Strength and leakage finite element analysis of a GFRP flange joint

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Abstract

The strength and leakage analysis of a glass fiber reinforced plastic (GFRP) modified stub flanged joint is presented. The analysis is carried out using three-dimensional and axisymmetric finite elements. To model the GFRP material, we use an orthotropic material model. To model the loss of contact between the flange and the gasket, we use a contact condition between these mating parts. In the axisymmetric case, we allow fluid to penetrate the area where contact is lost; the three-dimensional contact formulation, however, does not support this fluid penetration option. We use a commercial finite element package (Abaqus) to perform the analysis. The primary emphasis is on assessing the strength of the flange and the leak tightness of the gasket. Bolt interaction is not considered, therefore we assume a constant bolt load over the history of the analyses.

Introduction

Glass fiber reinforced plastic (GFRP) flanged joints are widely used in the piping and pressure vessel industries. The flanged joint is used because systems in these industries usually include pumps, valves and other fittings that require periodic removal for maintenance. GFRP materials are used as a result of their corrosion resistant properties. Flanged joints are susceptible to two failure mechanisms regardless of their material composition: material failure and leakage. Therefore, a joint must be properly designed to prevent these two failures. However, current joint design procedures to address both these failures are primarily empirical due to the complexity of the stress and leakage analyses. Previous investigations of GFRP joints have generally focused on design for strength, whereas leakage has received little attention. All except two of the previous investigations regarding strength are primarily concerned with the transfer of metallic design calculations, without accounting for the orthotropy of the composite material properties [1], [2]. Sun [3] presents stress calculations for a GFRP flange joint using lamination theory and finite element analysis; however, he did not study leakage. Godwin et al. [4] studied GFRP joint leakage by investigating the relationship between clamping force and joint sealing for stub, and full-face GFRP flanged joints using experiments and axisymmetric finite element analysis. The normal stress on the gasket was found to be the principal factor affecting the leak tightness of these joints. Finite element analysis was conducted to predict the internal pressure at which leakage occurs and the pressure distribution on the gasket. Although tensile normal stresses developed over a part of the gasket face, no flange–gasket separation was allowed, because their finite element analysis code did not support contact formulations. In this paper, we describe detailed strength and leakage three-dimensional and axisymmetric finite element analyses, in which we use a contact formulation to allow loss of contact between the mating flange and the gasket as the internal pressure increases. Also, in the axisymmetric model, we allow fluid penetration into the space where this contact loss occurs; however, this type of loading is not supported in a three-dimensional analysis. These finite element analyses are performed using the commercial finite element package Abaqus.

The analyses were performed on a modified stub flanged joint (Fig. 1). This GFRP joint is a modified version of a typical GFRP joint, the stub flanged joint, and was developed by Estrada and Parsons [5] to address some problems particular to GFRP joint geometries currently in use. The pipe and hub are filament wound as an integral unit. The metallic backing ring is used to connect the joint to other members. The joint was proportioned using the design guidelines presented in Ref. [6], and the ASME gasket design criteria; the dimensions are shown in Fig. 2.

We also attempted to validate the ASME gasket (leakage) design formulation using detailed finite element analysis for a particular joint and gasket. The formulation can easily be extended to other joint configurations and gaskets. The ASME code leakage design guidelines are based on two gasket constants, m and y factors; these are determined empirically. The yield factor y is defined as the minimum gasket stress required to cause the gasket material to deform into the flange face irregularities. The product m×p is defined as the minimum gasket stress needed to hold the joint sealed under the internal pressure p. These factors are used to determine the bolt load to be applied for an effective seal. That is, the y factor is used to determine the initial bolt load to be applied to the joint, and the m factor is used to determine the gasket pressure needed to prevent leakage while the joint is in operation. The implementation of these factors is through the calculation of the design bolt load: each factor is used to compute a bolt load, and the larger of the two is used to design the joint for strength.

The paper is organized as follows. First, we describe the evolution of leakage over the loading history of the joint and give a description of the gasket used in the analyses. We then discuss the detailed finite element analyses: we describe the three-dimensional analysis, and then discuss the analysis for the axisymmetric model. In the three-dimensional model, we make use of the cyclic symmetry of the system and only consider a 1/64 segment of the total circumference of the joint (see Fig. 2). Since Abaqus does not support pressure penetration in the three-dimensional contact analysis, we also conducted an axisymmetric analysis to properly model joint leakage. In the last part of the paper we present a summary of the results.

Section snippets

Leakage development description

A sequence of load steps depicting the loading history of the joint is shown in Fig. 3. This figure also shows the leakage development over the loading history as the contact area is lost. This contact loss between the gasket and the flange is due to flange rotation. The rotation is caused by the bolt load, the hydrostatic end load and the fluid penetrating the space where the contact is lost. In the first step, only the bolt load is applied. In this case, the gasket pressure (or contact

Gasket description

Rubber gaskets are usually used to seal GFRP joints in order to limit the bolt force required to conform the gasket to the mating GFRP surfaces. Also, these soft rubber gaskets require a low unit compression to keep joints leak tight because of their resiliency. The gasket material constants given in Section VIII of the ASME BPV code [7] are not related to engineering material constants such as Young's modulus and Poisson's ratio; however, to conduct a detailed finite element analysis of

Joint loading

Initially, only the bolt load is acting on the joint, i.e. the bolts are pre-loaded. This bolt pre-load causes an initial gasket pre-stress (the seating condition). In this state, the gasket deforms filling the irregularities on the flange face, insuring full contact over its entire surface. We do not consider this loading condition in the analysis because the load required to seat a rubber gasket is small and obviously leakage is not a problem. The internal pressure is then applied, and the

Three-dimensional finite element model

The three-dimensional finite element mesh is depicted in Fig. 5. As explained earlier, we make use of cyclic symmetry to reduce the size of the model to a 5.625° segment of the flange. 2156 second-order brick elements with reduced integration are employed throughout the mesh of the flanging system and the gasket.

The contact between the bottom of the hub and the gasket, and between the hub and the stub are modeled using contact pairs. Contact is modeled by the interaction of contact surfaces

Results and discussion

We analyzed both models using non-linear large displacement analysis. The non-linearities in the problem are due to the contract conditions and the gasket material behavior. The three-dimensional model, although only about five times larger (in terms of degrees of freedom) than the axisymmetric model, required 26 times more CPU time to run; both problems were solved in 24 load increments. A true comparison, however, cannot be made because in the axisymmetric model pressure penetration was also

Three-dimensional finite element results

Fig. 7 shows the gasket contact pressure pcontact, computed using the three-dimensional analysis. This figure clearly shows that over three-quarters of the contact between the gasket and the flange is lost. However, the pressure on the portion of the gasket that remains in contact is greater than the internal pressure, and the minimum required gasket pressure to keep the joint leak tight, i.e. the contact pressure, is greater than m×p=50 psi [9]. The contact pressure in the circumferential

Axisymmetric finite element results

Fig. 9 shows the gasket contact pressure computed using axisymmetric analysis. This figure shows that over three-quarters of the contact between the gasket and the flange is lost, which is consistent with the three-dimensional analysis. The axisymmetric analysis also predicts the pressure on the portion of the gasket that remains in contact to be greater than the internal pressure, and the minimum gasket pressure required to keep the joint leak tight.

The ASME code minimum gasket pressure to

Conclusions

The finite element method can be used to study leakage behavior and to validate the ASME code formulation for other gasket materials and joint configurations. The ASME method, although not theoretically exact, is sufficiently accurate for all practical purposes, and is far simpler to implement than the finite element formulation. The results show that the ASME gasket design guidelines provide sufficient bolt load to keep the joint leak tight. However, for critical applications, the finite

Acknowledgements

This research is funded by the National Science Foundation, grant number SBC CMS 93-15240.

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