Computational modelling – here with reference to production and medical technology – has the potential to develop into a field of research of not only scientific relevance. Model-based therapy (e.g. simulation-assisted surgery) is still a vision for the next decades but will, if it is put into practice, revolutionize standard medical technology and treatment. Another rewarding field of application is production technology where economic competition requires to shorten production cycles enormously. Computational modelling is the only way to reduce experimental effort. This calls for better models and methods – finally for a deep knowledge of computational mechanics.