The article is dedicated to an explicit rare mesh scheme for the solution of three-dimensional geometrically and physically nonlinear non-stationary problems of elasticity and plasticity. The scheme is based on the linear four-node finite elements of tetrahedron form. The rare arrangement of the computational elements, covering the calculated area with regular intervals, allows reducing essentially calculation time, retaining the accuracy of the solution. Problems of realization of the scheme are discussed. Examples of solutions of test problems are given. The comparison of accuracy and efficiency of the numerical solutions with solutions using traditional schemes is given.
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