Bernard K BONZI - Academia.edu (original) (raw)
Associate professor, Université Joseph K-Zerbo and INSEM Burkina Faso
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Papers by Bernard K BONZI
Method. Appl. Mech. 2023, 4, 0–17., 2023
Abstract: The attractiveness of the boundary element method—the reduction in the problem dimensi... more Abstract: The attractiveness of the boundary element method—the reduction in the problem dimension by one—is lost when solving nonlinear solid mechanics problems. The point collocation
method applied to strong-form differential equations is appealing because it is easy to implement.
The method becomes inaccurate in the presence of traction boundary conditions, which are inevitable
in solid mechanics. A judicious combination of the point collocation and the boundary integral
formulation of Navier’s equation allows a pure boundary element method to be obtained for the
solution of nonlinear elasticity problems. The potential of the approach is investigated in some simple
examples considering isotropic and anisotropic material models in the total Lagrangian framework.
Keywords: elasticity; anisotropy; large deformation; BEM; meshfree strong form; radial basis function
The study of cracking mechanisms in multilayer structures has caught our attention in this work. ... more The study of cracking mechanisms in multilayer structures has caught our attention in this work. In order to do this, we first went through a numerical validation of the method used, which is the boundary elements. The method used allowed us to improve the computation time and reduce the numerical study of a dimension, it should be noted that this work also allowed to show the effectiveness of the method to treat the problems of partially open cracks. The results presented on the study of the multilayers were obtained following the study of a four-point bending on the one hand and a localized load on the upper face of the domain on the other hand applied on the multilayer in which one took care of buried an elliptical crack. The analysis of the results was done through the stress intensity factors. These simulations allowed us to highlight the influence of the position of the crack in the field of study Keywords: Boundary elements method, sub domains, crack front2 5 T .
We studied the cracking mechanisms encountered in some material. The phenomenon of pop in has cau... more We studied the cracking mechanisms encountered in some material. The phenomenon of pop in has caught our attention. To do this we have used the Boundary Element Method which in work has proven its effectiveness in dealing with three-dimensional cracking problems. The results obtained made it possible to simulate the hertz cones. Through this work we have simulated a crack that starts from the surface towards the inside. But the pop heard in indentation during cracking lets us think that the crack will open from the bottom up. Because in the other case, the noise would be absorbed.
Method. Appl. Mech. 2023, 4, 0–17., 2023
Abstract: The attractiveness of the boundary element method—the reduction in the problem dimensi... more Abstract: The attractiveness of the boundary element method—the reduction in the problem dimension by one—is lost when solving nonlinear solid mechanics problems. The point collocation
method applied to strong-form differential equations is appealing because it is easy to implement.
The method becomes inaccurate in the presence of traction boundary conditions, which are inevitable
in solid mechanics. A judicious combination of the point collocation and the boundary integral
formulation of Navier’s equation allows a pure boundary element method to be obtained for the
solution of nonlinear elasticity problems. The potential of the approach is investigated in some simple
examples considering isotropic and anisotropic material models in the total Lagrangian framework.
Keywords: elasticity; anisotropy; large deformation; BEM; meshfree strong form; radial basis function
The study of cracking mechanisms in multilayer structures has caught our attention in this work. ... more The study of cracking mechanisms in multilayer structures has caught our attention in this work. In order to do this, we first went through a numerical validation of the method used, which is the boundary elements. The method used allowed us to improve the computation time and reduce the numerical study of a dimension, it should be noted that this work also allowed to show the effectiveness of the method to treat the problems of partially open cracks. The results presented on the study of the multilayers were obtained following the study of a four-point bending on the one hand and a localized load on the upper face of the domain on the other hand applied on the multilayer in which one took care of buried an elliptical crack. The analysis of the results was done through the stress intensity factors. These simulations allowed us to highlight the influence of the position of the crack in the field of study Keywords: Boundary elements method, sub domains, crack front2 5 T .
We studied the cracking mechanisms encountered in some material. The phenomenon of pop in has cau... more We studied the cracking mechanisms encountered in some material. The phenomenon of pop in has caught our attention. To do this we have used the Boundary Element Method which in work has proven its effectiveness in dealing with three-dimensional cracking problems. The results obtained made it possible to simulate the hertz cones. Through this work we have simulated a crack that starts from the surface towards the inside. But the pop heard in indentation during cracking lets us think that the crack will open from the bottom up. Because in the other case, the noise would be absorbed.