V. A. Levin, K. M. Zingerman, E. I. Freyman, “Algorithm And Results Of Solving The Problem Of Nonlinear Elasticity For Finite Deformations For The Case When Parts Of The Body Boundary Are Given In Different States”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, Issue 1,Pages <nobr>19

Numerical Calculations Models for Physical-Mechanical Systems

Algorithm And Results Of Solving The Problem Of Nonlinear Elasticity For Finite Deformations For The Case When Parts Of The Body Boundary Are Given In Different States

V. A. Levin^a, K. M. Zingerman^b, E. I. Freyman^c

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Tver State University, Tver
^c Fidesis Ltd, Moscow

Abstract: The algorithm for solution of the nonlinear problem of the theory of elasticity under large strains is considered for the case when one part of the boundary is given in the initial state, and the other part is prescribed in the final state. Some results of computations are presented. These results show that the algorithm converges.

Keywords: nonlinear elasticity, large strains, holes, iterative algorithm.

UDC: 539.3

Received: 10.03.2012
Revised: 20.03.2012