Crack Bifurcation at the Surface of Laminar Ceramics That Exhibit a Threshold Strength

2005 ◽  
Vol 88 (5) ◽  
pp. 1315-1317 ◽  
Author(s):  
Michael G. Pontin ◽  
Fred F. Lange
2007 ◽  
Vol 333 ◽  
pp. 1-16 ◽  
Author(s):  
Frederick F. Lange

It has been demonstrated, through theory and experiments, that compressive layers arrest large surface and internal cracks to produce a stress below which the material will not fail. This enables the materials to have a Threshold Strength. The stress intensity function, K, was derived for a crack sandwiched between two compressive layers. This function suggests that the threshold strength is proportional to the magnitude of the residual, compressive stress, the thickness of the compressive region, and inversely proportional to the distance between the compressive regions. All of these factors have been experimentally examined for laminar composites containing thin, compressive layers. Cracks that propagate straight though the layer obey the K function used to model this behavior. Crack bifurcation, which occurs at high compressive stresses, produces a larger threshold strength than predicted. Crack bifurcation is not fully understood. During the initial studies, differential thermal contraction during cooling from the densification temperature was used to develop the compressive stresses. A molar volume change to induce the compressive stress was also used to develop the compressive stresses. In one case, it was shown that the compressive stresses could arise when the compressive layer contained a material that underwent a structural phase transformation during cooling. In another, ion exchanged glass plates that are subsequently bonded together also produce a threshold strength. Factors that affect the threshold strength are reviewed.


Author(s):  
M. F. Stevens ◽  
P. S. Follansbee

The strain rate sensitivity of a variety of materials is known to increase rapidly at strain rates exceeding ∼103 sec-1. This transition has most often in the past been attributed to a transition from thermally activated guide to viscous drag control. An important condition for imposition of dislocation drag effects is that the applied stress, σ, must be on the order of or greater than the threshold stress, which is the flow stress at OK. From Fig. 1, it can be seen for OFE Cu that the ratio of the applied stress to threshold stress remains constant even at strain rates as high as 104 sec-1 suggesting that there is not a mechanism transition but that the intrinsic strength is increasing, since the threshold strength is a mechanical measure of intrinsic strength. These measurements were made at constant strain levels of 0.2, wnich is not a guarantee of constant microstructure. The increase in threshold stress at higher strain rates is a strong indication that the microstructural evolution is a function of strain rate and that the dependence becomes stronger at high strain rates.


2000 ◽  
Author(s):  
Fred F. Lange ◽  
Robert M. McMeeking ◽  
Kais Hbaieb

2001 ◽  
Author(s):  
Fred F. Lange ◽  
Kais Hbaieb ◽  
Robert M. McMeeking

2002 ◽  
Vol 34 (12) ◽  
pp. 755-772 ◽  
Author(s):  
Kais Hbaieb ◽  
Robert M McMeeking
Keyword(s):  

2016 ◽  
Vol 28 (28) ◽  
pp. 5857-5864 ◽  
Author(s):  
Hui Guo ◽  
Nicolas Sanson ◽  
Dominique Hourdet ◽  
Alba Marcellan
Keyword(s):  

2015 ◽  
Vol 8 (1) ◽  
pp. 8-13 ◽  
Author(s):  
N. M. P. Pillar ◽  
W. L. Repette

Shrinkage is one of the least desirable attributes in concrete. Large areas of exposed concrete surfaces , such as in shotcrete tunnel linings, where it is practically impossible to make a moist cure, are highly susceptible to plastic shrinkage at early ages. The autogenous and drying shrinkage can lead to states of greater than threshold strength, causing fracture, mechanical damage and lack of durability of concrete structures. The addition of fibers can greatly reduce plastic shrinkage, but has limited effect in mitigating autogenous and drying shrinkage. To evaluate the performance of polypropylene and steel fibers to understand their effect on shrinkage of concrete, a study was carried out to relate the loss of water from the paste and the shrinkage during the first 28 days of age, and compare it with a control mix without fiber. The loss of water was obtained by the weight loss of the specimens at different ages, since the only component that could contribute for the loss of weight was the water lost by the paste of the concrete. And the paste itself is the only source of shrinkage. Uniaxial compressive tests from very early ages enabled the determination of time when plastic shrinkage ended. It was observed that the control concrete mix lost three times more water and developed plastic and drying shrinkage 60 % higher than the fiber reinforced concrete mixes. It was possible to demonstrate that the reduced loss of water caused by the incorporation of fibers is related to the mitigation of plastic shrinkage. It was observed that the fibers are effective to restrain the movement of water through the cement paste in the plastic state, however such effect is limited after concrete starts the hardening state.


2016 ◽  
Vol 28 (33) ◽  
pp. 7043-7043 ◽  
Author(s):  
Hui Guo ◽  
Nicolas Sanson ◽  
Dominique Hourdet ◽  
Alba Marcellan
Keyword(s):  

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