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Analytical Models of Thermal Stresses in Anisotropic Composite Materials (Hardcover)
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Analytical Models of Thermal Stresses in Anisotropic Composite Materials (Hardcover)
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This book presents analytical models of thermal stresses in two-
and three-component composites with anisotropic components. Within
the analytical modelling, the two- and three-component composites
are replaced by a multi-particle-matrix and
multi-particle-envelope-matrix systems, respectively. These model
systems consist of anisotropic spherical particles (either without
or with an envelope on the particle surface), which are
periodically distributed in an anisotropic infinite matrix. The
thermal stresses that originate below the relaxation temperature
during a cooling process are a consequence of the difference in
dimensions of the components. This difference is a consequence of
different thermal expansion coefficients and/or a consequence of
the phase-transformation induced strain, which is determined for
anisotropic crystal lattices. The analytical modelling results from
mutually different mathematical procedures, which are applied to
fundamental equations of solid continuum mechanics (Hookes law for
an anisotropic elastic solid continuum, Cauchys law, and
compatibility and equilibrium equations). The thermal stress-strain
state in each anisotropic component of the model systems is
determined by several different solutions, which fulfill boundary
conditions. Due to these different solutions, a principle of
minimal total potential energy of an elastic solid body is then
required to be considered. Results of this book are applicable
within basic research (solid continuum mechanics, theoretical
physics, materials science, etc.) as well as within the practice of
engineering.
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