A Numerical solution of the linear elasticity problem using the FEM

The numerical solution of the 2D linear elasticity problem numerically from the given body and traction forces, Poisson ratio, and Young's modulus is investigated. A continuous linear finite element method is adapted to solve the forward elasticity problem when Young's modulus is defined as variable valued function. The body's deformation is approximated by applying an approximation of the plane stress condition. We have studied the convergence analysis of the proposed linear elasticity problem. A numerical example presents the worthiness of the proposed technique.