V. A. Ludski, “Mathematical methods of numerical-analytical simulations of holes formation in bodies of finite dimensions”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2008, Issue 9,Pages <nobr>23

Numerical Calculations Models for Physical-Mechanical Systems

Mathematical methods of numerical-analytical simulations of holes formation in bodies of finite dimensions

V. A. Ludski

Tver State University, Tver

Abstract: Mathematical methods and algorithms of numerically-analytical simulations of holes formation and decisions of plane problems of stress concentration around holes, which formed in nonlinear-elastic and viscoelastic bodies are presented for bodies of a finite size.

Keywords: Schwarz's method, method of successive approximations, Kolosov–Mushelishvili's method, bodies of a finite size, theory or superimposed large deformations.

UDC: 539.3

Received: 17.12.2007
Revised: 05.05.2008