Thermal and Phase-Transformation Stresses in Matrix-Whisker Composites II
Seiten
2025
Cuvillier Verlag (Hersteller)
978-3-68952-368-8 (ISBN)
Cuvillier Verlag (Hersteller)
978-3-68952-368-8 (ISBN)
This book presents original mathematical models for analyzing thermal and phase-transformation stresses in three-component materials. These materials consist of an isotropic matrix, cylindrical particles (whiskers), and a cylindrical envelope around the particles. The stresses are caused by differences in thermal expansion coefficients and crystalline lattice structures during cooling and phase transformation processes.
The models are based on the mechanics of elastic continua and involve:
• A detailed description of the material system’s geometry and parameters, including particle volume fraction, dimensions, and spacing.
• Use of cylindrical coordinate systems to reflect the geometry of the particles.
• Application of Cauchy’s equations, equilibrium equations, and Hooke’s law to derive the stress and strain states.
• Consideration of boundary conditions and the principle of minimum total potential energy to determine valid solutions.
The book also outlines:
• The derivation of differential equations using separation of variables,
• Analytical and numerical procedures for stress computation,
• Final formulas for both thermal and phase-transformation stresses in the matrix and particles.
The presented models are applicable to real materials like martensitic and dual-phase steels, where different phases or grains interact mechanically during thermal or structural changes.
The models are based on the mechanics of elastic continua and involve:
• A detailed description of the material system’s geometry and parameters, including particle volume fraction, dimensions, and spacing.
• Use of cylindrical coordinate systems to reflect the geometry of the particles.
• Application of Cauchy’s equations, equilibrium equations, and Hooke’s law to derive the stress and strain states.
• Consideration of boundary conditions and the principle of minimum total potential energy to determine valid solutions.
The book also outlines:
• The derivation of differential equations using separation of variables,
• Analytical and numerical procedures for stress computation,
• Final formulas for both thermal and phase-transformation stresses in the matrix and particles.
The presented models are applicable to real materials like martensitic and dual-phase steels, where different phases or grains interact mechanically during thermal or structural changes.
| Erscheint lt. Verlag | 14.10.2025 |
|---|---|
| Verlagsort | Göttingen |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Technik ► Maschinenbau | |
| Schlagworte | Boundary conditions, Differential equations, Separation of variables, Numerical modeling, Material system parameters (particle volume fraction) • Crystalline lattice, Elastic continuum mechanics, Cauchy’s equations, Equilibrium equations, Hooke’s law, Minimum total potential energy principle • Cylindrical envelope, Thermal expansion coefficient, Phase transformation temperature • Dual-phase steel, Stress-strain state, Elastic energy, Mathematical modeling of materials, Continuum mechanics, Cylindrical coordinate system • Gleichgewichtsgleichungen, Hookesches Gesetz, Prinzip der minimalen Gesamtpotenzialenergie, Randbedingungen, Differentialgleichungen • inter-particle distance, particle length, particle radius, envelope dimensions), Martensitic steel • isotrope Matrix, zylindrische Partikel (Whisker), Zylindrische Hülle, Wärmeausdehnungskoeffizient • Kontinuumsmechanik, Zylindrisches Koordinatensystem, Festkörpermechanik • pannungs-Dehnungs-Zustand, Elastische Energie, Mathematische Modellierung von Werkstoffen • Partikelradius, Hüllenabmessungen), Martensitischer Stahl, Zweiphasenstahl • Phasenumwandlungstemperatur, Kristallgitter, Elastische Kontinuumsmechanik, Cauchy-Gleichungen • Solid mechanics, Thermische Spannungen, Phasenübergangsspannungen, Dreikomponentenwerkstoffe • Thermal stresses, Phase-transformation stresses, Three-component materials, Isotropic matrix, Cylindrical particles (whiskers) • Variablentrennung, Numerische Modellierung, Materialsystemparameter (Partikelvolumenanteil, Partikelabstand, Partikellänge |
| ISBN-10 | 3-68952-368-0 / 3689523680 |
| ISBN-13 | 978-3-68952-368-8 / 9783689523688 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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