A physical value mapping (PVM) algorithm based on finite element mesh from the stamped part in stamping process to the product is presented, In order to improve the efficiency of the PVM algorithm, a search way from...A physical value mapping (PVM) algorithm based on finite element mesh from the stamped part in stamping process to the product is presented, In order to improve the efficiency of the PVM algorithm, a search way from the mesh of the product to the mesh of the stamped part will be adopted. At the same time, the search process is divided into two steps: entire search (ES) and local search (LS), which improve the searching efficiency. The searching area is enlarged to avoid missing projection elements in ES process. An arc-length method is introduced in LS process. The validity is confirmed by the results of the complex industry-forming product.展开更多
Limit equilibrium method (LEM) and strength reduction method (SRM) are the most widely used methods for slope stability analysis. However, it can be noted that they both have some limitations in practical applicat...Limit equilibrium method (LEM) and strength reduction method (SRM) are the most widely used methods for slope stability analysis. However, it can be noted that they both have some limitations in practical application. In the LEM, the constitutive model cannot be considered and many assumptions are needed between slices of soil/rock. The SRM requires iterative calculations and does not give the slip surface directly. A method for slope stability analysis based on the graph theory is recently developed to directly calculate the minimum safety factor and potential critical slip surface according to the stress results of numerical simulation. The method is based on current stress state and can overcome the disadvantages mentioned above in the two traditional methods. The influences of edge generation and mesh geometry on the position of slip surface and the safety factor of slope are studied, in which a new method for edge generation is proposed, and reasonable mesh size is suggested. The results of benchmark examples and a rock slope show good accuracy and efficiency of the presented method.展开更多
The safety evaluation of engineering systems whose performance evaluation requires finite element analysis is a challenge in reliability theory.Recently,Adjusted Control Variates Technique(ACVAT)has proposed by the au...The safety evaluation of engineering systems whose performance evaluation requires finite element analysis is a challenge in reliability theory.Recently,Adjusted Control Variates Technique(ACVAT)has proposed by the authors to solve this issue.ACVAT uses the results of a finite element method(FEM)model with coarse mesh density as the control variates of the model with fine mesh and efficiently solves FEM-based reliability problems.ACVAT however does not provide any results about the reliability-based mesh convergence of the problem,which is an important tool in FEM.Mesh-refinement analysis allows checking whether the numerical solution is sufficiently accurate,even though the exact solution is unknown.In this study,by introducing expanded control variates(ECV)formulation,ACVAT is improved and the capabilities of the method are also extended for efficient reliability mesh convergence analysis ofFEM-based reliability problems.In the present study,the FEM-based reliability analyses of four practical engineering problems are investigated by this method and the corresponding results are compared with accurate results obtained by analytical solutions for two problems.The results confirm that the proposed approach not only handles the mesh refinement progress with the required accuracy,but it also reduces considerably the computational cost of FEM-based reliability problems.展开更多
In this paper we study the convergence of adaptive finite element methods for the gen- eral non-attine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ...In this paper we study the convergence of adaptive finite element methods for the gen- eral non-attine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and D6fler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Qm elements which covers both the two- and three-dimensional cases in a unified fashion.展开更多
基金This project is supported by National Natural Science Foundation ofChina(No.l9832020) and National Outstanding Youth Science Foundation ofChina(No.10125208).
文摘A physical value mapping (PVM) algorithm based on finite element mesh from the stamped part in stamping process to the product is presented, In order to improve the efficiency of the PVM algorithm, a search way from the mesh of the product to the mesh of the stamped part will be adopted. At the same time, the search process is divided into two steps: entire search (ES) and local search (LS), which improve the searching efficiency. The searching area is enlarged to avoid missing projection elements in ES process. An arc-length method is introduced in LS process. The validity is confirmed by the results of the complex industry-forming product.
基金support of the National Natural Science Foundation of China (Grant No. 41130751)China Scholarship Council, Research Program for Western China Communication (Grant No. 2011ZB04)China Central University Funding
文摘Limit equilibrium method (LEM) and strength reduction method (SRM) are the most widely used methods for slope stability analysis. However, it can be noted that they both have some limitations in practical application. In the LEM, the constitutive model cannot be considered and many assumptions are needed between slices of soil/rock. The SRM requires iterative calculations and does not give the slip surface directly. A method for slope stability analysis based on the graph theory is recently developed to directly calculate the minimum safety factor and potential critical slip surface according to the stress results of numerical simulation. The method is based on current stress state and can overcome the disadvantages mentioned above in the two traditional methods. The influences of edge generation and mesh geometry on the position of slip surface and the safety factor of slope are studied, in which a new method for edge generation is proposed, and reasonable mesh size is suggested. The results of benchmark examples and a rock slope show good accuracy and efficiency of the presented method.
文摘The safety evaluation of engineering systems whose performance evaluation requires finite element analysis is a challenge in reliability theory.Recently,Adjusted Control Variates Technique(ACVAT)has proposed by the authors to solve this issue.ACVAT uses the results of a finite element method(FEM)model with coarse mesh density as the control variates of the model with fine mesh and efficiently solves FEM-based reliability problems.ACVAT however does not provide any results about the reliability-based mesh convergence of the problem,which is an important tool in FEM.Mesh-refinement analysis allows checking whether the numerical solution is sufficiently accurate,even though the exact solution is unknown.In this study,by introducing expanded control variates(ECV)formulation,ACVAT is improved and the capabilities of the method are also extended for efficient reliability mesh convergence analysis ofFEM-based reliability problems.In the present study,the FEM-based reliability analyses of four practical engineering problems are investigated by this method and the corresponding results are compared with accurate results obtained by analytical solutions for two problems.The results confirm that the proposed approach not only handles the mesh refinement progress with the required accuracy,but it also reduces considerably the computational cost of FEM-based reliability problems.
基金supported by the Special Funds for Major State Basic Research Project (No. 2005CB321701)
文摘In this paper we study the convergence of adaptive finite element methods for the gen- eral non-attine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and D6fler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Qm elements which covers both the two- and three-dimensional cases in a unified fashion.