Fracture in mechanism-based strain gradient plasticity

Jiang, Hanqing; Huang, Y.; Zhuang, Zhuo; Hwang, Kwang‐il

doi:10.1016/s0022-5096(00)00070-3

Cited by 104 publications

(86 citation statements)

References 45 publications

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“…4. For a stationary crack, there are similar characteristics (Jiang et al, 2001;Chen and Wang, Fig. 3.…”

Section: Fracture Analyses Using the Continuum Modelmentioning

confidence: 78%

“…Recently, elastic-plastic crack tip fields which reflect strain gradient effects have been presented. The results show that the separation strength of near-tip crack surface undergoes a considerable increase (Wei and Hutchinson, 1997a;Jiang et al, 2001;Chen and Wang, 2002). This seems to set up a hope to link the macroscopic fracture analysis to the microscopic fracture analysis.…”

Section: Introductionmentioning

confidence: 78%

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A multiscale model for the ductile fracture of crystalline materials

Wei

2005

International Journal of Plasticity

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In this paper, a multiscale model that combines both macroscopic and microscopic analyses is presented for describing the ductile fracture process of crystalline materials. In the macroscopic fracture analysis, the recently developed strain gradient plasticity theory is used to describe the fracture toughness, the shielding effects of plastic deformation on the crack growth, and the crack tip field through the use of an elastic core model. The crack tip field resulting from the macroscopic analysis using the strain gradient plasticity theory displayes the 1/2 singularity of stress within the strain gradient dominated region. In the microscopic fracture analysis, the discrete dislocation theory is used to describe the shielding effects of discrete dislocations on the crack growth. The result of the macroscopic analysis near the crack tip, i.e. a new K-field, is taken as the boundary condition for the microscopic fracture analysis. The equilibrium locations of the discrete dislocations around the crack and the shielding effects of the discrete dislocations on the crack growth at the microscale are calculated. The macroscopic fracture analysis and the microscopic fracture analysis are connected based on the elastic core model. Through a comparison of the shielding effects from plastic deformation and the discrete dislocations, the elastic core size is determined.

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“…4. For a stationary crack, there are similar characteristics (Jiang et al, 2001;Chen and Wang, Fig. 3.…”

Section: Fracture Analyses Using the Continuum Modelmentioning

confidence: 78%

Section: Introductionmentioning

confidence: 78%

A multiscale model for the ductile fracture of crystalline materials

Wei

2005

International Journal of Plasticity

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“…An intrinsic material length scale controls the contribution of a strain gradient to Taylor-based strain hardening. This length scale is a phenomenological constant that relates to microstructure [46], or is connected analytically to specific dislocation interactions [47]. The curve in Fig.…”

Section: 11mentioning

confidence: 99%

“…The curve in Fig. 11 depicts the oyy distribution derived from incorporating strain gradient terms into the material hardening description [47]. The length scale of the stress elevation is controlled by the material length scale, 1; this parameter was inferred to be 0.5-5 ýim from micro-indentation and wire torsion experiments applied to model single phase metals [46].…”

Section: 11mentioning

confidence: 99%

Critical issues in hydrogen assisted cracking of structural alloys

Gangloff

2008

Environment-Induced Cracking of Materials

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“…However, for atomistic fracture processes (observed in the experiments mentioned) conventional plasticity cannot explain the stress levels necessary for atomistic decohesion. This discrepancy resulted in investigating the role of the plastic strain gradients in elevating the crack-tip stresses in Mode I [7][8][9][10][11][12]. Wei and Hutchinson [13] and Wei et al [14] have shown a large effect of the strain gradient dependent term on the crack-growth behaviour.…”

Section: Introductionmentioning

confidence: 99%

Mode I and mixed mode crack-tip fields in strain gradient plasticity

Goutianos

2011

International Journal of Non-Linear Mechanics

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To cite this version:Stergios Goutianos.Mode I and mixed mode crack-tip fields in strain gradient plasticity.International Journal of Non-Linear Mechanics, Elsevier, 2011, 46 (9) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. AbstractStrain gradients develop near the crack-tip of Mode I or mixed-mode cracks.A finite strain version of the phenomenological strain gradient plasticity theory of Fleck-Hutchinson (2001) is used here to quantify the effect of the material length scales on the crack-tip stress field for a sharp stationary crack under Mode I and mixed-mode loading. It is found that for material length scales much smaller than the scale of the deformation gradients, the predictions converge to conventional elastic-plastic solutions. For length scales sufficiently large, the predictions converge to elastic solutions. Thus, the range of length scales over which a strain gradient plasticity model is necessary is identified. The role of each of the three material length scales, incorporated in the multiple length scale theory, in altering the near-tip stress field is systematically studied in order to quantify their effect.

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Fracture in mechanism-based strain gradient plasticity

Cited by 104 publications

References 45 publications

A multiscale model for the ductile fracture of crystalline materials

A multiscale model for the ductile fracture of crystalline materials

Critical issues in hydrogen assisted cracking of structural alloys

Mode I and mixed mode crack-tip fields in strain gradient plasticity

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