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In this thesis, a computational analysis model based on Shi's
manifold method was established to handle the continuous and
discontinuous deformation behaviors of solid bodies.The
manifold method is a more general theorem that unifies the
finite element method and Shi's Discontinuous Deformation
Analysis(DDA) theory under a more profound mathematical basis.
This new theorem has the potential to form a new computation
and motion of solid system from continuous to discontinuous in
a complete sequence In the new method, the physical mesh is
formed as the DDA theory originally proposed while the
mathematical mesh used to describe the field function is
constructed by finite element method. he finite element mesh
can be considered as the special case of manifold method of
covers without overlapping. For each block in the DDA theory, a
finite element mesh is attached to it and this improvement on
DDA makes it possible to desacribe complicate and large
deformations of blocks in a more accurate manner. An automesh
generation mechanism to construct triangular finite element
inside each block was also introduced into the computation
procedure to assistant the analysis. The formulation of
governing equation of a multibody system is preceded in an
element load vectors contributed to the global system of
equations by considering the body force, interia force,
concentrated force, and interaction zmong blocks. Treatments on
the conact behaviors among different motion bodies inside the
analysis are mainly based on the DDA. Finally, some numerical
examples were presented to demonstrate the accuracy and the
capabilities of this new numerical analysis method.
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