Development of Finite Element Techniques for Three-Dimensional Analyses of Thermo-Piezoelectric Materials

2002 ◽  
Vol 125 (1) ◽  
pp. 18-21 ◽  
Author(s):  
Fulin Shang ◽  
Meinhard Kuna ◽  
Matthias Scherzer

The development and application of smart structures and smart composite materials require efficient numerical tools to analyze the thermo-piezoelectric behavior and stress state. In this paper, finite element (FE) techniques are suggested for three-dimensional coupled thermo-electro-mechanical analyses. The actual thermo-piezoelectric responses of smart structures subjected to thermal loadings can be determined by adopting a procedure TPESAP. The detailed implementation is presented with emphasis on the integration with software ABAQUS. A benchmark problem is discussed afterwards.

Author(s):  
Baoxin Yuan ◽  
Herong Zeng ◽  
Wankui Yang ◽  
Songbao Zhang

The finite element method based on unstructured mesh has good geometry adaptability, it has been used to solve reactor physics problems, manual description of geometric modeling and meshing makes the current finite element code very complicated, it greatly restricts the application of this method in the numerical calculation of reactor physics. Using the CAD pre-processing software ICEM-CFD, three dimensional geometry is divided into tetrahedral or hexahedral meshes, two dimensional geometry is divided into triangular or quadrilateral meshes, the main code of neutron calculation for nuclear noise analysis based on finite element method is developed. The steady state parameters are calculated and tested through benchmark problem, the test results show that the code has the corresponding computing capabilities. Finally, the neutron noise spectrum is calculated for the 3D PWR benchmark problem published by IAEA, and the noise distribution under given frequency is given.


1996 ◽  
Vol 118 (4) ◽  
pp. 399-406 ◽  
Author(s):  
W. J. Koves ◽  
S. Nair

A specialized shell-intersection finite element, which is compatible with adjoining shell elements, has been developed and has the capability of physically representing the complex three-dimensional geometry and stress state at shell intersections (Koves, 1993). The element geometry is a contoured shape that matches a wide variety of practical nozzle configurations used in ASME Code pressure vessel construction, and allows computational rigor. A closed-form theory of elasticity solution was used to compute the stress state and strain energy in the element. The concept of an energy-equivalent nodal displacement and force vector set was then developed to allow complete compatibility with adjoining shell elements and retain the analytical rigor within the element. This methodology provides a powerful and robust computation scheme that maintains the computational efficiency of shell element solutions. The shell-intersection element was then applied to the cylinder-sphere and cylinder-cylinder intersection problems.


Materials ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2380
Author(s):  
Philipp Metsch ◽  
Raphael Schiedung ◽  
Ingo Steinbach ◽  
Markus Kästner

Within this contribution, a novel benchmark problem for the coupled magneto-mechanical boundary value problem in magneto-active elastomers is presented. Being derived from an experimental analysis of magnetically induced interactions in these materials, the problem under investigation allows us to validate different modeling strategies by means of a simple setup with only a few influencing factors. Here, results of a sharp-interface Lagrangian finite element framework and a diffuse-interface Eulerian approach based on the application of a spectral solver on a fixed grid are compared for the simplified two-dimensional as well as the general three-dimensional case. After influences of different boundary conditions and the sample size are analyzed, the results of both strategies are examined: for the material models under consideration, a good agreement of them is found, while all discrepancies can be ascribed to well-known effects described in the literature. Thus, the benchmark problem can be seen as a basis for future comparisons with both other modeling strategies and more elaborate material models.


Author(s):  
Igor Martynov ◽  
Alena Trufanova ◽  
Vadim Petukhov ◽  
Vadim Shovkun

The paper considers the results of calculations of the axle of the wheel pair of apassenger car for strength and durability from fatigue. The loads acting on the axle of a passengercar during movement at the maximum permissible speed are determined.To solve the problems of studying the stress state of the axle of the passenger car at the firststage, a three-dimensional geometric model of the axis RU1 was developed. The most unfavorableload combination was taken into account in the calculation. The horizontal load was up to 10 kN.The load was applied to the axle necks, respectively, in the vertical and horizontal directions.The calculated model of the car axle RU1 is developed, on the basis of which the finiteelementmodel is created and the stress state of the wheel pair under the action of the main types ofload is investigated. The size of the finite element grid was chosen using a graphoanalytical methodand refined to a size of 2 mm. This feature of the finite element grid allowed to calculate thestresses in the calculated cross sections with greater accuracy and to determine the nature of thestress distribution.It is established that the maximum stresses arising in the axle of the passenger car under the most unfavorable work conditions that are concentrated in the filler in the zone oftransition from the neck to the pre-axle part.The axle was calculated for fatigue. Fatigue tests are usually performed at a uniaxial stressstate, so it is necessary to convert the multiaxial stress state to one scalar value to determine thenumber of cycles to failure at a given voltage amplitude. The load can occur with a constantamplitude.The number of load cycles that the car axle can withstand under operating loads isdetermined. According to the results of the research, restrictions on the service life of the axles ofwheel pairs of passenger cars are proposed.


2015 ◽  
Vol 733 ◽  
pp. 472-477
Author(s):  
Chun Tao Wang

At present, many hydropower stations eliminate the expansion joints to solve the pipe leakage problem. It’s very important to control the welding environment temperatures in eliminating the final weld joint of the expansion joints. To address this problem, by adopting three-dimensional finite element model in studying the hydro project of Wanjiazhai, this paper analyzes the stress state of steel pipe in all welding environment temperatures in details and suggests the proper range of welding environment temperatures. Researchers suggest that May is suitable to perform welding.


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