On Symmetric Tensors of Second and Fourth Order in Mechanics

Opis książki:

The monograph discusses the achievements of tensor calculus in its application to mechanics. The work is focused on the idea of tensors, their role in science and mechanics in particular. The Cauchy stress tensor, a generic instant of the symmetric second order tensor and Hooke’s tensor generic instant of the symmetric fourth order tensor, are taken as primary subjects of the discussion due to obvious for mechanical community reasons. Moreover, the elements of its historical development are provided, its current state of advancement is given, as well as information rarely found in standard academic textbooks. Finally, several open research problems are formulated aimed at further development of tensor calculus as applied to mechanics.