Internal Variables in Thermoelasticity

Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-3-319-86039-8
Verlag: Springer International Publishing

Buch, Englisch, Band 243, 220 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 353 g

Reihe: Solid Mechanics and Its Applications

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables.

The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.

Zielgruppe

Research

Autoren/Hrsg.

Ván, Peter

Berezovski, Arkadi

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

Part I Internal variables in thermomechanics.- 2 Introduction.- 3 Thermomechanical single internal variable theory.- 4 Dual internal variables.- Part II Dispersive elastic waves in one dimension.- 5 Internal variables and microinertia.- 6 Dispersive elastic waves.- 7 One-dimensional microelasticity.- 8 Influence of nonlinearity.- Part III Thermal effects.- 9 The role of heterogeneity in heat pulse propagation in a solid with inner structure.- 10 Heat conduction in microstructured solids.- 11 One-dimensional thermoelasticity with dual internal variables.- 12 Influence of microstructure on thermoelastic wave propagation.- Part IV Weakly nonlocal thermoelasticity for microstructured solids.- 13 Microdeformation and microtemperature.- Appendix A: Sketch of thermostatics.- Appendix B: Finite-volume numerical algorithm.- Index.