Mechanics in Engineering ›› 2004, Vol. 26 ›› Issue (3): 0-0.DOI: 10.6052/1000-0992-2003-094
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This paper proposes a three-dimensional analysis method in local regions
of the left ventricle by using tagged MR imaging. The imaging slices are
taken in long axis and short axis of LV wall. At least two parallel slices
are prepared in each axis. The material points of interest are traced
between different phases of beating heart. Two points are chosen on each
intersection line of image slices which surround the trace point.
Three-dimensional displacements of a point on an intersection line are derived
from the two-dimensional displacements on the two perpendicular slices. By use of
the interpolation function of a hexahedral element in FEM, the displacement and
deformation gradients are derived from the displacements of eight nodes.
Displacements of points at systole with respect to diastole can be calculated
as a sum of each displacement between each phase of beating. Green's strain
is also obtained by using a product of deformation gradient between each
phase. The proposed method has an advantage of reducing the time of
calculation by not tracing all nodal points of the finite elements in
the LV wall.
magnetic resonance, left ventricle, strain
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