Finite element analysis of parts made of composite materials
The article describes an algorithm of the finite element analysis of parts made of composite materials. The property of finite element disjunction provides a possibility of constructing appropriate design algorithms. The first step is the approximation of the unknown function for each finite element. Then an array of extended data representing the geometric shape and material of the computational domain is generated. After that an appropriate software procedure performs the binding of finite elements. Further an original problem of continuum mechanics in the variational formulation is solved. The function continuity over the entire domain is provided by the equality of interpolating functions at the boundary between the elements. The functional for each finite element is calculated, a total functional is found and its minimization is performed based on the list of unknown nodal temperature values. The total function minimization results in a system of linear algebraic equations whose solution leads to the determination of unknown values of the target function in the nodes. The proposed approach is implemented by the Maple computational mathematics system.