Untitled

Chiou, Yaw‐Jeng; Lee, Yu-Min; Tsay, Ren-Jow

doi:10.1023/a:1015713428989

Cited by 87 publications

(3 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In contrast, it is almost impossible to automatically remesh finite elements of an arbitrarily growing crack [24]. One of the advantages of the advancing front method is that the new triangle element formation is coinstantaneous with new node generation, and this advantage makes it possible to control the shape and size of the element through the adjustment of the location of the node [25]. However, a lot of intersection checking between the new generated triangular elements and the existing elements must be computed in order to ensure that the triangular elements are valid.…”

Section: Meshingmentioning

confidence: 99%

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Bouchikhi¹,

Lousdad

Khalfi

et al. 2019

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a 2D numerical investigation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in titanium /titanium boride functionally graded material (TiB/Ti FGM) plate subjected to tensile mechanical load. Young's modulus of the functionally graded material plate varies along the specimen width (notch radius direction r-FGM) with exponential-law (E-FGM) function. Further, the Poisson's ratio is taken as a constant in normal direction. For this purpose the variations of the material properties are applied at the integration points and at the nodes by implementing a subroutine USDFLD in the ABAQUS software. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks are examined; also the effect of different parameters for double notch FGM plate is investigated as well as the effect of band of FGM within the ceramic plate to reduce Jintegral. According to the numerical analysis, all parameters above played an important role in determining the J-integral.

show abstract

Section: Meshingmentioning

confidence: 99%

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Bouchikhi¹,

Lousdad

Khalfi

et al. 2019

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

show abstract

“…Based on a local mesh refinement and auto-remeshing scheme, Tsay et al (1999) carried out the simulation of crack propagation using the NMM. Later, Chiou et al (2002) combined the virtual crack extension method to simulate the mixed mode fracture propagation. applied the second-order manifold method to simulate the toppling failure of the rock slope.…”

Section: Introductionmentioning

confidence: 99%

MLS-Based Numerical Manifold Method for Modeling the Cracked Rock Considering the Contact of the Crack Surface

Zheng

et al. 2022

Front. Earth Sci.

View full text Add to dashboard Cite

To simulate the moving boundary problems, the moving least square–based numerical manifold method, abbreviated as MLS-based NMM, was proposed. The MLS-based NMM has been applied successfully to open crack problems, which exhibits the high accuracy and strong robustness. In this study, we extend the MLS-based NMM to simulate the cracked rock considering the contact of the crack surface. Simultaneously, in order to simulate the progressive failure of the cracked rock, an improved strength-based criterion is proposed. The criterion is based on the Mohr–Coulomb criterion and maximum tensile stress criterion. Because rock can be regarded as a quasi-brittle material, a characteristic distance is used to calculate the crack tip stress and correct the crack propagation direction which avoids the phenomenon of “Zig-zag” for the crack propagation path based on the fracture mechanics criterion. The proposed strength-based criterion can acquire the crack tip stress and propagation direction and also realize the automatic determination of the crack propagation length in each step of the crack growth. A Brazilian disc problem and a rectangular plate problem are adopted to verify the numerical model. At last, the numerical model is applied to study the progressive failure process of the rock slope. The results indicate that the proposed method can deal with the crack propagation in the rock and the opening/sliding of rock blocks along discontinuities in a natural way.

show abstract

“…The advantages of the NMM lie in solving discontinuous problems, and simple crack problems have been modeled by Tsay et al (1999), Chiou et al (2002) and Li et al (2005). This paper intends to exhibit the capability of the NMM in modeling complex crack problems such as multiple intersecting cracks and branched cracks, as compared with other effective methods such as the XFEM and the GFEM.…”

Section: Introductionmentioning

confidence: 99%

Modeling complex crack problems using the numerical manifold method

Zhang

et al. 2009

Int J Fract

230

View full text Add to dashboard Cite

In the numerical manifold method, there are two kinds of covers, namely mathematical cover and physical cover. Mathematical covers are independent of the physical domain of the problem, over which weight functions are defined. Physical covers are the intersection of the mathematical covers and the physical domain, over which cover functions with unknowns to be determined are defined. With these two kinds of covers, the method is quite suitable for modeling discontinuous problems. In this paper, complex crack problems such as multiple branched and intersecting cracks are studied to exhibit the advantageous features of the numerical manifold method. Complex displacement discontinuities across crack surfaces are modeled by different cover functions in a natural and straightforward manner. For the crack tip singularity, the asymptotic near tip field is incorporated to the cover function of the singular physical cover. By virtue of the domain form of the interaction integral, the mixed mode stress intensity factors are evaluated for three typical examples. The excellent results show that the numerical manifold method is prominent in modeling the complex crack problems.

show abstract

Untitled

Cited by 87 publications

References 26 publications

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

MLS-Based Numerical Manifold Method for Modeling the Cracked Rock Considering the Contact of the Crack Surface

Modeling complex crack problems using the numerical manifold method

Contact Info

Product

Resources

About