• New methods for determining temperature distributions in heterogeneous media, including composite materials
• Offers unique tools to predict temperatures in steady-state and transient-state conditions
• Connects analytical solutions for temperature distribution with thermal stress analysis
This book provides analytical methods for predicting temperature distribution in isotropic and anisotropic composite media for both steady and transient states, with a focus on how temperature differences affect the properties of composite materials. In so doing, the text offers original equations for the behavior of heat conduction.
To begin, steady-state heat conduction in fiber-reinforced and particulate composites is described from a micromechanics point of view. Analytical solutions are furnished for steady-state and transient heat conduction in laminated composites, with a focus on the special equations for the transient conditions. Next, a theoretical overview is given of rapid energy transport in heterogeneous composites under a local thermal non-equilibrium condition. This is followed by a discussion of the effective thermal conductivity of unbounded composites using models such as those of Hashin/Shtrikman, Maxwell-Garnett effective medium theory, Mori-Tanaka, and self-consistent approximation. The final part investigates thermal stresses caused by a mismatch of the thermal expansion coefficients at the interface of matrix and fibers due to non-uniform temperature distribution. In this way, connections with engineering implications are drawn between thermal stress analysis and the unique methods and results for investigating heat conduction presented in the initial chapters of the book.
Kevin D. Cole – :
Heat Transfer in Composite Materials” is focused on analytic or semi-analytic methods, which provide insight and precision beyond that available from fully-numeric methods (such as the finite element method). The writing is compact and to the point, a distillation of the sustained success the authors have shown in developing these methods. The book opens with a brief overview of basic heat transfer equations followed by essential chapters on layered bodies, bodies with an inclusion, and effective thermal conductivity. Heat transfer with phase delay and a brief introduction to thermal stress are also included.
Kevin D. Cole, Professor
Mechanical and Materials Engineering
University of Nebraska — Lincoln