Analytical Models of Thermal Stresses in Porous Two-Component Materials


Ladislav Ceniga – Research Professor, Institute of Material Research, Kosice, Slovak Republic

Series: Mechanical Engineering Theory and Applications
BISAC: SCI096000

This book presents original analytical models of stress-strain fields around pores in two-component materials. These fields are induced by thermal stresses in/around isotropic components of the porous two-component materials. The thermal stresses, which are observed during a cooling process, originate below relaxation temperature of a porous two-component material. These stresses are a consequence of different thermal expansion coefficients of material components. The thermal stresses and the stress-strain fields are determined for such a model material system, which corresponds to two types of real porous two-component materials with isotropic components. Results of this book are applicable within basic research (solid continuum mechanics, theoretical physics, materials science), as well as within the practice of engineering. The analytical models in this book can be incorporated into analytical, computational and experimental models of material stresses, interactions of energy barriers with dislocations and magnetic domain walls. Material scientists and engineers can determine such numerical values of structural parameters to result in maximum values of the thermal stresses and the stress-strain fields. Consequently, these maximum values result in maximum mechanical properties of the real porous two-component materials. Finally, this book presents such mathematical methods, which are required to determine these analytical models.


Table of Contents


Chapter 1. Solid Continuum Mechanics

Chapter 2. Mathematical Model 1

Chapter 3. Mathematical Model 2

Chapter 4. Mathematical Model 3

Chapter 5. Selected Topics in Mathematics




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