An Axisymmetric Method of Elastic-Plastic Analysis Capable of Predicting Residual Stress Field

Abstract

Linear elastic solution of an axisymmetric boundary value problem is used as a basis to generate its inelastic solution. This method treats the material parameters as field variables. Their distribution is obtained as a part of solution in an iterative manner. Two schemes of updating material parameters are discussed and compared. A procedure for calculation of residual stress field is presented. Application of the method to autofrettage is presented. Residual stress calculation based on actual material curve, isotropic and kinematic hardening models, and variable Bauschinger effect factor (BEF) is carried out. It is concluded that consideration of dependency of BEF on plastic strain makes significant changes to residual hoop stress near the bore for low-level autofrettage. However, this dependency is insignificant for high-level autofrettage. Results obtained here are shown to be in good agreement with experimental and finite element results.

An asymmetric elastic–plastic analysis of the load-controlled rotating bending test and its application in the fatigue life estimation of wrought magnesium AZ31B

“…The center of each element is the location for representing the state of stress and strain on that element. Using the VMP method [11,18] and the actual cyclic stress-strain curves of the material in tension and compression, results of linear elastic solution are resolved to the real elastic-plastic solution. In the VMP method, plasticity is modeled through degrading material properties at material points with plastic states of stress.…”

“…The solution consists of the following steps. After the first solution (elastic solution), the value of the effective Young's modulus for each element is replaced by the Secant modulus, calculated using the projection method [11] ( Figure 8). The state of stress and strain of all elements after the hypothetical elastic solution is represented by line OA, in Figure 8.…”

“…A simple method is proposed for elastic-plastic analysis of specimens in the RBT. This method is based on the Variable Material Properties (VMP) method of Jahed and Dubey [11]. The method uses the cyclic stress-strain curves to find the stress response of a load-controlled test for a material with asymmetric properties.…”

Elasto-Plastic Stress Analysis in Rotating Disks and Pressure Vessels Made of Functionally Graded Materials

“…They proposed an iterative method for solving the nonlinear system, combining a finite element approximation and an incremental-iterative scheme. Haghpanah et al (2009Haghpanah et al ( , 2010 extended the Variable Material Property (VMP) method developed by Jahed and Dubey (1997) for materials with varying elastic and plastic properties. In the VMP method, the linear elastic solution of a boundary value problem is used as a basis to generate the inelastic solution.…”

Elastic-plastic analysis of pressure vessels and rotating disks made of functionally graded materials using the isogeometric approach

“…They proposed an iterative method for solving the nonlinear system combining a finite element approximation and an incremental-iterative scheme. Haghpanah Jahromi et al (2009Jahromi et al ( , 2010 extended the Variable Material Property (VMP) method developed by Jahed and Dubey (1997) for materials with varying elastic and plastic properties. In the VMP method, the linear elastic solution to the boundary value problem was used as a basis to generate the inelastic solution.…”