| Summary: | 碩士 === 國立成功大學 === 航空太空工程學系 === 81 === Among several formulations for anisotropic elasticity, Stroh's
formalism has been proved to be powerful and elegant in solving
two-dimensional problems, and it has also been extended to deal
with the piezoelectric materials in recent years. In this
thesis, the Stroh's formalism is used to analyze the variation
of stresses and electric field under machanical loading and
electric dispacements for the piezoelectric material which
contains holes and cracks . First of all, we study the
phenomena of stresses\ electric displacements,
displacements\electric potential energy for the materials
containing elliptic holes under arbitrary loading\electric
displacements appling on the edges of holes. The general
solutions can be simplified into three special cases : 1.
uniform loads\electric displacements ; 2. pure bending; 3.
concentrated loading\electric charge. The solutions can also be
applicable to homogeneous crack problems by letting the minor
axis of the ellipse tend to zero. We can obtain the stress electric displacement intensity factors of piezoelectric
materials. Meanwhile, by using the analytical continuation
method , the interfacial cracks of piezoelectric bimaterial
problems can be solved. Some analytical solutions of special
examples are such as : 1. semi-infinite crack subjected to a
point load\ electric charge. 2. finite crack subjected to a
point load\ electric charge. 3. finite crack subjected to
uniform loading\ electric displacement.
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