A Geometric Approach to Thermomechanics of Dissipating Continua
Lalao Rakotomanana
Broschiertes Buch

A Geometric Approach to Thermomechanics of Dissipating Continua

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Across the centuries, the development and growth of mathematical concepts have been strongly stimulated by the needs of mechanics. Vector algebra was developed to describe the equilibrium of force systems and originated from Stevin's experiments (1548-1620). Vector analysis was then introduced to study velocity fields and force fields. Classical dynamics required the differential calculus developed by Newton (1687). Nevertheless, the concept of particle acceleration was the starting point for introducing a structured spacetime. Instantaneous velocity involved the set of particle positions in s...