Residual Stress Estimation in Crossbores With Bauschinger Effect Inclusion Using FEM and Strain Energy Density

Author:

Badr E. A.1,Sorem J. R.2,Tipton S. M.2

Affiliation:

1. Department of Mechanical and Industrial Engineering, Lebanese American University, Byblos, Lebanon

2. Department of Mechanical Engineering, The University of Tulsa, Tulsa, OK 74104

Abstract

Crossbore intersections in liquid ends of positive displacement pumps (PDPs) have regions with high stress concentration. Due to the cyclic loading that occurs in most PDPs, these stress concentration points are susceptible to fatigue cracking. In order to prolong their life, the liquid ends are often overpressurized (autofrettaged), thus inducing beneficial compressive hoop stresses in these critical regions upon removal of the autofrettage pressure. This autofrettage process drives the region of high stress concentration beyond the elastic limit and well into the elastic-plastic region. Elastic-plastic stresses and strains due to loading and unloading were analyzed in crossbore geometries, with Bauschinger effect included, using 3-D finite element analysis of the liquid end. For comparison, an analytical approach was developed, based on the strain energy density criterion first proposed by Glinka. The approach was modified to include the Bauschinger effect for precise estimation of such stresses and strains. Good correlation was observed between elastic-plastic crossbore stresses and strains predicted by the analytical approach and the finite element analysis.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference11 articles.

1. Badr, E. A., Yang, S., Sorem, J. R., Jr., and Tipton, S. M., 1994, “Development of a Cyclic High Pressure Fatigue Test System,” High Pressure Technology, ASME PVP-Vol. 281, pp. 63–71.

2. Chaaban, A., 1985, “Static and Fatigue Design of High Pressure Vessels with Blind-Ends and Crossbores,” Ph.D. dissertation, University of Waterloo.

3. Chabaan, A., Leung, K., and Burns, D. J., 1986, “Residual Stress in Autofrettaged Thick-Walled High Pressure Vessels,” ASME PVP-Vol. 110, pp. 56–60.

4. Chen P. C. T. , 1986, “The Bauschinger and Hardening Effect on Residual Stresses in an autofrettaged Thick-Walled Cylinder,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY, Vol. 108, pp. 108–112.

5. Glinka G. , 1985, “Calculation of Inelastic Notch-Tip Stress-Strain Histories Under Cyclic Loading,” Engineering Fracture Mechanics, Vol. 22, No. 5, pp. 839–845.

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