The characteristics of J-integral under biaxial stressing

Wang, W.Q; Sun, Shang; Li, A.J; Zhou, Shenjie

doi:10.1016/s0308-0161(00)00005-3

Cited by 6 publications

(3 citation statements)

References 2 publications

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“…The values of the J-integral and the stress intensity factor are changing with temperature and the length of the crack. When the temperature and the crack length ratio go up the values of the J-integral and stress intensity factor increase 15 . In this paper, numerical investigation of thermal stress analyses, the calculations of the J-integral of pressurized and cracked pressurized cylindrical pipes were analyzed.…”

Section: Introductionmentioning

confidence: 99%

Influence of Pressure and Thermal Parameters on Stresses Analysis of Pressurized and Cracked Pipes

2019

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Due to the dangerous alarm for many engineering applications such as energy generating systems and pipelines transporting oil, gas and its derivatives under high-pressure, a study of the effect of thermal and mechanical loading on the cracked materials and pipes at high-temperature environments is required. In this work, the influence of the thermal loadings on stresses analysis of pressurized and cracked pressurized pipes has been solved numerically where the mode I crack's type has been considered. The modeling process mainly aims to find the stress intensity factor, J-integral calculations and the stress distributions. The accuracy of the results has been compared with analytical solutions of a pressurized cylinder. The mesh around the crack have been modeled in a careful way to obtain accurate stress distributions. It was found that the surface’s temperature has a significant effect on stress distributions, for example, the stresses increased by 50% with increasing the temperature differences between the inner and outer pipe’s diameter. Additionally, the stress intensity factor and the J-integrals values were calculated for different crack length ratios and temperature differences. It is found at the crack length ratio of 0.6 the stress intensity factors increased up to 50% from 45 to 76 and J-integral increased by 77% from 250 kN/m to 430 kN/m. Also, the influence of fluid’s temperature investigated, and the result showed that by increasing the fluid’s temperature without cracks, the stresses decreased by 33%. Also, it was found that for different crack length ratios the J-integral and stress intensity reduces when the fluid’s temperature increases.

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Section: Introductionmentioning

confidence: 99%

Influence of Pressure and Thermal Parameters on Stresses Analysis of Pressurized and Cracked Pipes

2019

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“…The classical fracture theory assumes that the stress applied parallel to the crack (or crack growth direction) does not influence the fracture behavior of elastic materials. In reality, the significant effects of the corresponding stress on fracture behavior have been recognized for hard materials such as metals and alloy materials. − They showed that the biaxial stress (or strain) has pronounced effects on stationary or moving cracks in terms of fracture toughness, crack growth velocity, − crack-tip opening, damage or plastic zone region, strain energy release rate, ,, and J-integral. , In addition, it was also demonstrated that the description of the crack-tip strain field under biaxial loading requires the T-stress quantity as a higher-order term …”

Section: Introductionmentioning

confidence: 99%

“…16−18 They showed that the biaxial stress (or strain) has pronounced effects on stationary or moving cracks in terms of fracture toughness, 19 crack growth velocity, 20−23 crack-tip opening, 16 damage or plastic zone region, 16 strain energy release rate, 17,24,25 and Jintegral. 26,27 In addition, it was also demonstrated that the description of the crack-tip strain field under biaxial loading requires the T-stress quantity as a higher-order term. 28 Unlike hard materials, soft elastic materials such as rubbers and gels can undergo markedly large deformations.…”

Section: Introductionmentioning

confidence: 99%

Biaxial Loading Effects on Strain Energy Release Rate and Crack-Tip Strain Field in Elastic Hydrogels

Mai

Urayama

2021

Macromolecules

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We characterized the strain energy release rate and local cracktip strain field for elastic hydrogels under several types of biaxial loading: planar, unequal biaxial, and equibiaxial extensions. The strain energy release rate (G) in each type of biaxial strain is characterized via two different approaches. One evaluates G from the change in strain energy with respect to the notch length (X c ) using single-edge notched specimens with various X c values. The other estimates G from the difference in strain energy density between the two regions far behind and ahead of the crack tip. The excellent agreement between the G values obtained by the two methods demonstrated their reliability. We also revealed the features of the local crack-tip strain field in biaxial loading, including crack-tip opening displacement, strain field area, strain magnitude resulting from crack opening, and strain singularity exponent for strain growth near the crack tip. Importantly, these properties are governed exclusively by G, independent of the biaxial loading type. The results provide an important basis for a comprehensive understanding of the fracture behavior of elastic soft materials under complicated deformations.

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Path independent integral for circular arc crack: FEM-investigation under mechanical and thermal loads

Khan¹,

Biswas²

2009

Finite Elements in Analysis and Design

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The characteristics of J-integral under biaxial stressing

Cited by 6 publications

References 2 publications

Influence of Pressure and Thermal Parameters on Stresses Analysis of Pressurized and Cracked Pipes

Influence of Pressure and Thermal Parameters on Stresses Analysis of Pressurized and Cracked Pipes

Biaxial Loading Effects on Strain Energy Release Rate and Crack-Tip Strain Field in Elastic Hydrogels

Path independent integral for circular arc crack: FEM-investigation under mechanical and thermal loads

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