Interaction integral method for computation of crack parameters K–T – A review

Yu, Hongjun; Kuna, Meinhard

doi:10.1016/j.engfracmech.2021.107722

Cited by 50 publications

(6 citation statements)

References 332 publications

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“…To derive the dynamic M-integral expression, let us consider the analytical form of the dynamic Jintegral, defined as follows [4,44,45] (Fig. 3):…”

Section: Dsifs Computing: the Interaction Integral Methods In Moving ...mentioning

confidence: 99%

“…As reported in Section 2.3.1, using the M-integral for evaluating DSIFs requires the definition of auxiliary displacement, stress, and strain fields concerning an analytical solution of a fracture problem for which DSIFs are known. Yu and Kuna [45] have pointed out two choice options as auxiliary fields concerning dynamic fracture problems. The first option consists of using the displacement and stress fields relative to Williams' asymptotic solutions [51], traditionally adopted in numerical simulations of crack propagation processes under quasi-static conditions (see Section A1 in Appendix A).…”

Section: Validation Of the Arbitrarily Eulerian-lagrangian Formulatio...mentioning

confidence: 99%

See 1 more Smart Citation

Dynamic fracture analysis in quasi-brittle materials via a finite element approach based on the combination of the ALE formulation and M−integral method

Pascuzzo

Greco²,

Lonetti³

et al. 2022

Engineering Failure Analysis

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“…To derive the dynamic M-integral expression, let us consider the analytical form of the dynamic Jintegral, defined as follows [4,44,45] (Fig. 3):…”

Section: Dsifs Computing: the Interaction Integral Methods In Moving ...mentioning

confidence: 99%

Section: Validation Of the Arbitrarily Eulerian-lagrangian Formulatio...mentioning

confidence: 99%

Dynamic fracture analysis in quasi-brittle materials via a finite element approach based on the combination of the ALE formulation and M−integral method

Pascuzzo

Greco²,

Lonetti³

et al. 2022

Engineering Failure Analysis

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“…In this case, the interaction energy integral method initially proposed by Yau et al [58] is largely used to compute mixedmode SIFs separately, being implemented in most commercial FEM software, such as Ansys and Abaqus. Further details on the interaction integral method and its numerical implementation are reported in [59].…”

Section: Fundamentals Of Linear Elastic Fracture Mechanicsmentioning

confidence: 99%

Fatigue fracture mechanics in gold-based MEMS notched specimens: experimental and numerical study

Pistorio

Somà

2023

J. Micromech. Microeng.

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The characterization of fatigue fracture mechanics in gold-MEMS notched specimens is presented in this work. A test microstructure with a central notched specimen is specifically designed and built to perform on-chip fatigue test. The central specimen undergoes cyclic loading due to the application of alternating voltage. The variation in the microstructure deflection is measured using an optical profilometer and is attributed to the crack growth in the gold material, causing the variation in the specimen stiffness. The occurrence of pull-in condition is used as a fracture detector, then the fracture of the specimen can be recognized without performing scanning electron microscope inspections during the fatigue test. Crack propagation in the test specimen is simulated through a coupled-field electromechanical fracture finite element model and the computed crack path is compared to the results obtained from scanning electron microscope analyses. Finally, Paris' law is applied and the number of cycles to failure is computed by exploiting the results of the fracture model and experimental measurements. Both experimental and numerical results demonstrate that the notch acts as a stress and strain raiser, fostering crack nucleation from the notch root, and that the linear elastic fracture mechanics theory is still valid to describe crack propagation in micro-size samples.

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“…The toe crack and root crack have been modelled at the same time, in order to consider the interaction between the two cracks. In solving SIFs, the interaction integral method [66] has been applied, with a total of 6 contours requested. For the numerical stability, the result is determined by averaging from the 2nd to 6th contours [57].…”

Section: Data Preparation and Trainingmentioning

confidence: 99%

GPR-assisted evaluation of probabilistic fatigue crack growth in rib-to-deck joints in orthotropic steel decks considering mixed failure models

Heng

Zhou

Zou

et al. 2022

Engineering Structures

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Interaction integral method for computation of crack parameters K–T – A review

Cited by 50 publications

References 332 publications

Dynamic fracture analysis in quasi-brittle materials via a finite element approach based on the combination of the ALE formulation and M−integral method

Dynamic fracture analysis in quasi-brittle materials via a finite element approach based on the combination of the ALE formulation and M−integral method

Fatigue fracture mechanics in gold-based MEMS notched specimens: experimental and numerical study

GPR-assisted evaluation of probabilistic fatigue crack growth in rib-to-deck joints in orthotropic steel decks considering mixed failure models

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