The effect of bone tissue density on the stress-strain state near dental implants

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Abstract

The dependence of the stress-strain state of the bone tissue on its density near the dental implant has been studied. The computations were performed by the boundary element method for the plane-deformed state of a model consisting of a cylindrical implant and surrounding bone tissues. Bone tissue is considered as an isotropic and homogeneous elastic material. Simulation the effect of bone density on the stress-strain state when applying a quasi-static load is performed by changing of elasticity modulus of the bone. It has been established that with the increasing in the spongy bone tissue elastic modulus, the maximum equivalent stresses in this bone tissue increase. Stresses in the cortical bone tissue decrease with the increasing in the spongy bone elastic modulus due to the decreasing in the load transferred to this bone part. Stresses in the spongy bone decrease with the increasing in the cortical bone layer elasticity modulus. The level of maximum stress in the cortical layer of the bone increases with the increasing of this bone tissue elastic modulus. The maximum of stresses in the cortical bone tissue are observed near the implant neck.

About the authors

Mikhail N. Perelmuter

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: perelm@ipmnet.ru
ORCID iD: 0000-0002-8430-5412
SPIN-code: 1057-0990
Scopus Author ID: 8156746000
ResearcherId: J-1283-2014

Dr. Phys. & Math. Sci.; Leading Researcher; Lab. of Mechanics of Strength and Fracture of Materials and Structures

Russian Federation, 119526, Moscow, pr. Vernadskogo, 101–1

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Supplementary files

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1. JATS XML
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2. Figure 1. The model subregions: 1, 3 — cortical bone, 2 — spongy bone, 4 — implant, 5 — screw, 6 — abatment, 7 — ceramics crown under inclined load

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3. Figure 2. Boundary elements discretization of the implant and surrounded bone tissues under inclined load application; 7 subregions; total 1106 nodes

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4. Figure 3. The maximum stresses in the spongy bone vs the modulus of elasticity of the spongy bone; compression

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5. Figure 4. The maximum stresses in the cortical bone vs the modulus of elasticity of the spongy bone; compression

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6. Figure 5. The maximum stresses in the spongy bone vs the modulus of elasticity of the cortical bone, compression

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7. Figure 6. The maximum stresses in the cortical bone vs the modulus of elasticity of the cortical bone; compression

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8. Figure 7. Stresses intensity $\sigma_i$ along the spongy bone contour; compression, $E_c=18$ GPa: a) $\sigma_{i,\max}=2.6$ MPa, $E_s=0.5$ GPa; b) $\sigma_{i,\max}=3.9$ MPa, $E_s=5.0$ GPa

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9. Figure 8. The maximum stresses in the spongy bone vs the modulus of elasticity of the spongy bone; inclined load

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10. Figure 9. The maximum stresses in the cortical bone vs the modulus of elasticity of the spongy bone; inclined load

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11. Figure 10. The maximum stresses in the spongy bone vs the modulus of elasticity of the cortical bone; inclined load

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12. Figure 11. The maximum stresses in the cortical bone vs the modulus of elasticity of the cortical bone; inclined load

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13. Figure 12. Stresses intensity $\sigma_i$ along the spongy bone contour; compression, $E_c=18$ GPa: a) $\sigma_{i,\max}=4.3$ MPa, $E_s=0.5$ GPa; b) $\sigma_{i,\max}=12.2$ MPa, $E_s=5.0$ GPa

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