Fracture Mechanics Assessment of Cracks in Areas of Large Scale Plasticity in Subsea HPHT Equipment

2021 ◽  
Author(s):  
Mandar Kulkarni ◽  
Carlos Lopez ◽  
Daniel Kluk ◽  
John Chappell

Abstract Subsea HPHT components may be evaluated utilizing a fracture mechanics-based approach as per guidelines in API RP 17TR8 and ASME Section VIII Division 3. Typically, the assessment is performed based on methods described in API 579-1/ASME FFS-1 and BS7910. The analysis is performed to determine critical flaw sizes and estimate the fatigue life of a growing crack as a means of establishing inspection intervals for the equipment. In most cases, the assessment is based on a linear elastic fracture mechanics approach. The effect of plasticity is generally included via the use of a failure assessment diagram (FAD); however, even with this approach the effect of plastic strain around the crack is not explicitly considered. The assessment standards do not provide clear guidance for cases involving a crack which is located within a region of large-scale plastic strain. For these cases, API 579, Annex 9G.5 recommends utilizing a driving force method whereby the J-integral is directly evaluated from an elastic-plastic finite element model. This paper presents such an approach. A simplified representative geometry is considered for this study. A region of a stress concentration, such as is typically encountered near an internal radius is considered. Such a region can potentially show localized plasticity. J-integral is calculated by explicitly modeling a series of cracks of increasing depth through this zone of plasticity and the results are compared to the different methodologies described in API 579-1/ASME FFS-1 and BS7910. Cracks are modeled both completely and partially enveloped within the plastic zone. Results are summarized and compared, highlighting the key differences between different analysis approaches with the aim of identifying the most conservative assessment method for different crack sizes. Additionally, the effect of large-scale plasticity on the crack driving force is determined relative to similar conditions without plasticity. The results indicate that for cracks lying within the regions of localized plasticity, using an API579 Level 2 approach coupled with extracting elastic-plastic through wall stresses from an uncracked geometry may result in significant under prediction of the driving force. Conversely, extracting linear elastic stresses from an uncracked geometry may significantly over predict the driving force and may prove too conservative for determining acceptable crack sizes. This paper presents a comprehensive comparison of different analysis approaches used for evaluating cracks in subsea equipment. The results indicate that, for HPHT equipment with increased safety implications, a detailed elastic plastic fracture mechanics evaluation of the cracked geometry should be performed for cases in which localized plasticity is expected to occur.

2021 ◽  
Author(s):  
Mandar Kulkarni ◽  
Carlos Lopez ◽  
Daniel Kluk ◽  
John Chappell

Abstract Fracture mechanics assessments for pressure vessels are performed to determine critical flaw sizes and/or estimate the fatigue life of a growing crack as a means of establishing inspection intervals for the equipment. In most cases the evaluation is performed based on methods described in API 579-1/ASME FFS-1 and BS7910. The approaches described in these standards are mostly based on a linear elastic fracture mechanics approach. Even though plasticity can be accounted for by using a failure assessment diagram (FAD); however, even with this approach the effect of plastic strain around the crack is not explicitly considered. This paper presents an approach as per API 579, Annex 9G.5 which recommends utilizing a driving force method whereby the J-integral is directly evaluated from an elastic-plastic finite element model. The main goal is to study differences between the FAD approach against the elastic-plastic J-integral approach wherein the crack is modeled explicitly. Simplified representative geometries are considered for this study. Two scenarios for the plastic zone are considered a) crack present during initial loading with no residual plastic strain and b) crack in a residual stress zone. Different crack sizes are considered for this comparison study ranging from small cracks completely embedded within the plastic region and larger cracks with partial embedment. The paper presents comparison studies which highlight the key differences between different analysis approaches with the aim of identifying the most conservative assessment method for different crack geometries.


Author(s):  
Michael C. Smith ◽  
Peter J. Bouchard ◽  
Martin R. Goldthorpe ◽  
Didier Lawrjaniec

The residual stress field around a single-pass weld filling a slit in a thin rectangular plate has been simulated using both 2D ABAQUS and 3D SYSWELD finite element models, with good agreement between the two codes. Through-wall cracks of varying lengths have been inserted into the plate along the weld centre-line, and the non-linear crack driving force due to residual stress evaluated using three formulations of the J-integral: the standard ABAQUS J, the G-theta approach coded into SYSWELD, and a modified J-integral, Jmod, that retains its path independence under non-proportional loading. Cracks were introduced into the FE meshes either simultaneously (all crack flank nodes released in the same step) or progressively (crack opened in small increments from mid-length to tip). The results were compared with crack driving force estimates made using linear elastic fracture mechanics (LEFM) and the R6 procedure. The crack driving forces predicted by all three J–formulations agree well for simultaneous opening, showing that the crack driving force rises to a peak for a crack length equal to the weld length, and falls for longer cracks. Linear elastic fracture mechanics gives a good estimate of the crack driving force for very short defects (confirming the absence of elastic follow up), but is conservative for longer defects, overestimating the peak driving force by 20%. The R6 estimates, which incorporate plasticity corrections, are more conservative than LEFM, overestimating the peak crack driving force by up to 60%. The crack driving force for a progressively opened crack is much lower than for simultaneous opening, indicating that there may be considerable excess pessimism in conventional assessments of defects of this type.


Author(s):  
S. J. Lewis ◽  
C. E. Truman ◽  
D. J. Smith

This article describes an investigation into the ability of a number of different fracture mechanics approaches to predict failure by brittle fracture under general elastic/plastic loading. Data obtained from C(T) specimens of A508 ferritic steel subjected to warm pre-stressing and side punching were chosen as such prior loadings produce considerably non-proportionality in the resulting stress states. In addition, failure data from a number of round notched bar specimens of A508 steel were considered for failure with and without prior loading. Failure prediction, based on calibration to specimens in the as received state, was undertaken using two methods based on the J integral and two based on local approach methodologies.


2021 ◽  
pp. 1-10
Author(s):  
Waseem Ur Rahman ◽  
Rafiullah khan ◽  
Noor Rahman ◽  
Ziyad Awadh Alrowaili ◽  
Baseerat Bibi ◽  
...  

BACKGROUND: Understanding the fracture mechanics of bone is very important in both the medical and bioengineering field. Bone is a hierarchical natural composite material of nanoscale collagen fibers and inorganic material. OBJECTIVE: This study investigates and presents the fracture toughness of bovine cortical bone by using elastic plastic fracture mechanics. METHODS: The J-integral was used as a parameter to calculate the energies utilized in both elastic deformation (Jel) and plastic deformation (Jpl) of the hipbone fracture. Twenty four different types of specimens, i.e. longitudinal compact tension (CT) specimens, transverse CT specimens, and also rectangular unnotched specimens for tension in longitudinal and transverse orientation, were cut from the bovine hip bone of the middle diaphysis. All CT specimens were prepared according to the American Society for Testing and Materials (ASTM) E1820 standard and were tested at room temperature. RESULTS: The results showed that the average total J-integral in transverse CT fracture specimens is 26% greater than that of longitudinal CT fracture specimens. For longitudinal-fractured and transverse-fractured cortical specimens, the energy used in the elastic deformation was found to be 2.8–3 times less than the energy used in the plastic deformation. CONCLUSION: The findings indicate that the overall fracture toughness measured using the J-integral is significantly higher than the toughness calculated by the stress intensity factor. Therefore, J-integral should be employ to compute the fracture toughness of cortical bone.


Author(s):  
Lallit Anand ◽  
Sanjay Govindjee

This chapter introduces the concept of energy release rates for linear elastic fracture mechanics. The concept of an energy release rate is defined and related to the criteria of Griffith with application in the context of bodies with point loads. Eshelby’s energy momentum tensor is also introduced and Rice’s path independent J-integral is derived, related to energy release rate, and applied to fracture problems.


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