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  • 1
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary A complete development for the first two terms of the crack tip fields for both Mode I and Mode II loading of a hardening material in either plane stress or plane strain is performed, including the elastic deformation in the analysis. It is shown that the determination of the order of the second term depends on bothn and whether plane stress or plane strain is considered. In addition, regions of HRR dominance at a crack tip for the field variables are estimated. Comparison of the analytic predictions with finite element results indicates that the analytic results for the zone of HRR dominance are in agreement with numerical predictions.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 53 (1992), S. 201-228 
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An experimental study of the near tip deformation fields for a Single Edge-Cracked specimen (SEC) has been completed. The surface deformation fields for a thin SEC plexiglas specimen have been obtained in the region 0.15 〈- r/t 〈- 0.60, where r is radial distance from the crack tip and t is the specimen thickness, by using a novel computer vision method. The results of the study indicate that the value of the J-Integral obtained from the measured surface deformation, and under the assumption of plane stress linearly elastic behavior, is essentially path independent over a region that is considered to be within the crack tip three-dimensional zone by researchers who have performed tests on other materials. However, the near-tip, in-plane displacement field does show a deviation from the traditional linear elastic crack tip singularity over the same region, suggesting the need for further studies to address this inconsistency.
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  • 3
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The singular behavior near a crack tip at the interface between two power-law hardening materials with the crack perpendicular to the interface is studied for both Mode I and Mode II loading under either plane strain or plane stress conditions. The mathematical model developed can be expressed as a fourth order ordinary differential equation with homogeneous boundary condition. A shooting method is applied to obtain the eigenvalues and to solve the differential equation with homogeneous boundary conditions. When both materials have the same hardening exponent,N, another material parameter, β, representing the relative resistance of two materials to plastic deformation, is introduced to reflect the joint effect of the two materials on the singularity. Results indicate that if both materials have the sameN, the singularity at the crack tip is reduced as β increases; however, when β becomes large there appears to be little change in the singularity for a fixedN. When the hardening exponents are not the same, the mathematical model assumes stress continuity across the interface. The results show that the order of the singularity depends largely on the softer material, with the largest stresses in the harder material.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 23 (1983), S. 382-383 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Recently, digital-image-correlation techniques have been used to accurately determine two-dimensional in-plane displacements and strains. An extension of the two-dimensional method to the acquisition of accurate, three-dimensional surfacedisplacement data from a stereo pair of CCD cameras is presented in this paper. A pin-hole camera model is used to express the transformation relating three-dimensional world coordinates to two-dimensional computer-image coordinates by the use of camera extrinsic and intrinsic parameters. Accurate camera model parameters are obtained for each camera independently by (a) using several points which have three-dimensional world coordinates that are accurate within 0.001 mm and (b) using two-dimensional image-correlation methods that are accurate to within 0.05 pixels to obtain the computer-image coordinates of various object positions. A nonlinear, least-squares method is used to select the optimal camera parameters such that the deviations between the measured and estimated image positions are minimized. Using multiple orientations of the cameras, the accuracy of the methodology is tested by performing translation tests. Using theoretical error estimates, error analyses are presented. To verify the methodology for actual tests both the displacement field for a cantilever beam and also the surface, three-dimensional displacement and strain fields for a 304L stainless-steel compact-tension specimen were experimentally obtained using stereo vision. Results indicate that the three-dimensional measurement methodology, when combined with two-dimensional digital correlation for subpixel accuracy, is a viable tool for the accurate measurement of surface displacements and strains.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 21 (1981), S. 436-440 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A common glass plate has been shown to be an adaptable and effective tool for use in speckle-shearing interferometry. Analyses of both the imaging system and the optical-filtering arrangement have been developed. Experiments were performed successfully. The results of these experiments have shown that visible speckle correlation fringes related to the derivatives of surface displacement are obtained when a common glass plate is used as a shearing component.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 23 (1983), S. 348-353 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A generalized form for the intensity distribution at the observation plane of a spatially filtered double-aperture specklegram is derived using classical Fresnel diffraction theory. The simplified formulas obtained by previous authors are found to be a special case of the general formula. In addition, both analytical and experimental results show that a variation in sensitivity of the double-aperture method exists within any given halo in the filter plane, even in the central D.C. halo. Also, in the D.C. halo, analytical and experimental work has shown that displacements can be measured parallel to the embedded grid present on the image, thereby demonstrating that a moiré analogy is inadequate to fully describe the phenomena. Finally, a comparison of experimental data to theoretical results based on the generalized formulation demonstrates (a) that the limits proposed by the authors for measuring displacements by use of the double-aperture method are valid, and (b) that the double-aperture method can be extended to measure displacements beyond those predicted by a moiré interpretation.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 23 (1983), S. 370-377 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 29 (1989), S. 214-220 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An image-processing method was developed to quantitatively extract the level of plastic deformation in metal specimen made of 304 stainless steel under remote tensile loading. The effective strain distribution around the notch tip was obtained and compared with the finite-element results. An exponential decay of the plastic strain concentration with distance from the notch tip was observed.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 34 (1994), S. 125-140 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The in-plane deformation fields near a stationary crack tip for thin, single edge-notched (SEN) specimens, made from Plexiglas, 3003 aluminum alloy and 304 stainless steel, have been successfully obtained by using computer vision. Results from the study indicate that (a) in-plane deformations ranging from elastic to fully plastic can be obtained accurately by the method, (b) for U, $$\varepsilon _{xx} $$ and $$\varepsilon _{xy} $$ , the size of the HRR dominant zone is much smaller than forV and $$\varepsilon _{yy} $$ , respectively. Since these results are in agreement with recent analytical work, suggesting that higher order terms will be needed to accurately predict trends in the data, it is clear that the region where the first term in the asymptotic solution is dominant is dependent on the component of the deformation field being studied, (c) the HRR solution can be used to quantity $$\varepsilon _{yy} $$ only in regions where theplastic strains strongly dominate the elastic strain components (i.e., when $$\left| {\varepsilon _{yy}^{el} /\left. {\varepsilon _{yy}^{pl} } \right|} \right.〈 .03 - .05$$ ); forV, the HRR zone appears to extend somewhat beyond this region, (d) the displacement componentU does not have the HRR singularity anywhere within the measurement region for either 3003 aluminum or 304 SS. However, the displacement componentV agrees with the HRR slope up to the plastic-zone boundary in 3003 aluminum ( $$5{\text{ }}J/\sigma _0〈 r〈 2{\text{5 }}J/\sigma _0 $$ ) and over most of the region where measurements were obtained ( $$J/\sigma _0〈 r〈 8{\text{ }}J/\sigma _0 $$ ) in 304 SS and (e) the effects of end conditions must be included in any finite-element model of typical SEN specimen geometries to accurately calculate theJ integral and the crack-tip fields.
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