Applied Mechanics and Materials Vols. 405-408

Abstract: Although a structural analysis of plates based on the linear elastic theory yields good results for deformations and stresses produced by working loads, it fails to assess the real load-carrying capacities of plates on the verge of yielding. In the case of a limit analysis of plates, the yield line theory is widely used on the basis of the upper bound theorem and theoretically it overestimates the strength of plates. That is why the p-version of the finite element method has been proposed for determining the accurate limit load of plates causing collapse. In this method, the hierarchical C^o -plate element for bending of elastic-plastic plates accounting for transverse shear effects has been formulated, and is based on the incremental theory of plasticity and the Reissner-Mindlin plate theory. The numerical results are presented for a variety of rectangular plate problems and are compared to the results obtained by the h-version software ADINA, as well as with the available analytical solutions in literature.

Abstract: In this paper, a new maximal element theorem is established in product GFC-spaces. As application, a new existence theorem of solutions for systems of generalized mixed vector quasi-equilibrium problems is obtained.

Abstract: The main factor, anchor damage, leading to the faults of submarine optical fiber cables (SOFC) were analyzed, and the significance of the research was illuminated on the anchor holding process. Also, the force situation of the anchor holding process was analyzed quantitatively under some assumptions; subsoil vibration characteristics caused by the anchor were analyst with mathematical modeling.

Abstract: The initial-boundary value problem for a class of nonlinear Petrovsky systems in bounded domain is studied. We prove the energy decay estimate of global solutions through the use of a difference inequality.

Abstract: High-accuracy solution of the problem of deep beam analysis is normally required in some pre-known domains (regions with the risk of significant stresses that could potentially lead to the destruction of structure, regions which are subject to specific operational requirements). The distinctive paper is devoted to correct wavelet-based multilevel discrete-continual finite element method for local analysis of deep beams with regular (in particular, constant or piecewise constant) physical and geometrical parameters (properties) in one direction. Initial discrete-continual operational formulation of the considering problem and corresponding operational formulation with the use of wavelet basis are presented. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided. Resultant multipoint boundary problem of structural mechanics for system of ordinary differential equations with piecewise-constant coefficients is given.

Abstract: The parallel computation of equation sets solution are crucial for finite element analysis. The paper discussed the key technology of FEM parallelization and the parallelization strategy for the FEM program is given; and then discussed the Data structure of Aztec and how to call Aztec which consists of Krylov subspace iterative methods solvers and preconditioners; finally, the realization and testing of the Aztec-based finite element program parallelization was put forward. Test results show that there are high efficiency of this method which make the SapTis software more powerful, flexible and adaptable.

Abstract: A moving grid nonlinear finite element method was used in this study to simulate crack propagation. The relevant elements were split along the direction of principal stress within the element and thus automatic optimization processing of local mesh was realized. We discussed the moving grid nonlinear finite element algorithm was proposed, compiled the corresponding script files based on the dedicated finite element language of Finite Element Program Generator (FEPG), and generate finite element source code programs according to the script files. Analyses show that the proposed moving grid finite element method is effective and feasible in crack propagation simulation.

Abstract: The results of the analysis of the vibration energy from impact loads varying in time using the dissipation model. On the basis of the solutions resulting from the model of the second order differential equation with variable driving function analysis was performed at the time of the FFT function of the displacement of dissipation points by the adopted and specified matrix values of the masses, elasticity and damping. Spectral analysis is based on the compounds resulting from the vibration energy proportionality, as a momentary power surge force, to the sum of the product of the squares of the displacement and squares of the vibration frequency.

Abstract: The paper presents the solution of elastic-plastic problem of the equilibrium of a thick-walled cylindrical shell under the influence of internal and external pressures. We consider a perfectly plastic material, elastic modulus and yield strength which are continuous functions of the radius. It is shown that plastic deformations may occur on both the inner surface of the shell and the inside of its wall. Defined stresses and strains in the elastic and plastic zones, as well the displacements in the shell until fracture.

Abstract: in order to research the influence of bolt pretension on the rigid flange joints stiffness further, ANSYS finite element model was built on the basis of experimental investigations, and was used to research the influence of bolt pretension on the axial rigidity, shear rigidity and bending rigidity. The calculation results indicated that the axial rigidity, shear rigidity and bending rigidity were all increased along with the increase of bolt pretension, and the increase of axial rigidity was most obvious.