Circumferential Compression Material Characterization for Pipe Collapse Load Prediction

Author(s):  
Garret Meijer ◽  
Trent Kaiser

Pipe collapse limits are controlled by circumferential compressive material response. In addition to yield strength and elastic modulus, elastic-plastic transition and plastic collapse performance of thick-wall pipes also depends on the character of yielding and post-yield hardening. Accurate characterization of all these properties is necessary to obtain a reliable estimate of collapse load. Common standardized material test methods provide convenient means to acquire basic mechanical properties (i.e., yield strength, elastic modulus and elongation) under laboratory conditions (i.e., room temperature and relatively rapid loading). However, these test methods include specimen preparation, such as pipe-wall straightening, and rapid strain rates that are known to impact material response, particularly in the yield transition and post-yield regimes that are important to elastic-plastic collapse. Therefore, these common laboratory techniques are useful for providing an index of material properties, but their simplified methodologies can have a significant impact on the accuracy of collapse performance estimates. This paper describes a circumferential compressive material testing technique, developed to complement strain-based design in the energy industry, used to demonstrate differences in pipe material response measured from circumferential compressive tests and standard axial tensile tests. This technique avoids straightening the pipe wall by plastic deformation that leads to artificial rounding of the measured stress-strain yield behavior. Strain controlled loading is used to reveal yield behaviors that may be impacted by changing strain rates under stroke and load control testing. Accurate circumferential compressive material characterization improves the identification of yield and anisotropic behaviors (tension-compression and axial-circumferential) that arise from material processing, pipe manufacturing and subsequent loading. The impact of the material response is illustrated in a numerical pipe collapse simulation that directly incorporates the measured stress-strain behavior. The impact of yield strength, stress-strain yield shape and post-yield hardening are explored. Using the measured stress-strain behavior and collapse simulation results, the sensitivity of collapse load predictions to material behavior is discussed and the requirement for accurate circumferential compressive and in-situ material characterization is demonstrated.

2007 ◽  
Vol 558-559 ◽  
pp. 441-448 ◽  
Author(s):  
Jong K. Lee

During hot working, deformation of metals such as copper or austenitic steels involves features of both diffusional flow and dislocation motion. As such, the true stress-true strain relationship depends on the strain rate. At low strain rates (or high temperatures), the stress-strain curve displays an oscillatory behavior with multiple peaks. As the strain rate increases (or as the temperature is reduced), the number of peaks on the stress-strain curve decreases, and at high strain rates, the stress rises to a single peak before settling at a steady-state value. It is understood that dynamic recovery is responsible for the stress-strain behavior with zero or a single peak, whereas dynamic recrystallization causes the oscillatory nature. In the past, most predictive models are based on either modified Johnson-Mehl-Avrami kinetic equations or probabilistic approaches. In this work, a delay differential equation is utilized for modeling such a stress-strain behavior. The approach takes into account for a delay time due to diffusion, which is expressed as the critical strain for nucleation for recrystallization. The solution shows that the oscillatory nature depends on the ratio of the critical strain for nucleation to the critical strain for completion for recrystallization. As the strain ratio increases, the stress-strain curve changes from a monotonic rise to a single peak, then to a multiple peak behavior. The model also predicts transient flow curves resulting from strain rate changes.


2019 ◽  
Vol 812 ◽  
pp. 38-44
Author(s):  
Shuai Chen ◽  
Wen Bin Li ◽  
Xiao Ming Wang ◽  
Wen Jin Yao

This work compares the pure copper (T2 copper)’s stress-strain relationship at different strain rates in the uni-axial tension test and Split Hopkinson Pressure Bar (SHPB) test. Small samples were utilized in the high strain rate SHPB test in which the accuracy was modified by numerical simulation. The experimental results showed that the T2 copper’s yield strength at high strain rates largely outweighed the quasi static yield strength. The flow stress in the stress-strain curves at different strain rates appeared to be divergent and increased with the increase in strain rates, showing great strain strengthening and strain rate hardening effects. Metallographic observation showed that the microstructure of T2 copper changed from equiaxed grains to twins and the interaction between the dislocation slip zone grain boundary and twins promoted the super plasticity distortion in T2 copper.


2014 ◽  
Vol 566 ◽  
pp. 80-85
Author(s):  
Kenji Nakai ◽  
Takashi Yokoyama

The present paper is concerned with constitutive modeling of the compressive stress-strain behavior of selected polymers at strain rates from 10-3 to 103/s using a modified Ramberg-Osgood equation. High strain-rate compressive stress-strain curves up to strains of nearly 0.08 for four different commercially available extruded polymers were determined on the standard split Hopkinson pressure bar (SHPB). The low and intermediate strain-rate compressive stress-strain relations were measured in an Instron testing machine. Six parameters in the modified Ramberg-Osgood equation were determined by fitting to the experimental stress-strain data using a least-squares fit. It was shown that the monotonic compressive stress-strain behavior over a wide range of strain rates can successfully be described by the modified Ramberg-Osgood constitutive model. The limitations of the model were discussed.


1974 ◽  
Vol 47 (2) ◽  
pp. 318-332 ◽  
Author(s):  
N. Nakajima ◽  
E. A. Collins ◽  
H. H. Bowerman

Abstract A master curve scheme for small and large deformations was developed for tensile stress-strain behavior of butadiene—acrylonitrile uncrosslinked elastomers. Measurements were carried out at strain rates of 267 to 26,700 per cent/sec at temperatures of 25 to 97° C.


1974 ◽  
Vol 47 (2) ◽  
pp. 307-317 ◽  
Author(s):  
H. H. Bowerman ◽  
E. A. Collins ◽  
N. Nakajima

Abstract A high-speed, tensile-testing device was used to determine the stress—strain behavior of uncompounded butadiene—acrylonitrile copolymers over a range of temperatures and deformation rates. The strain rates were varied from 267 to 26,700 per cent/sec and the temperature was varied from 25 to 97° C. The high-speed tester was also used for stress—relaxation measurements by applying the strain nearly instantly in conformity with theoretical requirements in order to obtain the short time behavior. The WLF equation was obtained from the stress—relaxation data and then used to reduce the ultimate properties to one temperature over four decades of the strain rates. The ultimate properties could be represented by a failure envelope similar to those obtained for vulcanizates.


2012 ◽  
Vol 2 (1) ◽  
Author(s):  
Luis Coelho ◽  
A. Batista ◽  
J. Nobre ◽  
M. Marques

AbstractX-ray diffraction assisted four-point bending method (XRDABM) enables to analyze the evolution of surface stress with the strain during bending of specimens. This experimental methodology was used to characterize the stress-strain behavior of two plasma nitriding steels, DIN 40 Cr Mn Mo 7 and DIN 32 Cr Mo V 13, with gradients of mechanical properties across the surface layers, allowing the characterization of the in-depth evolution of the local yield strength in the nitrided layer. The results show a significantly increase of the yield strength of the nitride layers and a good agreement between the in-depth evolution of the yield strength and the XRD peak breadth for the two nitrided steels.


Polymer ◽  
2007 ◽  
Vol 48 (8) ◽  
pp. 2208-2213 ◽  
Author(s):  
Sai S. Sarva ◽  
Stephanie Deschanel ◽  
Mary C. Boyce ◽  
Weinong Chen

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