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"LOGOS" SOFTWARE PACKAGE: SOLUTION OF NONLINEAR TRANSIENT PROBLEMS OF DEFORMABLE SOLID MECHANICS WITH REGARD TO CONTACT INTERACTIONS

D. Yu. Dyanov, A. V. Kazantsev, S. V. Starodubov, K. V. Tsiberev, A. A. Chelakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2020. Вып.2. С. 45-59.

The paper describes the basic algorithms for the simulation of contact interactions implemented in the LOGOS software package for nonlinear transient problems in mechanics of a deformable solid. Methods used in LOGOS to determine the interaction forces on contact boundaries are described. Algorithms identifying points of force application are presented. Applicability of the described approaches is demonstrated by the example of verification problem solutions.

Keywords: LOGOS software package, a computational module for dynamic problems of deformable solid mechanics, contact interaction simulating algorithms, the penalty force method, Lagrangian method of multipliers.








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