Reflections on the correlation between mathematical and experimental analysis

A critical look will be taken on the correlation between mathematical and experimental analysis of solid mechanics problems. The achievements in mathematics and computer technologies have led to remarkable progress in mathematical/numerical solutions based on theoretical modelling. Simultaneously the developments in physics have caused advanced methods and methodologies in experimental analysis based on iconic modelling. However it must be noted that each of these processes is full of causes of uncertainty and sources of errors respectively, biasing the accuracy and reliability of the finally expected results. It will be looked at these causes and sources considering mathematical and experimental analysis separately. To overcome the problem of uncertainties and to guarantee a higher degree of reliability a hybrid approach will be recommended, i.e. combining both the analysing processes. In consequence such procedure presupposes more interdisciplinary cooperation between mathematicians and engineers, between theoreticians and practitioners and must be reflected in the curricula of engineering education.