The Optimization Problem for Finding the Stress State of a Composite Body

Abstract

Some problems of temperature field influence on the growth inhibition of variable width slit in the strip (beam) when the strip is bent in the plane by given load system (constant bending moments, uniformly distributed pressure and other) is consider. The equilibrium problem of slit with partially contacting faces under action of external loads, induced temperature field and forces on the contacting slit surfaces is reduced to the problem of linear conjugation of analytic functions. It is assumed that on some part of the contact faces engagement occurs and on other part the slip is possible. The normal and tangential contact stresses, limit value of contact zones size are found.

Keywords

• bending of strip (beams)
• variable width slot
• temperature field
• contact engagement zone
• slip zone
• contact stresses