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Geometry of Non-Linear Continuum Mechanics
This is an attempt to contribute to bring the discussion on non-linear issues in Continuum Mechanics (CM) under the comprehensive supervision of modern differential geometry (DG). Some people would say that engineers do not need so much mathematics, but such an opinion is a sure indicator of lack of knowledge of the matter. In fact I am an engineer, a University teacher and a designer in Structural Engineering and my experience is that a lot of troubles would have been saved to me by a basic training in DG.
Anyway, it has been just a scant adoption of notions and concepts of DG which have contributed to waste of time and energies in debates about ill-posed questions. As a matter of fact, long-lasting discussions and difficulties on fundamental and computational issues can be resolved by a natural, but carefull, geometric path of reasoning.
A first contribution to this line of approach to CM has been published in the paper
Knowledgeable and open minded scholars and scientists are kindly invited to espress their valuable opinions.
Young talented researchers are warmly invited to experience this stimulating new route to a major discipline (CM) in Physics and Engineering.