Quasi-static crack advance under a range of constraints—Steady-state fields based on a characteristic length

Varias, A G; Shih, C. F.

doi:10.1016/0022-5096(93)90002-w

Cited by 68 publications

(72 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Tang and Dodds20 confirmed the results of Ref. 19 by analyzing the early transient phase of crack growth in plane strain. They found a progressive increase of the normal stresses in the region surrounding the crack tip, toward values generally slightly higher than the small-scale-yielding values.…”

Section: Trial Applications Of Existing Sizeeffect Adjustmentssupporting

confidence: 56%

“…This approach assures similar material properties through the crack depth for each of the specimens. At the close of this report period, 19 Five additional tests on cruciform specimens with constantdepth shallow flaws were completed in this report period. Test specimens for three of these tests were existing archive specimens from the development stage of the testing program.…”

Section: Constraint Effects Analytical Development and Validationmentioning

confidence: 99%

See 1 more Smart Citation

Heavy-section steel technology program. Semiannual progress report, April--September 1995 Vol. 12, No. 2

Pennell¹

1997

View full text Add to dashboard Cite

show abstract

Section: Trial Applications Of Existing Sizeeffect Adjustmentssupporting

confidence: 56%

Section: Constraint Effects Analytical Development and Validationmentioning

confidence: 99%

Heavy-section steel technology program. Semiannual progress report, April--September 1995 Vol. 12, No. 2

Pennell¹

1997

View full text Add to dashboard Cite

show abstract

“…6(c). Varias and Shih [18] calculated the effective plastic strain distributed along the plane ahead of the crack tip for x 1 =l P 0:2 (l ¼ K [18]. However, the corresponding value predicted using the present theory from Fig.…”

Section: Crack Tip Field Solutionsmentioning

confidence: 77%

“…Gao and Hwang [15], Drugen et al [16] and later Hwang and Luo [17] studied the steady-state crack tip fields. Using the finite element method presented by Dean and Hutchinson [13], Varias and Shih [18] computed the steady-state crack tip field for the model I crack when T-stress effect was considered; Suo et al [19] and Beltz et al [6] investigated the steady-state fracture toughness by adopting a plasticity-free strip model (SSV model). Tvergaard and Hutchinson [2,3] studied the fracture work for the mode I homogeneous material and bi-material using the embedded process zone (EPZ) model.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Steady-state crack growth and fracture work based on the theory of mechanism-based strain gradient plasticity

Wei

Qiu

Hwang

2004

Engineering Fracture Mechanics

View full text Add to dashboard Cite

Mode I steady-state crack growth is analyzed under plane strain conditions in small scale yielding. The elastic-plastic solid is characterized by the mechanism-based strain gradient (MSG) plasticity theory [J. Mech. Phys. Solids 47 (1999) 1239, J. Mech. Phys. Solids 48 (2000) 99]. The distributions of the normal separation stress and the effective stress along the plane ahead of the crack tip are computed using a special finite element method based on the steady-state fundamental relations and the MSG flow theory. The results show that during the steady-state crack growth, the normal separation stress on the plane ahead of the crack tip can achieve considerably high value within the MSG strain gradient sensitive zone. The results also show that the crack tip fields are insensitive to the cell size parameter in the MSG theory. Moreover, in the present research, the steady-state fracture toughness is computed by adopting the embedded process zone (EPZ) model. The results display that the steady-state fracture toughness strongly depends on the separation strength parameter of the EPZ model and the length scale parameter in the MSG theory. Furthermore, in order for the results of steady crack growth to be comparable, an approximate relation between the length scale parameters in the MSG theory and in the Fleck-Hutchinson strain gradient plasticity theory is obtained.

show abstract

Numerische Untersuchung zum Verhalten von Rißwiderstandskurven: Simulation mit dem Kohäsivmodell

Lin¹,

Cornec²

1996

Materialwissenschaft Werkst

View full text Add to dashboard Cite

Bauteile werden durch Risse infolge ihrer lokalen Beanspruchungskonzentration deutlich geschwacht. Zur Bewertung der maximalen Restfestigkeit wird der Widerstand eines Werkstoffs durch R i l hderstandskurven bestimmt. Sie basieren auf global zuganglichen und meRbaren GroRen. In der einfachsten Vorstellung sollte der RiRwiderstand nur voin Werkstoff abhangen. Dies trifft leider nicht zu. Mit dem GKSS spezifischen Kohasivmodell wird der Bruchvorgang realitatsnaher konstitutiv loklil beschrieben. Durch FEM Rechnungen wird gezeigt, welche GroBen den RiBwiderstand heeinflussen. Auch fur die Werkstoffentwicklung ergeben sich neue Aspekte irn Hinblick auf eine gezielte Auswahl oder Veranderung eines Wekstoffs. Characteristics of Crack Resistance: Simulation with a new Cohesive ModelCracks in structures induce high stress and strain concentration and reduce significantly their load capacity. The resistance of the material during stable crack extention is determined using global quantities measured on specific crack specimens. However, such determined resistance of a inaterial is dependent on several parameters, even under small scale yielding as shown here. The behaviour of the resistance curves, determined by Finite Element simuljitions using a new GKSS specific cohesive model, will be presented. New aspects also arise for the choise, design, and assessment of materials.

show abstract

Quasi-static crack advance under a range of constraints—Steady-state fields based on a characteristic length

Cited by 68 publications

References 22 publications

Heavy-section steel technology program. Semiannual progress report, April--September 1995 Vol. 12, No. 2

Heavy-section steel technology program. Semiannual progress report, April--September 1995 Vol. 12, No. 2

Steady-state crack growth and fracture work based on the theory of mechanism-based strain gradient plasticity

Numerische Untersuchung zum Verhalten von Rißwiderstandskurven: Simulation mit dem Kohäsivmodell

Contact Info

Product

Resources

About