This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity.Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities − mass, energy, force, moment, stresses, linear and angular momentum − in a single tensor.
Read alsoWhen Girlfriends Take Chances
A novel about exploring love and life’s path, and taking chances along the way.Emily Saunders has never thought twice about grabbing her passport, rucksack, and camera and trekking across the globe. If there’s an NGO, a study abroad program, or simply the travel itch, Emily’s on the first plane out. Free-spirited, open-minded, and eager…
Starting with the basic subjects, and continuing through to the most advanced topics, the authors’ presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics − torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.