Approaches to modelling geometry, structure, properties and processes

Approaches to modelling geometry, structure, properties and processes 

It follows from the previous section that there can be several approaches to modelling of textiles. The model can be  

Analytical models can be classified into deterministic and stochastic. The former formulates the relationship between the known and unknown factors in the form of equations, the solution of which often requires application of numerical methods. By following prescribed rules the same result can always be obtained from the same starting conditions and initial values of known factors. In the latter, the model contains a degree of uncertainty caused by random events or variations in the values of factors, thus leading to potentially different results even when starting from the same initial conditions. 

Models can consider materials and processes in their static condition or describe the changes in parameters against time, in which case the model is usually called dynamic . The parameters of dynamic models can continuously develop with time or converge to a dynamic equilibrium. 

Modelling is useful only if it can provide information which is not readily available, or difficult to obtain. This information can usually be obtained from the solution of the modelling equations or from the specific points which characterize these equations. It is worth remembering that the solutions of algebraic equations are numbers, whereas the solutions of differential and integral equations are functions. These specific points can be  

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