Prediction of slant ductile fracture using damage plasticity theory

Huang, Hongcheng; Xue, Liang

doi:10.1016/j.ijpvp.2008.11.027

Cited by 22 publications

(14 citation statements)

References 28 publications

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“…These directions correspond to the shear band directions in a transverse plane strain specimen, which is studied using a fine mesh and a strain-based fracture envelope for the damage plasticity model in [18]. This is consistent with the results of an early study on the burst of thick pipe using the damage plasticity model, which shows the ductile cracks form at about same angle (approximately 45 • to the surface) for materials of different ductility [25]. A comparison of the predicted g and h vectors is plotted in Figure 12 in the component form of the vectors.…”

Section: Transverse Plane Strain Tensionsupporting

confidence: 82%

“…From Equation (25), it can be seen that here exists at least one eigenvalue equal to zero for non-zero g and h; this is not unexpected because the G matrix is rank 2. Some characteristics of the eigenvalues can be determined from the coefficients of the linear and the quadratic terms of the characteristic polynomial with respect to (Equation (25)).…”

Section: Eigenvalues Of Gmentioning

confidence: 88%

“…Some characteristics of the eigenvalues can be determined from the coefficients of the linear and the quadratic terms of the characteristic polynomial with respect to (Equation (25)). Note, the cubic coefficient is −1.…”

Section: Eigenvalues Of Gmentioning

confidence: 99%

“…2 = 0, and 1 >0 and 3 <0. Solving Equation (25), the two possible non-zero eigenvalues, 1 and 3 , are…”

Section: Eigenvalues Of Gmentioning

confidence: 99%

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Fast methods for determining instabilities of elastic–plastic damage models through closed‐form expressions

Xue

Belytschko

2010

Numerical Meth Engineering

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SUMMARYFast methods for determining the onset of instability for elastic-plastic damage models under multiaxial loading conditions are developed. On the basis of the general Hadamard instability criterion, we derive a closed-form expression to determine the onset of instability, the bifurcation directions and the polarization vector. The results of the present analytical method are compared with solutions using a numerical minimization method. Excellent agreement and significantly faster computations are achieved for the onset of instability and the directions of the instability mode and the polarization vector when using these new methods.

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Section: Transverse Plane Strain Tensionsupporting

confidence: 82%

Section: Eigenvalues Of Gmentioning

confidence: 88%

Section: Eigenvalues Of Gmentioning

confidence: 99%

“…2 = 0, and 1 >0 and 3 <0. Solving Equation (25), the two possible non-zero eigenvalues, 1 and 3 , are…”

Section: Eigenvalues Of Gmentioning

confidence: 99%

See 2 more Smart Citations

Fast methods for determining instabilities of elastic–plastic damage models through closed‐form expressions

Xue

Belytschko

2010

Numerical Meth Engineering

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“…1 This is not the only geometrical effect caused by ductile damage and fracture: tunneling and slanting also occur (e.g. [6]) and are not represented by 2D simulations. The present contribution can be viewed as an extended 2D model of ductile damage and fracture.…”

Section: Introductionmentioning

confidence: 99%

A damage model for ductile crack initiation and propagation

2011

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Damage-induced ductile crack initiation and propagation is modeled using a constitutive law with asymmetrical contraction of the yield surface and tip remeshing combined with a nonlocal strain technique. In practice, this means that the void fraction depends on a nonlocal strain. Finite strain plasticity is used with smoothing of the complementarity condition. The prototype constitutive laws take into account pressure sensitivity and the Lode angle effect in the fracture strain. Two plane idealizations are tested: plane stress and plane strain. Thickness variation in the former is included by imposing a null out-of-plane normal stress component. In plane strain, pressure unknowns and bubble enrichment are adopted to avoid locking and ensure stability of the equilibrium equations. This approach allows the representation of some 3D effects, such as necking. The nonlocal approach is applied to the strains so that the void fraction value evolves up to one and this is verified numerically. Three verification examples are proposed and one validation example is shown, illustrating the excellent results of the proposed method. One of the verification examples includes both crack propagation in the continuum and rigid particle decohesion based on the same model.

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Modeling failure of Ti-6Al-4V using damage mechanics incorporating effects of anisotropy, rate and temperature on strength

Simha

Williams

2016

Int J Fract

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Prediction of slant ductile fracture using damage plasticity theory

Cited by 22 publications

References 28 publications

Fast methods for determining instabilities of elastic–plastic damage models through closed‐form expressions

Fast methods for determining instabilities of elastic–plastic damage models through closed‐form expressions

A damage model for ductile crack initiation and propagation

Modeling failure of Ti-6Al-4V using damage mechanics incorporating effects of anisotropy, rate and temperature on strength

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