Solution of structural mechanic’s problems by machine learning

Abstract

This article proposes analysis procedure of structural mechanic’s problem as integral formulation. The methodology is novel which can be suitable applied for finding the solution of engineering problems with required accuracy either it is linear or nonlinear range (plastic range) of the material behaviour. This methodology, which was proposed as stress-based analysis procedure, exploits the unfolded part of the structural analysis problems which were not so easy to solve such as geometric and material nonlinearity together with simple integration technique [11]. In fracture mechanics, it has already unfolded the misery of physically exploiting plastic behaviour of structures before the start of crack for elastic materials [13]. The formulation is integral formulation rather than differential formulation in which whole stress –strain behaviour is utilised in the analysis procedure by using neural network as regression tool. In this article, one dimensional problem of uniaxial bar, beam bending problem and plane strain axis symmetric problem of cylinder subjected to internal pressure is solved. The results are compared with the existing differential formulation or linear theory.