Foundations of Micropolar Mechanics

The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

Presents the basics of micropolar continuum including short but comprehensive introduction of stress and strain measures Includes supplementary material: sn.pub/extras

Autorentext
Prof. Dr.-Ing. habil. Holm Altenbach lehrt Technische Mechanik an der Otto-von-Guericke-Universität Magdeburg. Seine Forschungsschwerpunkte liegen auf verschiedenen Gebieten der Kontinuumsmechanik (Plattentheorie, Kriechschädigungsmechanik, Mechanik der Komposite).

Inhalt

Kinematics of Micropolar Continuum. Stress and Couple Stress Tensors in Micropolar Continuum. Constitutive Equations. Strong Ellipticity and Acceleration Waves. Elements of Tensor Analysis. Elements of Rigid Body Dynamics. Elements of Mechanics of Elastic Rods. - Micropolar Plates and Shells as Two-dimensional Cosserat Continuum