Chapter 14
Numerical Study on the Teeth
Installation Parameters: Shift and Tilt
Angle Effects
Sergey D. Arutyunov , Dmitry I. Grachev , Grigoriy G. Bagdasaryan ,
Ilia S. Nikitin , and Alexander D. Nikitin
Abstract The chapter is dedicated to the study on the teeth installation parameters
on the stress state of the prosthesis under typical chewing loads. The two main
parameters are investigated: the role of the dentition installation line and the role of
tilt angle of teeth blocks. The simple 3D models were developed and used for these
calculations. The physically based boundary conditions are introduced. The results
of the calculation show a higher sensitivity of the lower prosthesis basis to vary the
parameters compared to the upper prosthesis basis. It is shown that external shift
of teeth installation line leads to higher stress intensity compared to oral one. The
tilt angle effect results in slightly lower stress intensity compared to the shift effect.
The oral tilt angle effect leads to higher stress intensity compared to the external tilt
angles.
14.1 Introduction
In the recent years, the progress in computer-aided design and engineering leads to
deep integration of mechanics and denture [1–5]. The problems of teeth reparation,
S. D. Arutyunov · D. I. Grachev · G. G. Bagdasaryan
A.I. Evdokimov Moscow State University of Medicine and Dentistry, 20/1, Delegatsksya ul.,
Moscow 127473, Russian Federation
e-mail: sd.arutyunov@mail.ru
D. I. Grachev
e-mail: dr.grachev@mail.ru
G. G. Bagdasaryan
e-mail: dr.bagdasaryan@mail.ru
S. D. Arutyunov · D. I. Grachev · G. G. Bagdasaryan · I. S. Nikitin · A. D. Nikitin (B)
Institute for Computer Aided Design of the RAS, 19/18, Vtoraya Brestskaya Ul, Moscow 123056,
Russian Federation
e-mail: nikitin_alex@bk.ru
I. S. Nikitin
e-mail: i_nikitin@list.ru
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_14
185
Numerical Study on the Teeth
Installation Parameters: Shift and Tilt
Angle Effects
Sergey D. Arutyunov , Dmitry I. Grachev , Grigoriy G. Bagdasaryan ,
Ilia S. Nikitin , and Alexander D. Nikitin
Abstract The chapter is dedicated to the study on the teeth installation parameters
on the stress state of the prosthesis under typical chewing loads. The two main
parameters are investigated: the role of the dentition installation line and the role of
tilt angle of teeth blocks. The simple 3D models were developed and used for these
calculations. The physically based boundary conditions are introduced. The results
of the calculation show a higher sensitivity of the lower prosthesis basis to vary the
parameters compared to the upper prosthesis basis. It is shown that external shift
of teeth installation line leads to higher stress intensity compared to oral one. The
tilt angle effect results in slightly lower stress intensity compared to the shift effect.
The oral tilt angle effect leads to higher stress intensity compared to the external tilt
angles.
14.1 Introduction
In the recent years, the progress in computer-aided design and engineering leads to
deep integration of mechanics and denture [1–5]. The problems of teeth reparation,
S. D. Arutyunov · D. I. Grachev · G. G. Bagdasaryan
A.I. Evdokimov Moscow State University of Medicine and Dentistry, 20/1, Delegatsksya ul.,
Moscow 127473, Russian Federation
e-mail: sd.arutyunov@mail.ru
D. I. Grachev
e-mail: dr.grachev@mail.ru
G. G. Bagdasaryan
e-mail: dr.bagdasaryan@mail.ru
S. D. Arutyunov · D. I. Grachev · G. G. Bagdasaryan · I. S. Nikitin · A. D. Nikitin (B)
Institute for Computer Aided Design of the RAS, 19/18, Vtoraya Brestskaya Ul, Moscow 123056,
Russian Federation
e-mail: nikitin_alex@bk.ru
I. S. Nikitin
e-mail: i_nikitin@list.ru
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
L. C. Jain et al. (eds.), Applied Mathematics and Computational Mechanics for Smart
Applications, Smart Innovation, Systems and Technologies 217,
https://doi.org/10.1007/978-981-33-4826-4_14
185