound velocity on its size and Poisson ratio is carried out.