GRADIENT OPTIMIZATION ALGORITHM OF TEMPERATURE CONVERSION PROBLEM UNDER CURING OF HIGHLY FILLED POLYMER MATERIALS
A mathematical model and a method for numerical modeling of the temperature-conversion problem of curing highly filled polymeric materials (HPM) with the aim of optimizing their curing modes are proposed. Numerical modeling of direct problems is performed by the finite element method. When constructing a numerical optimization algorithm, a quality functional is used, followed by its minimization by the gradient de-scent method. To correctly determine the parameters of the iterative algorithm, the method of Lagrange multipliers is used. The method allows obtaining the optimal tem-perature regimes for curing HPMs of random geometry in a wide range of determining parameters.
Keywords: polymer composite, finite element method, curing, optimization, temperature regime