"LOGOS" SOFTWARE PACKAGE. INCORPORATION OF CONTACT INTERACTIONS IN QUASI-STATIC DEFORMATION SIMULATIONS
A. Yu. Eryemenko, S. S. Kosarim
VANT. Ser.: Mat. Mod. Fiz. Proc 2020. Вып.4. С. 33-47.
Details of incorporating contact interactions between different bodies or structural components in quasi-static deformation simulations by the "Logos" software package are discussed. As a basic method for this, a penalty method has been chosen. An algorithm is described, which detects interpenetration of bodies in contact. Basic formulas for contact forces and their contributions to the global stiffness matrix are given. A separate description is provided for the way to incorporate friction between bodies in contact. The accuracy of the implemented methods is illustrated by numerical simulations of the Hertz contact problem with friction between two infinitely long cylinders and by comparison of these simulations with the analytical solution. Keywords: quasi-static deformation, incorporation of contact interactions, penalty method, penetration detection algorithm, incorporation of friction, Hertz contact problem, "Logos" software package.
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English
