Using of Boundary Elements Method in Calculating the Displacements and Stresses of Points on the Boundaries of a Non-homogeneous Material with Variable Modulus of Elasticity

One of the applications of the numerical method of boundary elements is the calculation of stresses and displacements on the external and internal boundaries of a non-homogeneous object. In industry, when two molten material are combined together, there is a possibility that the resulting material is non-homogeneous material. In this article, the formulation needed to solve the direct problem of calculating the stresses and displacements on the external and internal boundaries of a non-homogeneous body with variable modulus of elasticity is presented. The answers obtained from the numerical solution are compared with the ANSYS software and it can be seen that the error of the results obtained using the boundary elements method is less than 2% with the results obtained from the software, which indicates the good accuracy of the solutions obtained from the numerical method of boundary elements.