scholarly journals Experimental determination and finite element analysis of coefficients of the multi-parameter Williams series expansion in the vicinity of the crack tip in linear elastic materials. Part II

2021 ◽  
pp. 72-85
Author(s):  
L. V Stepanova

In this study coefficients of the multi-parameter Williams power series expansion for the stress field in the vicinity of the central crack in the rectangular plate and in the semi-circular notched disk under bending are obtained by the use of the finite element analysis. In SIMULIA Abaqus, the finite element analysis software, the numerical solutions for these two cracked geometries are found. The rectangular plate with the central crack has the geometry similar to the geometry used in the digital photoelasticity. Numerical simulations of the same cracked specimen as in the experimental photoelasticity method are performed. The numerical solutions obtained are utilized for the determination of the coefficients of the Williams series expansion. The higher-order coefficients are extracted from the finite element method calculations implemented in Simulia Abaqus software package and the outcomes are compared to experimental values. Determination of the coefficients of the terms of this series is performed using the least squares-based regression technique known as the over-deterministic method, for which stresses data obtained numerically in SIMULIA Abaqus software are taken as inputs. The plate with a small central crack has been considered either. This kind of the cracked specimen has been utilized for comparison of coefficients of the Williams series expansion obtained from the finite element analysis with the coefficients known from the theoretical solution based on the complex variable theory in plane elasticity. It is shown that the coefficients of the Williams series expansion match with good accuracy. The higher-order terms in the Williams series expansion for the semi-circular notch disk are found.

1988 ◽  
Vol 16 (2) ◽  
pp. 118-126 ◽  
Author(s):  
S. Parhizgar ◽  
E. M. Weissman ◽  
C. S. Chen

Abstract Accurate determination of stiffness properties of cord-rubber composites is a key to successful finite element analysis of tires. The Halpin-Tsai and similar equations which are used to determine stiffness properties of cord-rubber single plies from the stiffness properties of cord and rubber do not provide adequate accuracy. Determination of these properties from strains directly measured by the Moire technique is more appropriate. In this paper the disadvantages of Halpin-Tsai and similar equations as well as the advantages of the Moire technique for cord-rubber composites are discussed. The stiffness properties obtained using the above different methods are compared. These stiffness properties are then used in the finite element analysis of a two-ply cord-rubber strip. The results of the finite element analyses are compared with experimental data.


2012 ◽  
Vol 503-504 ◽  
pp. 918-922 ◽  
Author(s):  
Zhi Liu ◽  
Ke Yao ◽  
Di Wu ◽  
Dong Li ◽  
Jiu Yan Fu ◽  
...  

Conventionally, the influence of guy wire and wind load on derrick was often ignored in the static strength analysis of derrick of truck-mounted workover rig, it does not accord with the actual working conditions. This paper made the finite element analysis for one derrick of Truck-mounted workover rig through ABAQUS software. The author derive the maximum static hock load which derrick can bear, and reasonably shorten projective radius of guy wire, under different static hock load and wind load, determining the weakest position of derrick. Truck-mounted workover rigs are widely used in the filed of workover and drilling operation, due to their characteristic of power maneuverability and convenient to use. Derrick is the mainly working part of workover rig, as well as the weak links of workover. In order to guarantee relatively high security performance, we should accurately make simulated calculation for carrying capacity of derrick in the process of designing. The author derive the maximum static hock load which derrick can bear, and reasonably shorten projective radius of guy wire, by using the ABAQUS FEM system, apply for statics analysis of derrick under different static hock load and wind load.


2012 ◽  
Vol 557-559 ◽  
pp. 830-834
Author(s):  
Rong Ping Cao ◽  
Hong Lei Yi

The finite element analysis (FEA) has been widely used in research and production. It is well known that ABAQUS software is famous for its capacity of solving nonlinear problems. Create the test specimen model that is based on biaxial cross tensile test specimen of woven architectural membrane material by the ABAQUS software. The effects of the fillet radius(R), the width of the specimen (W), the length (L) and the number (N) of the crack are considered. It is found that while the whole specimen is 180*180mm it is most uniform when the R is 5mm, the W is 60mm, the L is about 60mm and the N is 5.


1997 ◽  
Vol 32 (3) ◽  
pp. 183-191 ◽  
Author(s):  
J Jönsson ◽  
E Svensson ◽  
J T Christensen

A theoretical basis for quasi static determination of wheel—rail interaction forces using strain measures in the foot of the rail is given. Vlasov's theory for thin-walled beams is used in combination with continuous translational and rotational elastic supports based on smoothing out the stiffness of the rail sleepers. The smoothing out of the rotational elastic support has traditionally not been done. The use of this model is validated by the decay lengths of the problem and through finite element analysis. The finite element analysis is performed using discrete sleeper stiffness and Vlasov beam elements. The sensitivity of the measuring technique to parameter variations is illustrated and an example shows the simplicity of the proposed direct measuring technique.


2009 ◽  
Vol 76-78 ◽  
pp. 392-397 ◽  
Author(s):  
Sheng Liu ◽  
Yuan Tong Gu ◽  
Han Huang

A deconvolution method that combines nanoindentation and finite element analysis was developed to determine elastic modulus of thin coating layer in a coating-substrate bilayer system. In this method, the nanoindentation experiments were conducted to obtain the modulus of both the bilayer system and the substrate. The finite element analysis was then applied to deconvolve the elastic modulus of the coating. The results demonstrated that the elastic modulus obtained using the developed method was in good agreement with that reported in literature.


2016 ◽  
Vol 20 (suppl. 5) ◽  
pp. 1561-1571
Author(s):  
Milos Milosevic ◽  
Milan Banic ◽  
Dusan Stamenkovic ◽  
Vukasin Pavlovic ◽  
Misa Tomic ◽  
...  

This paper presents an innovative method for determining the distribution of the friction generated heat from the contact of a locomotive wheel and rail, as well as the heat partition factor, during wheel slipping of an accelerating locomotive. The new method combines the finite element analysis simulation and experimental determination of the temperature distribution in a downsized model of a wheel and rail. As a result of a virtual experiment by the finite element analysis, an empirical dependence between the temperature distribution and the heat partition factor was established. The determination of the dependence enabled finding of the exact value of the heat partition factor by the optimization procedure based on matching temperatures obtained by the virtual and real experiment.


1985 ◽  
Vol 13 (3) ◽  
pp. 127-146 ◽  
Author(s):  
R. Prabhakaran

Abstract The finite element method, which is a numerical discretization technique for obtaining approximate solutions to complex physical problems, is accepted in many industries as the primary tool for structural analysis. Computer graphics is an essential ingredient of the finite element analysis process. The use of interactive graphics techniques for analysis of tires is discussed in this presentation. The features and capabilities of the program used for pre- and post-processing for finite element analysis at GenCorp are included.


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