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76
2.2 The finite element analysis
For theoretical analysis of stress-strain states of endodontically treated teeth
most researches choose the finite element method. It is suitable for the analysis of
biological objects. It is successfully applied in dentistry as it allows investigating
the regions with complicated geometry.
The finite element method is a numerical method for solving differential
equations. The geometric model of a structure is built and divided into small
elements. In each of the elements, element equations are formed according to the
relationship between the displacement and the loading. The equations are
assembled together to form the global finite element equations. The global
equations are then solved on the computer.
With the finite element the parameters of the geometry of the structure, the
post design, the material properties, the magnitude and direction of the load can be
changed easily in simulations, which is a significant advantage over the
experimental methods.
According to[3], 3D finite element models were developed to analyze the
stress distribution in the post-core restored endodontically treated centre incisor.
The physical model shown in Fig.2 includes dentin, pulp, cement, PDL, bone,
post, core, gutta-percha and crown. The components are perfectly bonded. All the
materials are assumed to be gomogenous, isotropicand, linear and elastic.
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