Statistical Analysis of Maximum Tensile Stress Criterion for Cleavage Fracture in Notched Specimen

Author(s):  
X.X. XU ◽  
Q.G. CAI ◽  
Y. SU ◽  
C.X. HOU ◽  
W.D. MA
Author(s):  
Victor Brizmer ◽  
Yuri Kligerman ◽  
Izhak Etsion

Failure inception of a deformable sphere loaded by a contacting rigid flat is analyzed separately for perfect slip and for full stick conditions and various material properties of the sphere. Ductile yielding and brittle failure inception of the sphere is identified by the critical interference and associated normal loading as well as the location of the first yield or failure occurrence. The analysis is based on the analytical Hertz solution for frictionless slip condition and on a numerical solution for stick condition. Failure inception is determined by using either the von Mises criterion of plastic yield or the maximum tensile stress criterion of brittle failure.


1982 ◽  
Vol 104 (1) ◽  
pp. 91-96 ◽  
Author(s):  
E. G. Thomsen

Annealed OFHC copper and SAE 1018 steel were reduced by multipass drawing from diameters of 25.4 mm (and smaller) to 11.8 mm. A comparison was made of the experimental draw stresses and those calculated by Sachs’ and Avitzur’s equations and fair agreement exists. The drawn bars were subsequently reduced in diameter by 10 percent in order to provide gage sections and then were pulled in tension to fracture. It was found that in multipass draws some work softening occurs. The oxygen-free copper showed indications that fracture was initiated at the center of the specimen. The internal fracture grew to the near shape of a sphere and separation did not occur until the load had almost decreased to zero. The mild steel apparently also fractured in the center, but complete separation took place immediately after the tensile stress reached its maximum. The fracture theories of Latham and Cockcroft, as well as that of Chen and Kobayashi, were examined and it was found that fair agreement existed. It was also found that for these particular tests, the maximum tensile stress criterion gave more convincing results.


2011 ◽  
Vol 243-249 ◽  
pp. 4569-4575
Author(s):  
Yao Ying Huang ◽  
Hong Zheng

Suppose there is time course during the cracking and deforming process, the tensile cracking of rock-concrete materials was analyzed by means of elasto-viscoplastic model and its calculation steps were illustrated as well in this paper. The expression of function Φ in elasto-viscoplastic theory was studied; what’s more, it was comparatively analyzed the tensile cracking of rock-concrete materials by elasto-viscoplastic model and the maximum tensile stress criterion respectively. There are some differences comparing with the study of plastic yield by elasto-viscoplastic model, when analyzing the tensile cracking of rock-concrete materials on the basis of elasto-viscoplastic model, the function Φ should be the stress or stress formula of the direction where the principal stress firstly reaches the tensile strength; it is proved by the example analysis that it is feasible to study the tensile cracking of rock-concrete materials by elasto-viscoplastic model and there is no iteration stability issues.


Author(s):  
Anthony J. Horn ◽  
Andrew H. Sherry

Structures containing non-sharp defects exhibit a higher apparent resistance to cleavage fracture than sharp cracks. This paper presents a numerical and experimental study of the cleavage fracture behaviour of single edge notch bend SE(B) specimens with cracks and notches with varying notch root radii. The experimental study demonstrates the increasing resistance to fracture that occurs with increasing notch root radius. This is complemented by a numerical study that quantifies the elastic-plastic stress field ahead of the crack or notch tip. The results of the numerical and experimental studies are used together to show that the cleavage initiation sites, identified using scanning electron microscopy, are located close to the peak tensile stress field occurring ahead of the notch. This implies that a tensile stress criterion is the main controlling factor for cleavage fracture in the notched specimens analysed.


2021 ◽  
Vol 29 (3) ◽  
pp. 67-74
Author(s):  
E. Baesu ◽  
DM. Iliescu ◽  
BV. Radoiu ◽  
S. Halichidis

Abstract Bone is a complex material that can be regarded as an anisotropic elastic composite material. The problem of crack propagation in human bone is analyzed by using a generalization of the maximum tensile stress criterion (MTS). The results concern the critical stress for crack propagation and the direction of the crack path in Iliac bone.


2006 ◽  
Vol 324-325 ◽  
pp. 307-310
Author(s):  
De Ming Zhang ◽  
Gui Qing Chen ◽  
Chun Mei Zhang ◽  
Jie Cai Han

The TiAl-based alloys sheet with 150 mm × 100 mm × 0.4 mm was fabricated successfully by using EB-PVD method. The fracture morphology and residual stresses of the sheet were analyzed by SEM, numerical calculation and X-ray stress analyzer. The results indicate that before stripping, the depositional layers have a higher compressive stress, and the substrate has a very lower tensile stress. For the isolated TiAl-based alloys sheet, the microstructure of as-deposited sheet is columnar crystal, and the residual stresses distribution on the free surface has a trend that its magnitude decreased gradually from center to edges. After vacuum annealing at 1273 K for 16 h, the columnar crystal transforms into the equiaxed, the residual stresses on the free surface are eliminated ultimately, and the fracture of the material is diverted from the manner of intergranular fracture to the mixed manner of intergranular fracture with cleavage fracture.


2006 ◽  
Vol 512 ◽  
pp. 55-60 ◽  
Author(s):  
Mao Qiu Wang ◽  
Eiji Akiyama ◽  
Kaneaki Tsuzaki

We examine the hydrogen embrittlement susceptibility of a high-strength AISI 4135 steel by means of a slow strain-rate test (SSRT) using notched round bar specimens. Hydrogen was introduced into the specimens by electrochemical charging and its content was measured by thermal desorption spectrometry (TDS). It was found that the maximum tensile stress decreased in a power law manner with increasing diffusible hydrogen content. Finite element method (FEM) calculations demonstrated that the peak value of the maximum principal stress and the peak value of the locally accumulated hydrogen concentration at the maximum tensile stress were in good agreement with one power law relationship for the specimens with different stress concentration factors.


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