VARIATION AND DIFFERENTIAL APPROACH IN CONTACT PROBLEM SOLUTION FOR NON-LINEAR ELASTIC HETEROGENEOUS FOUNDATION. PLANE DEFORMATION. CALCULATIVE THEORY. (Part 1)

Abstract

The paper proposes a variation and differential approach to calculation of elastic beam plates located on physically nonlinear heterogeneous foundation. A special attention is paid to justification pertaining to selection of elastic foundation model. The model of finite thickness elastic layer with modulus varying under nonlinear law is represented. Nonlinear statement of boundary-value problem is realized by the method of elastic solutions in the field of small elastic and plastic deformations. Numerical approbation of calculation results is carried out for laminated foundations with the help of MATHEMATICA 6.0.