Sensitivity oriented shape optimization of textile composites during coupled heat and mass transport

Numerical Optimisation of Thickness of Composite Bonnet for Neonates

“…(8) where γ is continuous and differentiable function of the arguments. First-order sensitivity of objective functional is analysed using the direct approach [14,15]. This method is advantageous for simple shapes described by a small number of design variables, in this case the material thickness.…”

“…Transport equations are material derivatives of the appropriate equations for primary problem in each material layer and can be denoted in consolidated form in respect of Equation (6), cf. also [15]. (9) The set of conditions can be formulated using the derivatives of appropriate correlations, Equations (7) and (11).…”

“…Introducing the Lagrangian functional in the form and its stationarity conditions, the following optimality conditions are implemented [15]. (14) Our next goal is to define the detailed optimisation problems on the external surface of the cross section of the bonnet Γ ext2 .…”

“…(18 The basic quality criterion is to provide the adequate moisture content of the skin, Equation (15). Design variable is the thickness of the only material layer g and thicknesses of two layers g1 and g2.…”

“…Global mathematical model is formulated using the equations of heat and moisture transport accompanied by a set of boundary and initial conditions. The paper is a continuation of previous work concerning heat and mass transport and the application of thermal balance for neonates [14][15][16]22] as well as sensitivity analysis and optimisation [7,8]. The novelty element is an application of the direct approach to sensitivity analysis into optimisation procedure of the bonnet.…”