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Original Articles

Cavity detection in biomechanics by an inverse evolutionary point load BEM technique

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Pages 981-993 | Received 16 Apr 2007, Accepted 30 Nov 2007, Published online: 08 Nov 2008

Figures & data

Figure 1. Simulation of elliptical surface with an incoming parallel flow by singularities superposition.

Figure 1. Simulation of elliptical surface with an incoming parallel flow by singularities superposition.

Figure 2. Geometric arrangement of points loads with a non-uniform elastic energy flow.

Figure 2. Geometric arrangement of points loads with a non-uniform elastic energy flow.

Figure 3. Geometry and conditions for square section with centred-circular hole. (a) Top cavity case; (b) Right-hand cavity case.

Figure 3. Geometry and conditions for square section with centred-circular hole. (a) Top cavity case; (b) Right-hand cavity case.

Figure 4. Discretization of square section with centred-hole cases. (a) Top cavity case; (b) Right-hand cavity case.

Figure 4. Discretization of square section with centred-hole cases. (a) Top cavity case; (b) Right-hand cavity case.

Figure 5. Displacement contours of square section with centred-hole cases. (a) Top cavity case; (b) Right-hand cavity case.

Figure 5. Displacement contours of square section with centred-hole cases. (a) Top cavity case; (b) Right-hand cavity case.

Figure 6. Evolution of the objective function for the square section with centred-hole case with the top cavity. (a) Evolution of objective function S1; (b) Evolution of objective function S2.

Figure 6. Evolution of the objective function for the square section with centred-hole case with the top cavity. (a) Evolution of objective function S1; (b) Evolution of objective function S2.

Figure 7. Evolution of the objective function for the square section with centred-hole case with the right-hand cavity. (a) Evolution of objective function S1; (b) Evolution of objective function S2.

Figure 7. Evolution of the objective function for the square section with centred-hole case with the right-hand cavity. (a) Evolution of objective function S1; (b) Evolution of objective function S2.

Figure 8. Cavity prediction after 2000 generations of the optimization process for the square section with centred-hole cases. (a) Top cavity case; (b) Right-hand cavity case.

Figure 8. Cavity prediction after 2000 generations of the optimization process for the square section with centred-hole cases. (a) Top cavity case; (b) Right-hand cavity case.

Figure 9. Geometry and boundary conditions for the femur cross-section case.

Figure 9. Geometry and boundary conditions for the femur cross-section case.

Figure 10. Displacement contours for the femur cross-section case.

Figure 10. Displacement contours for the femur cross-section case.

Figure 11. Evolution of the objective function for the femur cross-section case. (a) evolution of objective function S1; (b) evolution of objective function S2.

Figure 11. Evolution of the objective function for the femur cross-section case. (a) evolution of objective function S1; (b) evolution of objective function S2.

Figure 12. Cavity prediction after 500 generations of the optimization process for the femur cross-section cases.

Figure 12. Cavity prediction after 500 generations of the optimization process for the femur cross-section cases.

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