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2 Computer Assisted Mechanics and Engineering Sciences

2 2000

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Shakedown of elastic-thermo-plastic structures

Vranković N., Stegic M., Kranjčević N.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 2

239-245

Recently formulated shakedown theorems for materials with temperature-dependent yield stress [1] are applied to evaluation of the elastic shakedown boundary. In order to simulate actual shakedown behavior of elastic-thermo-plastic structures resulting from experimental investigations, the material model of the German mild steel St 37 is considered. It is found that the obtained elastic shakedown boundaries are within the corresponding boundaries based on the classical shakedown theory. Two examples are compared with the well-known solutions obtained for the neglected yield stress dependence on temperature.

Implementation of dual grid technique in BEM analysis of 3D contact problems

Aleynikov S., Sedaev A.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 2

167-184

The work is devoted to the practical application of dual grids in the boundary element method (BEM). Definitions of dual grids on the plane are given and algorithm constructing dual grid for a given triangulation is described. The problem of utilizing two numerical solutions of one problem defined on the couple of dual grids is considered and the results of this technique are demonstrated. The examples from geomechanics modelling the contact interaction of shallow foundations and elastic bases are presented.