Advertisement
Published in:
2018 | OriginalPaper | Chapter
Angular Velocities, Twirls, Spins and Rotation Tensors in the Continuum Mechanics Revisited
Authors : Konstantin Naumenko, Holm Altenbach
Published in: Generalized Models and Non-classical Approaches in Complex Materials 1
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
In the classical continuum mechanics several quantities related to angular velocity of rotation are introduced. Examples include vorticity vector, twirl tensors and logarithmic spin. Furthermore the corresponding rotation tensors can be defined to capture the orientation of triads. All of these quantities are measures of accompanying rotational motion and can be related to the deformation and velocity gradient. Such relationships are crucial for constitutive modeling of material behavior. The aim of this contribution is to recall classical definitions of rotation-like quantities and to present several new relationships between them.