Recent finite element studies in plasticity and fracture mechanics

Rice, James R.; McMeeking, Robert M.; Parks, David M.; Sorensen, E.P.

doi:10.1016/0045-7825(79)90026-4

Cited by 59 publications

(17 citation statements)

References 41 publications

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“…When n ? 1, the singularity of HRR field disappears and the crack-tip stress state approaches to the Prandtl slip-line field as for a deeplycracked bending specimen, but the deformation concentrates along a single slip line emanating from the crack tip [92,95]. As the leading term of an elastic-plastic crack-tip field with stress varying as 1/r 1/(n + 1) , the HRR field dominates only near the crack tip and well within the plastic zone.…”

Section: J-integral Concept and Hrr Fieldmentioning

confidence: 99%

“…When the higher-order terms in the asymptotic solutions are significant, the loading is often non-proportional and two-parameter solutions are required to describe the elastic-plastic crack-tip behavior and to quantify the crack-tip constraint effect that is discussed in Section 6. Broad finite element analyses [93][94][95][96][97] verified that the HRR solution matches actual crack-tip fields for deeply cracked bending specimens, and that a single J-integral parameter can accurately describe the intensity of the crack-tip stress field. In the late 1970s and the early 1980s, Electric Power Research Institute (EPRI) in the United States sponsored a series of major projects for establishing a J-integral handbook.…”

Section: J-integral Concept and Hrr Fieldmentioning

confidence: 99%

“…The J-dominance analyses from extensive FEA calculations [93][94][95][96][97] have shown that the HRR solution can reasonably describe the actual crack-tip fields for deeply-cracked bending specimens in SSY conditions, and that the single J parameter can accurately describe the intensity of the crack-tip stress field for the high constraint specimens, but breaks down for low constraint specimens or for large-scale yielding (LSY). To investigate the constraint effect on the crack-tip field under the LSY conditions, Betegon and Hancock [256] and Du and Hancock [257] at the University of Glasgow in Scotland developed a FEA model using a modified boundary layer formulation with the displacement boundary conditions corresponding to the two-parameter elastic crack-tip stress field in Eq.…”

Section: The J-t Approachmentioning

confidence: 99%

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Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization

Zhu

Joyce

2012

Engineering Fracture Mechanics

627

126

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Stress intensity factor Energy release rate CTOD CTOA J-integral J-R curve K-R curve ASTM standard a b s t r a c tThe present paper gives a technical review of fracture toughness testing, evaluation and standardization for metallic materials in terms of the linear elastic fracture mechanics as well as the elastic-plastic fracture mechanics. This includes the early investigations and recent advances of fracture toughness test methods and practices developed by American Society for Testing and Materials (ASTM). The review describes the most important fracture mechanics parameters: the elastic energy release rate G, the stress intensity factor K, the Jintegral, the crack-tip opening displacement (CTOD) and the crack-tip opening angle (CTOA) from the basic concept, definition, to experimental estimation, test methods and ASTM standardizing practices. Attention is paid to guidelines on how to choose an appropriate fracture parameter to characterize fracture toughness for the material of interest, and how to measure the fracture toughness value defined either at a critical point or in a resistance curve format using laboratory specimens. The relevant ASTM fracture toughness test standards considered in this paper are E399 for K Ic testing, E561 for K-R curve testing, E813 for J Ic testing, E1152 for J-R curve testing, E1737 for J Ic and J-R curve testing, E1290 for CTOD (d) testing, a combined common test standard E1820 for measuring the three parameters of K, J and d, E1921 for the transition reference temperature T 0 testing and the master curve of cleavage toughness K Jc testing, and E2472 for CTOA testing. The effects of loading rate, temperature and crack-tip constraint on fracture toughness as well as fracture instability analysis are also reviewed.

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Section: J-integral Concept and Hrr Fieldmentioning

confidence: 99%

Section: J-integral Concept and Hrr Fieldmentioning

confidence: 99%

Section: The J-t Approachmentioning

confidence: 99%

See 1 more Smart Citation

Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization

Zhu

Joyce

2012

Engineering Fracture Mechanics

627

126

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“…Our study is restricted to loading. In this case, the pseudoelastic shape memory alloy behavior can be considered to be similar to the elasto-plastic behavior as investigated by Rice et al [10]. In this spirit, the austenitic behavior, at least in its polycrystalline state, can be considered as an elastic isotropic behavior.…”

Section: Stress Tensor and Local Phase Anglementioning

confidence: 82%

Rice Local Phase Angle Study for a Delamination Problem Between a Shape Memory Alloy and an Elastic Material

Laydi

Lexcellent

2012

Arch Rational Mech Anal

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The present study is an extension of a recent paper of Freed et al. (J Mech Phys Solids 56:3003-3020, 2008). The final aim is to describe the transformation toughening behavior of a static crack along an interface between a shape memory alloy (SMA) and a linear elastic isotropic material. With an SMA as an equivalent Huber-Von Mises stress model (hypothesis of symmetric behavior between tension and compression), Freed et al. determine the initiation (ending) phase transformation yield surfaces in terms of the local phase angle introduced by Rice et al. (Metal ceramic interfaces, Pergamon Press, New York, pp 269-294, 1990). In this paper we give the general framework to determine this angle for a model integrating the asymmetry between tension and compression (experimentally measured: Vacher and Lexcellent in Proc ICM 6:231-236, 1991; Orgéas and Favier in Acta Mater 46(15): [5579][5580][5581][5582][5583][5584][5585][5586][5587][5588][5589][5590][5591] 2000), the Huber-Von Mises model being only a particular case. We demonstrate the local phase angle existence in an appropriate framing domain and give a sufficient hypothesis for its uniqueness and an algorithm to obtain it. Estimates are obtained in terms of physical quantities such as the Young modulus ratio, the bimaterial Poisson modulus values and also the choice of the yield loading functions. Finally, we illustrate this theoretical study by an application linking the asymmetry intensity on the width and the shape on predicted phase transformation surfaces and by a comparison with the symmetric case.

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“…McMeeking (1977) and Rice et al (1979) used finite element methods to include finite deformation in their investigations of crack-tip opening in elasticplastic materials. Finite deformations near a stationary crack tip in an elastic solid have been investigated by Knowles (1977), Knowles and Sternberg (1980, 1981), and Lo (1977, who used analytical methods.…”

Section: Introductionmentioning

confidence: 99%