Puncture fracture in an aluminum beverage can

Yoon, Jeong Whan; Cardoso, Rui P.R.; Dick, Robert E.

doi:10.1016/j.ijimpeng.2009.06.004

Cited by 16 publications

(8 citation statements)

References 45 publications

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“…F σ ðÞ¼f σ ðÞ (26) where σ is the stress tensor and σ is the equivalent stress, F and f are two different failure functions. By the flow rule the incremental strain is related to the gradient of a function known plastic potential.…”

Section: Contact and Fracture Mechanicsmentioning

confidence: 99%

“…So, we must have F σ ðÞ¼ σ 2 3 , Thus Eqs. (26) and (27) (32) dλ is calculated by omitting dσ between Eqs. (30) and (31) and substituting dε p from Eq.…”

Section: Contact and Fracture Mechanicsmentioning

confidence: 99%

“…These include finite element method (FEM), boundary element method, hybrid boundary node method [12,13], meshfree methods [14][15][16][17][18] and extended finite element method [19,20]. Out of these methods, FEM has been widely used for solving a wide variety of engineering and industrial problems [21][22][23][24][25][26]. It has achieved a remarkable success in solving various linear and non-linear problems [27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

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Fatigue Fracture of Functionally Graded Materials Under Elastic-Plastic Loading Conditions Using Extended Finite Element Method

Bhattacharya¹,

Sharma²,

Sonkar³

2018

Contact and Fracture Mechanics

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In this chapter, extended finite element method (XFEM) has been used to simulate the fatigue crack growth problems in functionally graded material (FGM) in the presence of hole, inclusion and minor crack under elastic and plastic conditions. The fatigue crack growth analysis of alloy/ceramic FGMs, alloy and equivalent composite is done by XFEM in the presence of multiple discontinuities under mode-I mechanical load. The validity of linear elastic fracture mechanics (LEFM) theory is limited to the brittle materials. Therefore, the elastic plastic fracture mechanics (EPFM) theory needs to be utilized to characterize the plastic behavior of the material. A generalized Ramberg-Osgood material model has been used to model the stress-strain behavior of the material. Plasticity has been checked by Von Mises Yield criteria. J-integral has been used to calculate the SIF. Crack growth direction is determined by maximum principal stress criteria.

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Section: Contact and Fracture Mechanicsmentioning

confidence: 99%

“…So, we must have F σ ðÞ¼ σ 2 3 , Thus Eqs. (26) and (27) (32) dλ is calculated by omitting dσ between Eqs. (30) and (31) and substituting dε p from Eq.…”

Section: Contact and Fracture Mechanicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fatigue Fracture of Functionally Graded Materials Under Elastic-Plastic Loading Conditions Using Extended Finite Element Method

Bhattacharya¹,

Sharma²,

Sonkar³

2018

Contact and Fracture Mechanics

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“…Du and Cen [35] extended the element AGQ6-I to geometrically nonlinear analysis. Cardoso et al [36][37][38] introduced the element AGQ6-I to develop distortion-immune shell elements for linear, nonlinear, and dynamic fracture analyses. Wang and Sun [39] used the element AGQ6-II to formulate a new corotational nonlinear shell element.…”

Section: Introductionmentioning

confidence: 99%

Four-Node Generalized Conforming Membrane Elements with Drilling DOFs Using Quadrilateral Area Coordinate Methods

Chen

Cen

Sun

et al. 2015

Mathematical Problems in Engineering

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Two 4-node generalized conforming quadrilateral membrane elements with drilling DOF, named QAC4 and QAC4 M, were successfully developed. Two kinds of quadrilateral area coordinates are used together in the assumed displacement fields of the new elements, so that the related formulations are quite straightforward and will keep the order of the Cartesian coordinates unchangeable while the mesh is distorted. The drilling DOF is defined as the additional rigid rotation at the element nodes to avoid improper constraint. Both elements can pass the strict patch test and exhibit better performance than other similar models. In particular, they are both free of trapezoidal locking in MacNeal's beam test and insensitive to various mesh distortions.

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“…Furthermore, the explicit expressions of the element stiffness matrix can be obtained according to the integral formulae of the quadrilateral area coordinates [22], which can bring better computation efficiency. So, the element AGQ6-I attracts other researchers to make further developments and applications [23][24][25]. On the other hand, this element failed in strict patch test and can only pass the weak patch test.…”

Section: Introductionmentioning

confidence: 99%

Several Treatments on Nonconforming Element Failed in the Strict Patch Test

Chen

Cen

et al. 2013

Mathematical Problems in Engineering

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For nonconforming finite elements, it has been proved that the models whose convergence is controlled only by the weak form of patch tests will exhibit much better performance in complicated stress states than those which can pass the strict patch tests. However, just because the former cannot provide the exact solutions for the patch tests of constant stress states with a very coarse mesh (strict patch test), their usability is doubted by many researchers. In this paper, the non-conforming plane 4-node membrane element AGQ6-I, which was formulated by the quadrilateral area coordinate method and cannot pass the strict patch tests, was modified by three different techniques, including the special numerical integration scheme, the constant stress multiplier method, and the orthogonal condition of energy. Three resulting new elements, denoted by AGQ6M-I, AGQ6M-II, and AGQ6M, can pass the strict patch test. And among them, element AGQ6M is the best one. The original model AGQ6-I and the new model AGQ6M can be treated as the replacements of the well-known models Q6 and QM6, respectively.

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Puncture fracture in an aluminum beverage can

Cited by 16 publications

References 45 publications

Fatigue Fracture of Functionally Graded Materials Under Elastic-Plastic Loading Conditions Using Extended Finite Element Method

Fatigue Fracture of Functionally Graded Materials Under Elastic-Plastic Loading Conditions Using Extended Finite Element Method

Four-Node Generalized Conforming Membrane Elements with Drilling DOFs Using Quadrilateral Area Coordinate Methods

Several Treatments on Nonconforming Element Failed in the Strict Patch Test

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