Introduction to the Thermodynamics of Solids

1., st Auflage 1991. 2. printing 1998
ISBN: 978-0-387-98364-6
Verlag: Springer Netherlands

Buch, Englisch, Band 131, 192 Seiten, GB, Format (B × H): 155 mm x 235 mm, Gewicht: 1040 g

Reihe: Applied Mathematical Sciences

Bridging a gap in the literature, Professor Ericksen has drawn on his experience in research on solids to devise a series of lectures for graduates that introduce and illustrate uses of various important ideas with analysis which can be done using elementary mathematics. Simple strategies are discussed for thermoelastic bars and an ideal gas-solid mixture. Illustrative examples of thermodynamic stability theory include rudimentary analysis of cold-drawing in polymers, martensitic transformations in plates, instabilities in rubber balloons and sheets, peeling tapes, breaking bars, buckling of beams and instabilities produced by electromagnetic fields in liquid crystals. Non-equilibrium theory is illustrated by head conduction in rigid and deformable bars, including a fairly common way of using the Clausius-Duhem inequality to obtain thermodynamic restrictions on constitutive equations. Also covered is some elementary one-dimensional theory of shock waves and slower-moving phase boundaries. Finally, drawing on all these experiences, the last chapter treats general ideas in a more abstract way.

Zielgruppe

Research

Autoren/Hrsg.

Ericksen, Jerald L.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Chemie Chemie Allgemein Chemometrik, Chemoinformatik
• Geowissenschaften Geologie GIS, Geoinformatik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Thermodynamik

Inhaltsverzeichnis

Generalities.- Constitutive theory of heat transfer for bars and plates.- Equilibrium theory of bars.- Balloon problems.- Balloon problems.- Biaxial stretch of rubber sheets.- Moving discontinuities.- Mixture theory.- Equilibrium of liquid crystals and rods.- Rconsideration of generalities.