3 edition of The surface crack problem in an orthotropic plate under bending and tension found in the catalog.
The surface crack problem in an orthotropic plate under bending and tension
by National Aeronautics and Space Administration, Langley Research Center, For sale by the National Technical Information Service in Hampton, Va, [Springfield, Va
Written in English
|Statement||Bing-Hua Wu and F. Erdogan.|
|Series||NASA contractor report -- 178281., NASA contractor report -- NASA CR-178281.|
|Contributions||Erdogan, F., Langley Research Center.|
|The Physical Object|
unknown since fatigue cracks propagate as a result of a ﬂuctuating tensile stress - nuts are under a compressive stress and so any pre-existing cracks tend not to propagate. 1. The quality of the surface ﬁnish of the threads is known to have an effect on fatigue life: the smoother the surface, the higher is the fatigue life. to the problem of surface f Xaws in plates in tension and bending due to the fact that in the literature salutlons of e tress intensity factors vary vide la when the plate thickness is mumller den compared with other dbensions of the specimen and crack pentrates deeper in .
the problem of predicting failure in notched laminates1. These investigations have generally focused on the response of laminates to in-plane tension, compression or shear. However, out-of-plane bending, twisting, or shear is a reasonably common load situation in aircraft structures. For example, in an. In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material. For example, when a solid vertical bar is supporting an overhead weight, each particle in the bar pushes on the particles immediately below it.
In this paper the branched crack problem in an isotropic and an orthotropic material is studied using Lo`s formulation, for the purpose of explaining the influence of geometry on crack turning for mixed mode fracture. First the complete elasticity solution for the branched crack problem in an isotropic and anisotropic infinite panel is obtained. Figure A rectangular plate weaken by a circular arc crack subjected to biaxial tension Figure An infinite long strip containing a straight crack subjected to uniaxial tension Figure A semi-infinite plate containing a straight crack on the edge subjected to uniaxial tension at infinity Figure Crack in a generally.
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(PDF). collinear, semi-elliptic surface cracks or through cracks in an infinite plate sUbjected to uniform bending or tension. This problem is formulated by using Reissner's plate bending theory and considering the material orthotropy with the isotropic medium as a special case.
The problem is reduced to a system of. The elasticity problem for an infinite orthotropic flat plate containing a series of through and part-through cracks and subjected to bending and tension loads is considered. The problem is formulated by using Reissner's plate bending theory and considering three dimensional materials by: 1.
The elasticity problem for an infinite orthotropic flat plate containing a series of through and part-through cracks and subjected to bending and tension loads is considered.
The problem is formulated by using Reissner's plate bending theory Author: B. Wu and F. Erdogan. The general mode I crack problem for orthotropic plates under bending and membrane loading is considered.
First the bending problem for a series of coplanar through cracks is formulated and the effect of material orthotropy on the stress intensity factors is by: The present paper deals with the problem of cracks propagating in thin orthotropic flat plates under bending loads.
We define the mechanical behavior of an orthotropic lamina in. The problem of estimating the bending stress distribution in the neighborhood of a crack located on a single line in an orthotropic elastic plate of constant thickness subjected to bending.
Aksel and Erdogan studied the surface crack problem in an orthotropic plate under tension and bending. The authors in their formulation for stress intensity factors formulated crack terms using the LSM. a surface crack penetrating part through the thickness.
At re mote distances from the crack site, the plate is subjected to loads equipollent to a uniform simple tension in the s2-direction and to pure bending about the rr-i-direction. This configuration, and its variants for curved shells rather than plates, is of considerable in.
Stress intensity factors for deep cracks in bending and compact tension specimens W.K. Wilson (Engineering Fracture Mechanics ) An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries J.C.
Newman, Jr. (NASA Technical Note D ). The general problem is formulated in terms of a system of singular integral equations for arbitrary crack surface tractions. As examples Modes I and II stress-intensity factors are calculated for the strip having an internal or an edge crack with various lengths and angular orientations.
The surface crack problem in an orthotropic plate under bending and tension by Bing-Hua Wu (Book) 2 editions published in in English. () Two arbitrarily situated cracks in an elastic plate under flexure.
International Journal of Solids and Structures() An arbitrarily oriented crack in a semi-infinite medium with a surface layer under tension. This chapter presents general information on the present-day concepts of the description and analysis of fracture phenomena in the bodies loaded along preexisting cracks as the non-classical problems.
crack problems with arbitrarily oriented straight or curved cracks in orthotropic nonhomogeneous materials.
The development includes both the Lekhnitskii and Stroh formalisms. The former is physical and relatively simple, and the latter is mathematically elegant.
The gradation of orthotropic material properties is integrated into the ele. surface dimensions. The thickness is usually constant but may be variable and is measured normal to the middle surface of the plate, Fig.
Fig. A plate Plate Theory Plates subjected only to in-plane loading can be solved using two-dimensional plane stress theory1 (see Book I, §).
On the other hand, plate theory is. The Mixed Mode Crack Problem in an Inhomogeneous Orthotropic Medium,” Indentation of a Functionally Graded Plate by a Rigid Spherical Indenter in the Presence of a Semi-Elliptic Surface Crack.
Nonlinear Dynamic of Cantilever Functionally Graded Plates Under the Thermalmechanical Loads. IMECE Related Chapters. Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials.
It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture.
In modern materials science, fracture mechanics is an important tool used to improve. Plate Deflection and Stress. This calculation deals with the deflection, stress and variation of forces in the loaded flat plates. The calculation is designed for plates that are flat, homogeneous, with the same thickness and made from one material.
Stress Concentration Factor, \(K_t\) The Stress Concentration Factor, \(K_t\), is the ratio of maximum stress at a hole, fillet, or notch, (but not a crack) to the remote stress.
For our case of a hole in an infinite plate, \(K_t = 3.\) Do not confuse the Stress Concentration Factor here with the Stress Intensity Factor used in crack analyses.
In an elliptical crack of length 2a and width 2b, under an applied external stress s, the stress at the ends of the major axes is given by: where p is the radius of curvature of the crack tip.
A stress concentration factor is the ratio of the highest stress (s max)) to a reference stress (s) of the gross cross-section.3. Elastic bending of beams 4. Failure of beams 5. Buckling of columns, plates and shells 6. Torsion of shafts 7.
Static and spinning disks 8. Contact stresses 9. Estimates for stress concentrations Sharp cracks Pressure vessels Vibrating beams, tubes and disks Creep Heat and matter flow Solutions for diffusion equations Circular hole in an inﬁnite plate under remote tensile load The stress distributions around a central hole can be estimated for the simple case of an inﬁnitely wide plate subjected to tensile loading.
The overall stress distributions in the plate are given by (Figure 1) σ 2 4 2 a a a σrr(r, θ) = 2 1− r2 + 1+3 cos(2θ) (1a) r4.