Download or read book Combined Stresses in an Orthotropic Plate Having a Finite Crack written by D. D. ANG and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: By using a formulation in integral equations, a solution for the combined extension-classical ben ing stress an displacement olution is presented for the case of an infinite orthotropic flat plate containing a finite crack. Primary emphasis is placed upon the stress s near the crack point. Qualitatively no major difference in behavior due to orthotropy was found, certain quantitative features are noted, mainly as a function of the characteristic rigidity ratio (E sub x/E sub y) to the 1/2 power. The inverse square root character of the isotropic stress bending and extension is not changed by orthotropy, although amplitudes and distribution are affected. Account is taken of recen work of Knowles and Wang (GALCIT SM 60-11, July 1960) dealing with Reissner bending of the plate in deriving a bending-extension interaction curve for fracture initiation. The interaction is linear if an octahedral shearing stress criterion is used. (Author).

Download or read book Elastic Stress Distribution in a Finite width Orthotropic Plate Containing a Crack written by Alexander Mendelson 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 The Surface Crack Problem in an Orthotropic Plate Under Bending and Tension written by and published by . This book was released on 1987 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Plates and shells with cracks written by George C. Sih and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of a series on Mechanies of Fraeture deals with eraeks in plates and shelIs. It was noted in Volume 2 on three-dimensional eraek problems that additional free surfaees can lead to substantial mathematical complexities, often making the analysis unmanageable. The theory of plates and shelIs forms a part of the theory of elasticity in which eertain physieal assumptions are made on the basis that the distanee between two bounded surfaees, either fiat or eurved, is small in eomparison with the overall dimen sions of the body. In modern times, the broad and frequent applieations of plate- and shell-like struetural members have aeted as a stimulus to whieh engineers and researchers in the field of fracture meehanies have responded with a wide variety of solutions of teehnieal importanee. These eontributions are covered in this book so that the reader may gain an understanding of how analytieal treat me nt s ofplates and shells containing initial imperfeetions in the form of eraeks are earried out. The development of plate and shell theories has involved long standing controversy on the eonsisteney of omitting eertain small terms and at the same time retaining others of the same order of magnitude. This defieieney depends on the ratio of the plate or shell thiekness, h, to other eharaeteristie dimensions and eannot be eompletely resolved in view of the approximations inherent in the transverse dependence of the extensional and bending stresses.

Download or read book On the Application of Fracture Mechanics to Orthotropic Plates written by Edward Ming-Chi Wu and published by . This book was released on 1963 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elastic Stress Distribution in a Finite width Orthotropic Plate Containing a Crack written by Alexander Mendelson and published by . This book was released on 1964 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elastostatic Stress Analysis of Orthotropic Rectangular Center cracked Plates written by George Stephen Gyékényesi and published by . This book was released on 1972 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mapping-collocation method was developed for the elastostatic stress analysis of finite, anisotropic plates with centrally located traction-free cracks. The method essentially consists of mapping the crack into the unit circle and satisfying the crack boundary conditions exactly with the help of Muskhelishvili's function extension concept. The conditions on the outer boundary are satisfied approximately by applying the method of least-squares boundary collocation. A parametric study of finite-plate stress intensity factors, employing this mapping-collocation method, is presented. It shows the effects of varying material properties, orientation angle, and crack-length-to-plate-width and plate-height-to-plate-width ratios for rectangular orthotropic plates under constant tensile and shear loads.

Download or read book Hybrid Stress and Fracture Analysis of Orthotropic Media written by Kangyu He and published by . This book was released on 2001 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Surface and Through Crack Problems in Layered Orthotropic Plates written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-04 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analytical method is developed for a relatively accurate calculation of Stress Intensity Factors in a laminated orthotropic plate containing a through or part-through crack. The laminated plate is assumed to be under bending or membrane loading and the mode 1 problem is considered. First three transverse shear deformation plate theories (Mindlin's displacement based first-order theory, Reissner's stress-based first-order theory, and a simple-higher order theory due to Reddy) are reviewed and examined for homogeneous, laminated and heterogeneous orthotropic plates. Based on a general linear laminated plate theory, a method by which the stress intensity factors can be obtained in orthotropic laminated and heterogeneous plates with a through crack is developed. Examples are given for both symmetrically and unsymmetrically laminated plates and the effects of various material properties on the stress intensity factors are studied. In order to implement the line-spring model which is used later to study the surface crack problem, the corresponding plane elasticity problem of a two-bonded orthotropic plated containing a crack perpendicular to the interface is also considered. Three different crack profiles: an internal crack, an edge crack, and a crack terminating at the interface are considered. The effect of the different material combinations, geometries, and material orthotropy on the stress intensity factors and on the power of stress singularity for a crack terminating at the interface is fully examined. The Line Spring model of Rice and Levy is used for the part-through crack problem. The surface crack is assumed to lie in one of the two-layered laminated orthotropic plates due to the limitation of the available plane strain results. All problems considered are of the mixed boundary value type and are reduced to Cauchy type of singular integral equations which are then solved numerically. Erdogan, Fazil and Wu, Binghua Unspecified Center NASA-CR-188188, NAS 1.26: ..

Download or read book Finite element computer program to analyze cracked orthotropic sheets written by and published by . This book was released on 1976 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book In plane Stresses in Orthotropic Plates Using Finite Element Methods written by Ihsan ul Bari and published by . This book was released on 1968 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elastostatic Stress Analysis of Finite Anisotropic Plates with Centrally Located Traction free Cracks written by George Stephen Gyékényesi and published by . This book was released on 1972 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thermal Stress in an Orthotropic Plate Containing a Pair of Coplanar Central Cracks written by Y. M. Tsai and published by . This book was released on 1985 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NASA Technical Note written by and published by . This book was released on 1972 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Effect of a Circular Inclusion on the Stresses Around Two Collinear Finite Line Cracks in a Plate Under Tension written by Y. C. Hsu and published by . This book was released on 1972 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation aims at the fracture stability (toughness) of the flat large elastic cracked plate in the presence of an elastic circular inclusion. To this end, the crack-tip stress intensity factor for plane problems, K, in the field theory of elastic fracture, is proposed as a criterion for the fracture stability. Here K is defined as the magnitude of stresses in the vicinity of the end of the crack and determines the onset of rapid fracture in the elastic theory of Griffith-Irwin. Of interest is K in a flat large elastic plate with two collinear finite cracks under uniform stresses at infinity, containing an elastic circular inclusion. The analysis is based on the two-dimensional theory of elasticity and by use of the Muskhelishvilli complex variable approach. Numerical calculations were carried out for the variation of K with the configuration and elastic properties of the plate and the inclusion, for the case of simple tension in the y direction. (Author).

Download or read book Thermally Induced Stress Intensity in a Homogeneous Plate Containing a Finite Length Crack Preprint written by and published by . This book was released on 2007 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The delamination of orthotropic laminates containing finite-length cracks and subject to thermal gradients is examined. The exact limiting case solutions for infinitesimal- and infinite-length cracks are known, and are equal to each other when the crack length is approximately equal to the plate thickness. However, in the transition region of crack length from about 1 to 5 times the plate thickness, both limit solutions overestimate the energy release by 20-100%. Hence, an analysis was developed to better predict the energy release rate for such finite-length cracks. The model is a modification of the infinite-crack analysis of Hutchinson and Lu (1995, ASME J. Eng. Mat. Tech., 117 (4) pp. 386-390) and provides a closed form expression for the elastic energy release rate in a plane-strain orthotropic flat plate that agrees well with numerical values for cracks of length approximately half of the plate thickness and larger. The analytic result is shown to agree well with finite element results over a wide range of crack lengths, depths and interface conductivity, both for isotropic and orthotropic materials.

Download or read book Approximate Determination of Stresses in a Rectangular Orthotropic Plate of Finite Dimensions During Symmetrical Compression by an Intermittent Load written by V. F. Bondin and published by . This book was released on 1969 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use is frequently made of parts with a rectangular shape which are subjected to the symmetric action of an evenly distributed intermittent compressive load or of a load distributed over part of the length of the unit. In many cases these parts are manufactured from orthotropic materials of artificial or natural derivation. In particular, in wooden constructions such parts, operating with local buckling, include various substrates, frameworks, wall plates, supporting parts of certain beams and girders, etc. For determination of stresses in structures of this type by theoretical means it is possible to use the method of the theory of elasticity of an anisotropic body, considering them to be orthotropic plates of a thickness equal to unity. (Author).