A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques

Maligno, Angelo; Rajaratnam, Sabesan; Leen, Seán B.; Williams, Edward J.

doi:10.1016/j.engfracmech.2009.09.017

Cited by 78 publications

(41 citation statements)

References 49 publications

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“…This tends to be a severe restriction and is burdensome for crack growth simulations in complex geometries. To alleviate the computational burden associated with the insertion of arbitrary cracks into an finite element model, the extended finite element method (X-FEM) (Belytschko and Black, 1999;Moes et al, 1999) has provided significant advantages over other approaches such as boundary element methods (Cruse, 1988), remeshing methods (Carter et al, 2000;Maligno et al, 2010), and element deletion methods (Henshell and Shaw, 1975). While the application of the boundary element method can accurately capture the near tip singularities, its extension to elasto-plastic fracture problems is quite awkward due to the use of a domain integration of fictitious body forces to account for the nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions

Shi

Chopp

Lua

et al. 2010

Engineering Fracture Mechanics

184

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A three-dimensional extended finite element method (X-FEM) coupled with a narrow band fast marching method (FMM) is developed and implemented in the Abaqus finite element package for curvilinear fatigue crack growth and life prediction analysis of metallic structures. Given the level set representation of arbitrary crack geometry, the narrow band FMM provides an efficient way to update the level set values of its evolving crack front. In order to capture the plasticity induced crack closure effect, an element partition and state recovery algorithm for dynamically allocated Gauss points is adopted for efficient integration of historical state variables in the near-tip plastic zone. An element-based penalty approach is also developed to model crack closure and friction. The proposed technique allows arbitrary insertion of initial cracks, independent of a base 3D model, and allows non-self-similar crack growth pattern without conforming to the existing mesh or local remeshing. Several validation examples are presented to demonstrate the extraction of accurate stress intensity factors for both static and growing cracks. Fatigue life prediction of a flawed helicopter lift frame under the ASTERIX spectrum load is presented to demonstrate the analysis procedure and capabilities of the method.

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Section: Introductionmentioning

confidence: 99%

Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions

Shi

Chopp

Lua

et al. 2010

Engineering Fracture Mechanics

184

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“…Some commercial software packages such as ADAPCRACK, ZENCRACK and FRANC3D have been developed based on this idea [6][7][8] and two recent review papers can be consulted for details [1,9]. The complexity of remeshing, in spite of tremendous recent progress in Delaunay triangulation [10] and other meshing procedures [11], re-meshing remains a difficult problem when multiple cracks are interacting or for geometrically complex components where the presence of cracks as internal boundaries significantly constrain the mesh generation and regeneration process.…”

Section: Simulating Fatigue Crack Growthmentioning

confidence: 99%

“…For mixed mode fracture, K is taken as the equivalent SIF K eq which is given as [7]: It should be noted that the crack propagation velocity could be varied for the points along the front. In a single propagation step, the crack advance for each point is regularized by the user-specified maximum increment of crack advance ∆a max ,…”

Section: Paris Lawmentioning

confidence: 99%

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

Peng

Atroshchenko

Kerfriden

et al. 2017

Computer Methods in Applied Mechanics and Engineering

196

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Highlights• We implement an isogeometric BEM routine for fracture by use of dual boundary integral equations.• We propose a singular integration scheme to improve the quadrature accuracy for elements with high aspect ratios.• We investigate the approaches to compute stress intensity factors based on a NURBS representation of the crack surfaces.• We outline a geometric algorithm to propagate the crack based on the fatigue Paris law. AbstractWe present a novel numerical method to simulate crack growth in 3D, directly from the Computer-Aided Design (CAD) geometry of the component, without any mesh generation. The method is an isogeometric boundary element method (IGABEM) based on non-uniform rational B-splines (NURBS). NURBS basis functions are used for the domain and crack representation as well as to approximate the physical quantities involved in the simulations. A stable quadrature scheme for singular integration is proposed to enhance the robustness of the method in dealing with highly distorted elements. Convergence studies in the crack opening displacement is performed for a penny-shaped crack and an elliptical crack. Two approaches to extract stress intensity factors (SIFs): the contour M integral and the virtual crack closure integral are compared using dual integral equations. The results show remarkable accuracy in the computed SIFs, leading to smooth crack paths and reliable fatigue lives, without requiring the generation of any mesh from the CAD model of the component under consideration.

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“…All other material properties are summarized in Table 3, where m is the Poisson's ratio, C p is heat capacity at constant pressure, X 0 is reference resistivity, q is density of materials and h is the coefficient of heat transfer [18][19][20]32,33].…”

Section: Geometrical Structure and Materials Propertiesmentioning

confidence: 99%

“…Melle introduced a reliability modeling method to describe the dielectric charging kinetic [16]. In [17][18][19][20][21] typical structure failure phenomena, such as creep, fatigue and delamination of micro actuators, was analyzed based on Finite Element Method (FEM). However, physical modeling method regarding failure matters was still in its infancy stage.…”

Section: Introductionmentioning

confidence: 99%

Multiphysics modeling approach for micro electro–thermo–mechanical actuator: Failure mechanisms coupled analysis

Wang

Zeng

Silberschmidt

et al. 2015

Microelectronics Reliability

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A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques

Cited by 78 publications

References 49 publications

Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions

Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

Multiphysics modeling approach for micro electro–thermo–mechanical actuator: Failure mechanisms coupled analysis

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