Download or read book Stress intensity Factors for Three point Bend Specimens by Boundary Collocation written by Bernard Gross and published by . This book was released on 1965 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: A boundary value collocation procedure was applied to the Williams stress function to determine values of the stress intensity factor K for single edge in rectangular section specimens subjected to three point bending. The results are presented in terms of the dimensionless quantity Y2 = K2B2W3/M2 where B and W are the specimen thickness and depth and M is the bending moment at midspan. The values of Y2 as a function of relative crack depth a/W for three-point bending are appreciably lower than the corresponding values for pure bending (determined previously by the same method) and decrease as the ratio of support span to specimen depth S/W decreases. Plots of Y2 against a/W are given for values of a/W up to 0. 5 and S/W equal to 4 and 8. The results were relatively insensitive to variations in the spread of the midspan load contact region, which was assumed to be related to the yield strength of the material. The results agreed fairly well with published results derived from experimental compliance measurements; one set gave higher values of Y2 than the present method, and the other set gave lower values. The plane-strain fracture toughness measurement capacity of three-point bend specimens is somewhat lower than that of four- point bend specimens, but the difference is of negligible practical importance.
Download or read book Stress intensity Factors for Single edge notch Specimens in Bending Or Combined Bending and Tension by Boundary Collocation of a Stress Function written by Bernard Gross and published by . This book was released on 1965 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: A boundary-value-collocation procedure was used in conjunction with the Williams stress function to determine values of the stress-intensity factor K for single edge cracks of various depths in specimens subjected to pure bending. The results are of use in connection with K(sub Ic) fracture toughness tests, which utilize rectangular-section crack-notch beam specimens loaded in four-point bending, and are in good agreement with published results derived from experimental compliance measurements. The results are expressed in convenient, compact form in terms of the dimensionless quantity Y(exp 2)=K(exp 2)B(exp 2)W(exp 3)/M(exp 2), which is a function of relative crack depth a/W only, where B and W are the specimen width and thickness and M is the applied bending moment. On the assumption that the condition for a valid K(sub Ic) test is that the maximum nominal stress at the crack tip should not exceed the yield strength of the material, the K(sub Ic) measurement capacity of bend specimens was estimate as a function of a/W. The measurement capacity is proportional to the yield strength and to the square root of the specimen depth, and it is greatest for a/W in the range 0.2 to 0.3. Values of K for single-edge-notch specimens subjected to combined bending and tension were obtained by superposition of the present results and those of earlier work for specimens loaded in uniform tension. These values are of interest in connection with the use of single-edge-notch specimens that are off-center pin-loaded in tension. It is shown that the K(sub Ic) measurement capacity of such specimens is not very sensitive to the eccentricity of loading.
Download or read book Stress Intensity Factors and Displacements for Arc Bend Specimens Using Collocation written by JA. Kapp and published by . This book was released on 1988 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stress-intensity factors, crack mouth opening displacements, and load-line displacements were determined for the arc bend-chord support specimen using boundary collocation. Several inner radius (r1) to outer radius (r2) ratios were studied at each of two span (S) to width (W) ratios. The actual solution matrix is for S/W = 3.0, r1/r2 = 0.8, 0.6, 0.4, and for S/W = 4.0, r1/r2 = 0.8, 0.7, 0.6. Also, the three-point bend single-edge specimen [SE(B)] at both S/W = 3.0 and S/W = 4.0 was studied to examine the limiting behavior of the generated solutions. For all of the S/W = 3.0 cases, solutions were obtained for crack length-to-width ratios (a/W) from 0.2 to 0.6, and in the S/W = 4.0 cases, a/W was varied from 0.2 to 0.5. The solutions were obtained by the linear superposition of a pure bending stress, a pure shear stress, and a uniform normal stress on an annular segment. The magnitudes of the individual components depended upon the size of the annular segment and the S/W ratio. Wide-range expressions were fit to the numerical solutions to make them applicable over a wider range of testing conditions and for inclusion in future revisions of the ASTM Standard for Plane-Strain Fracture Toughness Testing (E 399-83).
Download or read book Stress intensity Factors for a Single edge notch Tension Specimen by Boundary Collocation of a Stress Function written by Bernard Gross and published by . This book was released on 1964 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stress Intensity Factors and Displacements for ARC Bend Samples Using Collocation written by and published by . This book was released on 1989 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stress intensity, crack mouth opening displacements, and load-line displacements were determined for the arc bend-chord support specimen using boundary collocation. Several inner radius (r1) to outer radius (r2) ratios were studied at each of two span (S) to width (W) ratios. The actual solution matrix is for S/W = 3, r1/r2 = 0.8, 0.6 0.4, and for S/W = 4, R1/R2 = 0.8, 0.7, 0.6. Also, the three-point bend single-edge specimen (SE(B) at both S/W = 3 and S/W = 4 was studied to examine the limiting behavior of the generated solutions. For all of the S/W = 3 cases, solutions were obtained for crack length to width ratios (a/W) from 0.2 to 0.6, and in the S/W = 4 cases, a/W was varied from 0.2 to 0.5. The solutions were obtained by the linear superposition of a pure bending stress, a pure shear stress, and a uniform normal stress on an annual segment. The magnitudes of the individual components depended upon the size of the annular segment and the S/W ratio. Wide range expressions were fit to the numerical solutions to make them applicable over a wider range of testing conditions and for inclusion in future revisions of E-399 on Plane-Strain Fracture Toughness Testing.
Download or read book Stress intensity Factors by Boundary Collocation for Single edge notch Specimens Subject to Splitting Forces written by Bernard Gross and published by . This book was released on 1966 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: A boundary -value-collocation procedure was applied in conjunction with the Williams stress function to determine values of the stress-intensity factor K1 for single-edge cracks in plate specimens subject to splitting forces applied close to the crack and acting transversely to it. The results are presented in terms of the dimensionless quantity Y = K1BH3 /2/pa, where B and H are the specimen thickness and half-depth, a is the effective crack length, and P is the applied load. The results are practically independent of the ratio of effective specimen length to specimen half-depth q/H, when this ratio is not less than a/H + 2, and are then in excellent agreement with those derived by other investigators from compliance measurements. In the limit, as H/a approaches zero, the value of Y approaches that obtained in an elementary analysis which treats the specimen as a pair of built-in cantilever beams.
Download or read book NASA Technical Note written by and published by . This book was released on 1970 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications and Non Metals written by D.M.R. Taplin and published by Elsevier. This book was released on 2013-10-22 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Research on the Strength and Fracture of Materials: Volume 3Bs—Applications and Non-Metals contains the proceedings of the Fourth International Conference on Fracture, held at the University of Waterloo, Canada, in June 1977. The papers review the state of the art with respect to testing of fracture in a wide range of non-metals such as ceramics, glass, composites, polymers, biomaterials, and concrete. This volume is divided into five sections and opens by discussing the role of acoustic emission in fracture toughness testing and the relation between static and dynamic fracture toughness of structural steels. The reader is then introduced to methods for determining stress-intensity factors of simplified geometries of structural parts; stress analysis of pressure vessels by thermal shock; the fracture toughness of constructional steels in cyclic loading; and fracture processes and fracture toughness in powder forged steels. The remaining chapters explore the influence of low-cycle damage on fracture toughness; fracture of structural alloys at temperatures approaching absolute zero; fracture mechanisms in Si-Al-O-N ceramics; propagation and bifurcation of cracks in quartz; and the effect of pressure and environment on the fracture and yield of polymers. This monograph will be a useful resource for metallurgists, materials scientists, and structural and mechanical engineers.
Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1966 with total page 1576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Report No FHWA RD written by United States. Federal Highway Administration. Offices of Research and Development and published by . This book was released on 1976 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture Mechanics of Rock written by Barry Kean Atkinson and published by Elsevier. This book was released on 2015-05-11 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of crack problems through fracture mechanics has been applied to the study of materials such as glass, metals and ceramics because relatively simple fracture criteria describe the failure of these materials. The increased attention paid to experimental rock fracture mechanics has led to major contributions to the solving of geophysical problems. The text presents a concise treatment of the physics and mathematics of a representative selection of problems from areas such as earthquake mechanics and prediction, hydraulic fracturing, hot dry rock geothermal energy, fault mechanics, and dynamic fragmentation.
Download or read book A Selected Listing of NASA Scientific and Technical Reports for 1966 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1967 with total page 2084 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Selected Listing of NASA Scientific and Technical Reports for written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1966 with total page 2088 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1967 with total page 2300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stress intensity Factors and Crack opening Displacements for Round Compact Specimens written by and published by . This book was released on 1979 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture Mechanics written by John H. Underwood and published by ASTM International. This book was released on 1986 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture mechanics fifteenth symposium written by Melvin F. Kanninen and published by ASTM International. This book was released on with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
