Stress Distribution in an Edge-Stiffened Semi-infinite Elastic Plate Containing a Circular Hole

1992 ◽  
Vol 59 (4) ◽  
pp. 789-795 ◽  
Author(s):  
Eung J. Lee ◽  
Eric C. Klang
Keyword(s):  
Shear Stress ◽  
Stress Concentration ◽  
Circular Hole ◽  
Elastic Plate ◽  
Stress Condition ◽  
Mapping Technique ◽  
System Of Equations ◽  
Stress Distributions ◽  
Bipolar Coordinates ◽  
In Series

An edge-stiffened semi-infinite elastic plate containing a circular hole under tension at infinity has been studied using a conformal mapping technique. Melan ’s stiffener condition in Cartesian coordinates has been newly formulated as a resultant shear stress condition in bipolar coordinates. The solution is sought in series form, and by truncating the system of equations, it is numerically solved. Pertinent stress distributions are examined to illustrate the roll of the stiffener under the presence of a circular hole near the straight edge. It has been concluded that the stiffener contributes to indirectly suppressing the stress concentration around the hole.

scholarly journals Stress Concentration and Optimized Analysis of an Arbitrarily Shaped Hole with a Graded Layer under Anti-Plane Shear

2018 ◽  
Vol 8 (12) ◽  
pp. 2619 ◽  
Author(s):  
Yonggang Guan ◽  
Yun Li
Keyword(s):  
Shear Stress ◽  
Stress Concentration ◽  
General Solution ◽  
Conformal Mapping ◽  
Functionally Graded ◽  
Mapping Technique ◽  
Stress Distributions ◽  
Plane Shear ◽  
Numerical Examples ◽  
Shaped Hole

This paper provides a general solution to the anti-plane problem of an arbitrarily shaped hole reinforced with a functionally graded (FG) layer in a homogenous plate. By using the piece-wise homogeneous layers method and the conformal mapping technique, the complex potentials in the form of series in the FG layer are derived based on the theory of complex variable functions. The influence of the FG layer on the shear stress distributions around some typically shaped holes are discussed by numerical examples, and then the optimized analysis of the stress concentration factor (SCF) is performed. The results showed that the SCF of various shaped holes can be noticeably reduced by the optimum design of the material variations in the layer, and the most significant one in this paper is the triangular hole, whose SCF can be decreased by more than 50%.

The Bending and Twisting of a Flat Elastic Plate with a Reinforced Circular Hole

1960 ◽  
Vol 11 (2) ◽  
pp. 137-158 ◽  
Author(s):  
R. Hicks
Keyword(s):  
Stress Concentration ◽  
Boundary Conditions ◽  
Circular Hole ◽  
Classical Theory ◽  
Elastic Plate ◽  
Radial Stress ◽  
Lateral Loading ◽  
Stress Variation ◽  
Wide Range

SummaryThis paper considers the problem of a reinforced circular hole in a bent or twisted flat elastic plate having small deflections. The reinforcement is chosen so that the ratio of its radial width to the diameter of the hole is small; this implies that there is no radial stress variation across sections of the reinforcement. Using the classical theory for bending, expressions are obtained for the boundary conditions at the junction of the reinforcement and plate. The expressions are general in so far as they are also applicable to plates under the action of lateral loading. The following particular problems are considered: —(a) uniform bending about one or two axes, (b) uniform twisting about two axes. For the particular case of uniform bending about one axis, data has been obtained for the stress concentration around holes for plates and reinforcements having a reasonably wide range of practical dimensions.

scholarly journals Experimental Investigation of Stress Distributions in 3D Printed Graded Plates with a Circular Hole

Materials ◽  
2021 ◽  
Vol 14 (24) ◽  
pp. 7845
Author(s):  
Quanquan Yang ◽  
He Cao ◽  
Youcheng Tang ◽  
Yun Li ◽  
Xiaogang Chen
Keyword(s):  
Experimental Investigation ◽  
Stress Concentration ◽  
Young’S Modulus ◽  
Circular Hole ◽  
Young's Modulus ◽  
Theoretical Models ◽  
Research Field ◽  
Functionally Graded ◽  
Stress Distributions ◽  
Functionally Graded Plates

An experimental investigation is presented for the stress distributions in functionally graded plates containing a circular hole. On the basis of the authors’ previously constructed theoretical model, two kinds of graded plates made of discrete rings with increasing or decreasing Young’s modulus were designed and fabricated in virtue of multi-material 3D printing. The printed graded plates had accurate size, smooth surface, and good interface. The strains of two graded plates under uniaxial tension were measured experimentally using strain gages. The stresses were calculated within the range of linear elastic from the measured strains and compared with analytical theory. It is found that the experimental results are consistent with the theoretical results, and both of them indicate that the stress concentration around the hole reduces obviously in graded plates with radially increasing Young’s modulus, in comparison with that of perforated homogenous plates. The successful experiment in the paper provides a good basis and support for the establishment of theoretical models and promotes the in-depth development of the research field of stress concentration in functionally graded plates.

Numerical Analysis of Interlaminar Stress Distributions around Hole in Thermoplastic Laminate

2011 ◽  
Vol 368-373 ◽  
pp. 1543-1546
Author(s):  
Guo Hua Zhao ◽  
Qing Lian Shu ◽  
Bo Sheng Huang
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Stress Concentration ◽  
Numerical Models ◽  
Finite Element Code ◽  
Stress Distributions ◽  
Interlaminar Stress ◽  
Hole Edge ◽  
Interlaminar Shear Stress ◽  
Interlaminar Shear

This paper investigates the interlaminar stress distributions at hole edge of notched thermoplastic laminates. Two numerical models of AS4/PEEK laminates with configuration of [±25]S4 and [0/±45/90]2S were built and studied by finite element code ANSYS. The results show: (1) The angle-ply configuration ([±25]S4) may cause more severe concentration of interlaminar shear stress at hole edge; (2) the quasi-isotropic configuration ([0/±45/90]2S) can lessen the stress concentration at hole edge.

Finite Element Analysis of Tire/Rim Interface Forces Under Braking and Cornering Loads

1992 ◽  
Vol 20 (2) ◽  
pp. 83-105 ◽  
Author(s):  
J. P. Jeusette ◽  
M. Theves
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Contact Pressure ◽  
Element Model ◽  
Shear Stresses ◽  
Detailed Knowledge ◽  
Stress Distributions ◽  
Element Analysis ◽  
Plane Shear ◽  
Normal Contact

Abstract During vehicle braking and cornering, the tire's footprint region may see high normal contact pressures and in-plane shear stresses. The corresponding resultant forces and moments are transferred to the wheel. The optimal design of the tire bead area and the wheel requires a detailed knowledge of the contact pressure and shear stress distributions at the tire/rim interface. In this study, the forces and moments obtained from the simulation of a vehicle in stationary braking/cornering conditions are applied to a quasi-static braking/cornering tire finite element model. Detailed contact pressure and shear stress distributions at the tire/rim interface are computed for heavy braking and cornering maneuvers.

PIV Validation of Blood-heart Valve Leaflet Interaction Modelling

2007 ◽  
Vol 30 (7) ◽  
pp. 640-648 ◽  
Author(s):  
R. Kaminsky ◽  
K. Dumont ◽  
H. Weber ◽  
M. Schroll ◽  
P. Verdonck
Keyword(s):  
Shear Stress ◽  
Heart Valve ◽  
Cfd Simulation ◽  
Flow Simulation ◽  
Data Sets ◽  
Arbitrary Lagrangian Eulerian ◽  
Velocity Magnitude ◽  
Image Velocimetry ◽  
Interaction Modelling ◽  
In Series

The aim of this study was to validate the 2D computational fluid dynamics (CFD) results of a moving heart valve based on a fluid-structure interaction (FSI) algorithm with experimental measurements. Firstly, a pulsatile laminar flow through a monoleaflet valve model with a stiff leaflet was visualized by means of Particle Image Velocimetry (PIV). The inflow data sets were applied to a CFD simulation including blood-leaflet interaction. The measurement section with a fixed leaflet was enclosed into a standard mock loop in series with a Harvard Apparatus Pulsatile Blood Pump, a compliance chamber and a reservoir. Standard 2D PIV measurements were made at a frequency of 60 bpm. Average velocity magnitude results of 36 phase-locked measurements were evaluated at every 10° of the pump cycle. For the CFD flow simulation, a commercially available package from Fluent Inc. was used in combination with in-house developed FSI code based on the Arbitrary Lagrangian-Eulerian (ALE) method. Then the CFD code was applied to the leaflet to quantify the shear stress on it. Generally, the CFD results are in agreement with the PIV evaluated data in major flow regions, thereby validating the FSI simulation of a monoleaflet valve with a flexible leaflet. The applicability of the new CFD code for quantifying the shear stress on a flexible leaflet is thus demonstrated. (Int J Artif Organs 2007; 30: 640–8)

Propagation of a Sudden Rotary Disturbance in an Elastic Plate in Plane Stress

1956 ◽  
Vol 23 (2) ◽  
pp. 284-286
Author(s):  
J. N. Goodier ◽  
W. E. Jahsman
Keyword(s):  
Shear Stress ◽  
Radial Velocity ◽  
Plane Stress ◽  
Elastic Plate ◽  
Uniform Shear ◽  
Subsequent Motion

Abstract Detailed results are found for two plane-stress problems of an elastic plate with a hole from which a symmetrical disturbance is propagated. In the first a uniform shear stress is suddenly applied and maintained at the hole. In the second a uniform (rotary) velocity is suddenly applied and maintained. The subsequent motion is entirely rotary and involves shear stress only. The problems are mathematically analogous to those of symmetrical pressure and radial velocity at the hole, already solved by Kromm, and his analysis is followed. The existence of a similar analogy in the statical cases is well known.

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