Efficient, scale-bridging simulation of ductile failure in a burst test using damage mechanics

2020 ◽  
Vol 188 ◽  
pp. 104242
Author(s):  
Victoria Brinnel ◽  
Simon Schaffrath ◽  
Sebastian Münstermann ◽  
Markus Feldmann
Author(s):  
Ming Liu ◽  
Yong-Yi Wang

Pipelines experiencing displacement-controlled loading need to have adequate strain capacity. Large tensile strain capacity can only be achieved when the failure processes are ductile. In ductile failure analyses, the strain capacity may be determined by two approaches. The first approach uses the conventional fracture mechanics criteria, such as the attainment of the critical crack tip opening displacement, to assess the onset of the crack propagation. The other approach uses damage mechanics models in which the onset and propagation of cracks are controlled by the nucleation, growth, and coalescence of voids in the material. The damage mechanics models can provide some insights of the ductile failure processes as they have more physical mechanisms built in the constitutive model. In this paper, the Gurson-Tvergaard-Needleman (GTN) model is applied to two types of low-constraint tests: curved wide plates and back-bend specimens. The wide plate test is considered more representatives of full-scale pipes than the conventional laboratory-sized specimens, but requires large-capacity machines. The back-bend test is a newly developed low-constraint laboratory-sized test specimen. A relatively simple approach to determine the damage parameters of the GTN model is discussed and the transferability of damage parameters between those two test types is also analyzed.


2019 ◽  
Vol 141 (4) ◽  
Author(s):  
Petr Kubík ◽  
František Šebek ◽  
Josef Zapletal ◽  
Jindřich Petruška ◽  
Tomáš Návrat

Abstract The ductile failure predictions have been an issue in many engineering applications. It begins with a design of machines and tools, continues with an evaluation of manufacturing processes, and last but not least ends with the assessment of various structures. The paper deals with a predictability of used criteria for a random structure of aluminum alloy 2024-T351, which was performed under the conditions of room temperature three-point bending. The bi-failure mode creates a space for the numerical studies of various approaches and gives an insight into the model performance. The plasticity was described by Lode-dependent yield criterion, which was coupled with several pressure and Lode-dependent fracture models to form a continuum damage mechanics approach via the material weakening. It was incorporated through a nonlinear damage accumulation, which was finally implemented using Fortran 77 subroutine into abaqus/explicit. All the models exhibited a good ability of crack onset prediction in terms of the force responses and realistic predictability of the crack propagation. The field of deformations was successfully compared with experimental data obtained by an optical method.


1990 ◽  
Vol 112 (4) ◽  
pp. 412-421 ◽  
Author(s):  
C. L. Chow ◽  
K. Y. Sze

A recently developed anisotropic model of continuum damage mechanics has been applied successfully to characterize ductile fracture of cracked plates under mode I and mixed mode failures. The damage model is further extended in this investigation to examine its applicability to include notch ductile fracture of thin plates containing a circular hole. Two hole sizes of 16 mm and 24 mm diameters are chosen and the specimen material is aluminum alloy 2024-T3. Fracture loads of the plates are predicted by the damage model and compared satisfactorily with those determined experimentally. This investigation provides an important confirmation that not only the anisotropic model of continuum damage mechanics but also the same failure criterion developed can be effectively employed to characterize both ductile fracture for plates containing an isolated macro-crack or circular hole which would otherwise not be possible using the conventional theory of fracture mechanics. The successful development of the unified approach to characterize ductile failure provides a vital impetus for design engineers in the general application of the theory of continuum damage mechanics to solve practical engineering problems.


2012 ◽  
Vol 560-561 ◽  
pp. 973-978 ◽  
Author(s):  
Jun Hang Guo ◽  
Ri Ichi Murakami ◽  
Sheng Dun Zhao

There are many models and failure criteria have been developed to predict the ductile fracture (DF) in metal plastic deformation. But usually, it is difficult to select a suitable model and the corresponding criterion from them. So, finding a way to identity their applicability and reliability is useful for selecting these DF criteria. In this paper, ductile fracture of aluminum alloy A5052P-H34 is studied by experiments and finite element simulations. In experiments, the mode I crack was obtained by uniaxial tension of plate with a circular hole in the center. The von Mises yield model and continuum damage mechanics based Rousselier model and modified Rousselier model are chosen to describe the material behavior. Three failure criteria, including the Cockcroft-Latham integral, maximum shear stress theory and critical void volume fraction criterion are investigated to determine their reliability in ductile failure prediction. These constitutive models and DF criteria are implemented by user material subroutine in ABAQUS/Explicit to predict the crack. And the crack initiation and propagation is implemented by element erosion method. By comparing the experiments and simulations, the modified Rousselier’s model with the corresponding criterion shows agreement with the experiments.


Author(s):  
Michiel Verdult ◽  
Raymond Marchee ◽  
Guus Hommel

The ultimate limit state of structural tension members with stress concentrations due to geometrical (non-welding related) stress raisers is investigated. Examples of such members are pad eyes, brackets etc. The influence of the application of high strength steels (up to S690) is taken into account. The focus lies on members with a predominant static loading regime. Such members frequently occur in the marine environment as parts of lifting appliances and handling systems or as a structural detail of equipment foundations, located outside the fatigue-prone regions of the hull girder. Typically, design stresses at the stress concentration approach the yield limit of the material. Common yield criteria cannot be applied to such peak stresses, due to the small margin between design and yield. Usually, the strength integrity is based on the nominal stresses in the critical cross section. Goal of the study is to determine the ductile failure limit with a method suited for design purposes. This would enable an ultimate limit state design approach and improve the structural safety philosophy. Main question is how the post yield behavior up to failure of a notched section is influenced by the stress gradient and the properties of the high strength materials. For this purpose, the applicability of two damage models based on the work of Rice & Tracey [8] (void growth model) and Bonora [1] (damage mechanics) is studied. In combination with elastoplastic finite element analysis these models enable the prediction of local ductile crack initiation. Calculations are performed on slender tensile members with a geometrical stress raiser, assuming a range of structural steel qualities and using a static loading regime. The results are verified using small scale laboratory tests. It is shown that isolated (non-redundant) tensile members with stress raisers feature a static ductile failure mode similar to that of uniform tensile specimen. Their failure loads can be determined as the product of the material’s tensile strength and the net section area, in the same way as for uniformly stressed members. These findings are valid up to S690 materials and clear the path to a safe and sound application of such materials based on an ultimate limit state approach. It was found that the ultimate limit state is governing design for higher strength steel members with a relatively low stress concentration. A severe stress raiser may be beneficial for efficient design of high strength members, since it allows a design stress in the notch up to yield without compromising the safety up to failure. Damage calculations were found superfluous for isolated member ultimate limit state design. Damage results, however, compare well with the failure mode observed. This is useful for the design of highly stressed notches in details which are surrounded by a large main structure, providing a huge reserve strength capacity. For these so-called embedded stress raisers an ultimate load approach is not possible due to the absence of a critical cross section. Damage mechanics can then be applied to determine a failure point in terms of stress and strain, allowing an ultimate limit state design for these stress peaks as well.


2019 ◽  
Vol 141 (4) ◽  
Author(s):  
Hitoshi Nakamura

Analyses of the notched tension tests of carbon steel show that ductile failure is initiated when the sum of flow stress and mean stress reaches the limit for the material, regardless of stress triaxiality. Therefore, this explicit critical stress condition could be a candidate criterion for local failure. An equation expressing the relation between stress triaxiality and critical strain was derived from the critical stress condition, and it was found that the critical strain diagram obtained by the equation nearly overlapped with that obtained by the conventional empirical equation. This suggests that the critical stress condition can be approximately determined if the critical strain diagram was obtained for a particular steel. The critical stress condition was consistent with the classical void nucleation theory, and the theory was incorporated into the void nucleation term of stress control in the Gurson–Tvergaard (GT) model—a well-known damage mechanics model for ductile failure. Since only the strain-controlled term is used in the recent GT model, herein, a finite element method (FEM) code was newly developed to implement the GT model with the stress-controlled term. Notched tension tests were analyzed with the critical stress condition using the developed code, and the analyses reproduced the failure behaviors and critical strains of the tests considerably well. These results strongly support the practicality of the stress-based criterion and demonstrate that ductile failure could be appropriately predicted by combining the GT model using the void nucleation term of stress control with the critical stress condition.


2010 ◽  
Vol 07 (02) ◽  
pp. 319-348 ◽  
Author(s):  
SACHIN S. GAUTAM ◽  
P. M. DIXIT

Ductile fracture occurs due to microvoid nucleation, growth and, finally, coalescence into microcracks. These microcracks grow in the presence of stresses leading to fracture. In this work, a criterion based on this phenomenon is used to simulate ductile fracture in a class of steel specimens. A critical value of the damage variable, estimated from experimental results, is used as an indicator of fracture initiation. A continuum damage mechanics model is employed to incorporate the damage in the constitutive relation of the material. A damage growth law based on experimental results is used. It is observed that the damage reaches the critical value first at the center in both the cylindrical and prenotched specimens. Thus, the failure begins at the center and then grows radially outward toward the free surface. The analysis is carried out till the damage reaches the critical value across the whole cross-section, at which point the specimen is considered to have failed.


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