Augmented upper bound element technique for prediction of temperature and strain in forgings

Moller, James C.; Tran, Linh V.; Shrader, Donald; Douglas, J. R.; Kuhlman, G.W.

doi:10.1016/j.jmatprotec.2004.03.021

Cited by 6 publications

(2 citation statements)

References 12 publications

(13 reference statements)

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“…Amongst those are: Fox and Lee (1989), Na and Cho (1989), Cho and Kim (1990), Mulki and Mizuno (1996), Kimura and Childs (1999), Pater (1999), Garmestani et al (2001) and Chai (2003). Later more related works on the use of upper bound method in some tenacious patterns are reported, notably, the work of Bona (2004), Es-Saheb (2004) and Moller et al (2004), as well as Ebrahimi and Najafizadeh (2004). Also, in the civil engineering field, the upper bound method is widely used in predicting and estimating the loads in the foundations and footings of different shapes, as reported in the last few years, by Zhu and Michalowski (2005), Merifield and Nguyen (2006), Gourvenec et al (2006), Gourvenec (2007), Zhang (2008), Dean (2008) and Yilmaz and Bakir (2009) and most recently by Arabshahi et al (2010), as well as Majidi et al (2011) and Veiskarami et al (2011).…”

Section: Introductionmentioning

confidence: 99%

Analyses of Plane-strain Compression Using the Upper Bound Method

Es-Saheb¹,

Al-Witry²,

Albedah³

2013

RJASET

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Traditional upper bound analyses for plane-strain compression leads to low load prediction values, for a large ratio range of contact Length (L) to thickness (h). These predicted load values are based on deformation fields consisted of rigid regions separated by planes upon which discrete shear occurs. In this study, the relatively simple deformation fields consisted of odd number of triangles such like, 1, 3 and 5, are used. A general minimum solution for this class of upper bounds is derived and found to occur when the base of the center triangle (w) [= 2L/ (n+1)], where n is an odd integer ≥3. Consequently, whether still lower values would occur with this class of field when the ratio(R), of the field triangles side lengths is varied, has been systematically investigated. Thus, the upper bound loads are calculated over a wide range of the ratio (R) and the deformation field parameters. These parameters include the thickness (h) the contact Length (L) and the base of the center triangle (w). It is found that, all the minimum load values occur at unity R ratio and the minimum values of h, L and w. The minimum values obtained for hopt, Lopt and wopt are 1.466, 3.266 and 2.0 units, respectively. Also, the corresponding overall minimum optimal upper bound value found is P/2k = 1.93.

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Section: Introductionmentioning

confidence: 99%

Analyses of Plane-strain Compression Using the Upper Bound Method

Es-Saheb¹,

Al-Witry²,

Albedah³

2013

RJASET

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“…The relationship between the temperature and the dimensional change was obtained based on the limit stress. James et al [18] proposed a new approach to elemental effective strain rate calculation based on the upper bound element technique. This approach predicted the effective dimensional change and temperature distribution during forging process.…”

Section: Introductionmentioning

confidence: 99%

The interplay between the measured dimension and temperature of hot large forgings

Zhang

et al. 2015

Int J Adv Manuf Technol

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During the forming process of hot forgings, the dimension and temperature are key parameters for improving the forging technology. In the paper, based on the mathematical physics methods, a mutual relationship model between the measured dimension and the temperature is proposed. This relationship model is displayed by the temperature field model and the dimensional model. Firstly, according to the law of conversation of energy, using the Dirichlet function and the measured dimension, the power-transfer function of heat source is established. Taking the measured temperatures as the boundary conditions, the temperature field model influenced by the dimensional change is established using the method of the moving virtual heat source. Secondly, based on the variation characteristics between the mesoscopic structure and the stress, using the function of the deformation energy is analyzed. Using the differential calculus of the pluralistic function, the dimensional change model influenced by the measured temperature is established. Based on the temperature field model and the dimensional model, this mutual relationship of the two ones can be clearly and directly displayed. Finally, the verifiable experiments and simulations are obtained using the forging experiments and the Deform-3D. Using the contrastive analysis method, the feasibility of the two relationship models is verified and the change trends of the dimension and temperature are analyzed. Combining the parameters of the forging technology in the thermal forming process, the application and the practical significance of the model are further cleared. The mutual relationship model provides a theoretical basis for improving the forging technology.

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Temperature field detection model based on the dimensional change during the thermal forging process

Zhang

2015

Applied Thermal Engineering

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Augmented upper bound element technique for prediction of temperature and strain in forgings

Cited by 6 publications

References 12 publications

Analyses of Plane-strain Compression Using the Upper Bound Method

Analyses of Plane-strain Compression Using the Upper Bound Method

The interplay between the measured dimension and temperature of hot large forgings

Temperature field detection model based on the dimensional change during the thermal forging process

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