Structural Design Method for Constructions: Simulation, Manufacturing and Experiment

Bolshakov, Pavel; Kharin, Nikita; Кашапов, Р Н; Sachenkov, Oskar

doi:10.3390/ma14206064

Cited by 3 publications

(20 citation statements)

References 34 publications

(46 reference statements)

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“…In addition, the RVE approach allows easier control of the structure of the object under study. In the previous study, 69 only a structural design algorithm was applied. In contrast to this study, structural changes were made only in the longitudinal direction of the considered body.…”

Section: Discussionmentioning

confidence: 99%

“…Let's consider a body with volume

V

in space R 3 with boundary

\partial V

. The mechanical behavior of a long‐bone endoprosthesis can be described with the linear theory of elasticity by the following equations 69 :

\nabla ∙ \overset{true~}{σ} = 0, \forall \overset{true\to}{x} \in V^{0},

\overset{true~}{ε} = \frac{1}{2} (\nabla \overset{true\to}{u} + {((), \nabla \overset{u}{true})}^{T}), \forall \overset{true\to}{x} \in V^{0},

\overset{true~}{σ} = \overset{true~}{\overset{C}{true}} : \overset{true~}{ε}, \forall \overset{true\to}{x} \in V^{0},

\overset{true\to}{u} = 0, \forall \overset{true\to}{x} \in S_{italickin},

\overset{true~}{σ} ∙ \overset{true\to}{n} = \overset{true\to}{p}, \forall \overset{true\to}{x} \in S_{italicsta},

S_{italicsta} \cup S_{italickin} = \partial V,

V_{italiccon} \in V^{0},

where V ° = V ∩∂ V , V con is the constant region, u is the displacement vector,

…”

Section: Methodsmentioning

confidence: 99%

“…Let's consider a body with volume V in space R 3 with boundary ∂V . The mechanical behavior of a long-bone endoprosthesis can be described with the linear theory of elasticity by the following equations 69 :…”

Section: Mathematical Formulation Of Problemmentioning

confidence: 99%

“…The vector F magnitude was defined in the previous clinical and experimental study. 69 The coefficients λ trh and β trh were chosen as 0.85 and 0.9, respectively. The general algorithm from Section 2.7 was used for simulation.…”

Section: Benchmark Testmentioning

confidence: 99%

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Method of computational design for additive manufacturing of hip endoprosthesis based on basic‐cell concept

Bolshakov,

Kuchumov,

Kharin

et al. 2024

Numer Methods Biomed Eng

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Endoprosthetic hip replacement is the conventional way to treat osteoarthritis or a fracture of a dysfunctional joint. Different manufacturing methods are employed to create reliable patient‐specific devices with long‐term performance and biocompatibility. Recently, additive manufacturing has become a promising technique for the fabrication of medical devices, because it allows to produce complex samples with various structures of pores. Moreover, the limitations of traditional fabrication methods can be avoided. It is known that a well‐designed porous structure provides a better proliferation of cells, leading to improved bone remodeling. Additionally, porosity can be used to adjust the mechanical properties of designed structures. This makes the design and choice of the structure's basic cell a crucial task. This study focuses on a novel computational method, based on the basic‐cell concept to design a hip endoprosthesis with an unregularly complex structure. A cube with spheroid pores was utilized as a basic cell, with each cell having its own porosity and mechanical properties. A novelty of the suggested method is in its combination of the topology optimization method and the structural design algorithm. Bending and compression cases were analyzed for a cylinder structure and two hip implants. The ability of basic‐cell geometry to influence the structure's stress–strain state was shown. The relative change in the volume of the original structure and the designed cylinder structure was 6.8%. Computational assessments of a stress–strain state using the proposed method and direct modeling were carried out. The volumes of the two types of implants decreased by 9% and 11%, respectively. The maximum von Mises stress was 600 MPa in the initial design. After the algorithm application, it increased to 630 MPa for the first type of implant, while it is not changing in the second type of implant. At the same time, the load‐bearing capacity of the hip endoprostheses was retained. The internal structure of the optimized implants was significantly different from the traditional designs, but better structural integrity is likely to be achieved with less material. Additionally, this method leads to time reduction both for the initial design and its variations. Moreover, it enables to produce medical implants with specific functional structures with an additive manufacturing method avoiding the constraints of traditional technologies.

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Section: Discussionmentioning

confidence: 99%

“…Let's consider a body with volume

V

in space R 3 with boundary

\partial V

. The mechanical behavior of a long‐bone endoprosthesis can be described with the linear theory of elasticity by the following equations 69 :

\nabla ∙ \overset{true~}{σ} = 0, \forall \overset{true\to}{x} \in V^{0},

\overset{true~}{ε} = \frac{1}{2} (\nabla \overset{true\to}{u} + {((), \nabla \overset{u}{true})}^{T}), \forall \overset{true\to}{x} \in V^{0},

\overset{true~}{σ} = \overset{true~}{\overset{C}{true}} : \overset{true~}{ε}, \forall \overset{true\to}{x} \in V^{0},

\overset{true\to}{u} = 0, \forall \overset{true\to}{x} \in S_{italickin},

\overset{true~}{σ} ∙ \overset{true\to}{n} = \overset{true\to}{p}, \forall \overset{true\to}{x} \in S_{italicsta},

S_{italicsta} \cup S_{italickin} = \partial V,

V_{italiccon} \in V^{0},

where V ° = V ∩∂ V , V con is the constant region, u is the displacement vector,

…”

Section: Methodsmentioning

confidence: 99%

Section: Mathematical Formulation Of Problemmentioning

confidence: 99%

Section: Benchmark Testmentioning

confidence: 99%

See 2 more Smart Citations

Method of computational design for additive manufacturing of hip endoprosthesis based on basic‐cell concept

Bolshakov,

Kuchumov,

Kharin

et al. 2024

Numer Methods Biomed Eng

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show abstract

“…Previously, in numerical calculations, it was shown that stress distribution does not depend on stiffness properties [ 18 ]. This can be explained by using a linear model in simulation.…”

Section: Methodsmentioning

confidence: 99%

Numerical and Experimental Study of a Lattice Structure for Orthopedic Applications

2023

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Prosthetic reconstructions provide anatomical reconstruction to replace bones and joints. However, these operations have a high number of short- and long-term complications. One of the main problems in surgery is that the implant remains in the body after the operation. The solution to this problem is to use biomaterial for the implant, but biomaterial does not have the required strength characteristics. The implant must also have a mesh-like structure so that the bone can grow into the implant. The additive manufacturing process is ideal for the production of such a structure. The study deals with the correlation between different prosthetic structures, namely, the relationship between geometry, mechanical properties and biological additivity. The main challenge is to design an endoprosthesis that will mimic the geometric structure of bone and also meet the conditions of strength, hardness and stiffness. In order to match the above factors, it is necessary to develop appropriate algorithms. The main objective of this study is to augment the algorithm to ensure minimum structural weight without changing the strength characteristics of the lattice endoprosthesis of long bones. The iterative augmentation process of the algorithm was implemented by removing low-loaded ribs. A low-loaded rib is a rib with a maximum stress that is less than the threshold stress. Values within the range (10, 13, 15, 16, 17, 18, 19 and 20 MPa) were taken as the threshold stress. The supplement to the algorithm was applied to the initial structure and the designed structure at threshold stresses σf = 10, 13, 15, 16, 17, 18, 19 and 20 MPa. A Pareto diagram for maximum stress and the number of ribs is plotted for all cases of the design: original, engineered and lightened structures. The most optimal was the designed “lightweight” structure under the condition σf = 17 MPa. The maximum stress was 147.48 MPa, and the number of ribs was 741. Specimens were manufactured using additive manufacturing and then tested for four-point bending.

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Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design

Bolshakov,

Kharin,

Agathonov

et al. 2024

Biomimetics

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Nowadays, the interaction of additive technologies and methods for designing or optimizing porous structures has yielded good results. Construction with complex microarchitectures can be created using this approach. Varying the microarchitecture leads to changes in weight and mechanical properties. However, there are problems with geometry reconstruction when dealing with complex microarchitecture. One approach is to use Voronoi cells for geometry reconstruction. In this article, an extension of the Voronoi diagram algorithm to orthotropic space for material structural design is presented. The inputs for the method include porosity, ellipticity, and ellipticity direction fields. As an example, a beam with fixed end faces and center kinematic loading was used. To estimate robust results for different numbers of clusters, 50, 75, and 100 clusters are presented. The porosity for smoothed structures ranged from 21.5% up to 22.8%. The stress–strain state was determined for the resulting structures. The stiffness for the initial and smoothed structures was the same. However, in the case of 75 and 100 clusters, local stress factors appeared in the smoothed structure. The maximum von Mises stress decreased by 20% for all smoothed structures in the area of kinematic loading and increased by 20% for all smoothed structures in the area of end faces.

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Structural Design Method for Constructions: Simulation, Manufacturing and Experiment

Cited by 3 publications

References 34 publications

Method of computational design for additive manufacturing of hip endoprosthesis based on basic‐cell concept

Method of computational design for additive manufacturing of hip endoprosthesis based on basic‐cell concept

Numerical and Experimental Study of a Lattice Structure for Orthopedic Applications

Extension of the Voronoi Diagram Algorithm to Orthotropic Space for Material Structural Design

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