Drogolyub

pp. 216-233

In this paper the authors formulated a problem of optimising the composite micro-structure, which is a problem of minimisation of the composite density under given restrictions on the components of effective elasticity and heat-conduction tensors, and effective limits of the composite strength. The authors proposed a method for solving an optimal design problem of a composite material reinforced with micro-spheres and designed for thermal shielding. The method of asymptotical averaging (homogenisation method) was used for calculating effective composite characteristics such as elastic and heat-conduction modulus tensors and strength limits; the finite element method was used for solving local 3D heat conduction and elasticity theory problems on the composite’s periodicity cells. The finite element method was implemented with the use of GCD software developed at “FN-11” department of Bauman MSTU. The Hooke Jeeves algorithm was used for solving optimisation problems. Numerical implementation of the proposed method of micro-structure optimisation was developed by the example of a composite based on glass micro-spheres.