Axisymmetrical Stress Analysis and Strength of Epoxy-Steel Composite Cylinders Under Push-Off Loadings

2007 ◽  
Author(s):  
Toshiyuki Sawa ◽  
Taro Hasegawa
Keyword(s):  
Normal Stress ◽  
Young’S Modulus ◽  
Young's Modulus ◽  
Stress Singularity ◽  
Theory Of Elasticity ◽  
Interface Stress ◽  
Stress Distributions ◽  
Sheer Stress ◽  
Three Body ◽  
Composite Cylinders

Composite parts have been used widely for lightening and strengthening mechanical parts, and it is necessary to know the contact stress distributions at the interfaces of the composites. In this paper, the interface stress distribution in composite cylinders of epoxy and steel under push-off loadings is analyzed using axisymmetrical theory of elasticity as a three-body contact problem. Analogous test was conducted to determine the relationship between the normal stress and the shear stress. Using two stress singularity parameters obtained from the numerical stress analyses and analogous test results, a method for estimating the strength of the composite cylinders was proposed. In the numerical calculations, the effects of the diameter and Young’s modulus of the solid cylinders on the interface stress distributions are clarified. It is seen that the normal stress and the sheer stress at the lower edges of the interface increase as Young’s modulus of the solid cylinders increases. It is also found seen that the normal stress increases and the sheer stress decreases as the diameter of the solid cylinders increases. The experiments were carried out for measuring the ruptured push-off loadings of the composite cylinders. In the experiments, the effects of the diameter of steel cylinders were examined. It is seen that the push-off strength increases as the diameter of the steel cylinders increases. The numerical results are in fairly good agreements with the experimental results.

Stress Analysis of Adhesively Bonded Lap Joints of Hollow Shafts Subjected to Torsional Moments

2000 ◽  
Author(s):  
Yuichi Nakano ◽  
Yukihisa Takagi ◽  
Toshiyuki Sawa
Keyword(s):  
Stress Analysis ◽  
Young’S Modulus ◽  
Young's Modulus ◽  
Dissimilar Materials ◽  
Theory Of Elasticity ◽  
Lap Joints ◽  
Experimental Result ◽  
Adhesively Bonded ◽  
Three Body ◽  
Hollow Shafts

Abstract The stress and strain distributions in adhesively bonded lap joints of hollow shafts with dissimilar materials subjected to torsional moments are examined using an axisymmetric theory of elasticity. In the analysis, the joint is modelled as an elastic three-body contact problem, and the hollow shafts, and the adhesive are respectively replaced by finite hollow cylinders. In the numerical calculations, the effects of the ratio of Young’s modulus of the adhesive to that of the shaft, the overlap length, and the thickness of the adhesive on the stress distributions at the interfaces in the joint are clarified. It is shown that the shear stress becomes singular at the ends of the interfaces between the shafts, and the adhesive, and increases near the ends of the interfaces with a decrease of Young’s modulus of the shaft, and of the thickness of the adhesive. For verification of the stress analysis, the strain distribution at an outer surface of an adhesively bonded lap joint was measured and a fairly good agreement was shown by comparing the experimental result with the analytical one.

scholarly journals Mechanical properties and fracture dynamics of silicene membranes

2014 ◽  
Vol 16 (36) ◽  
pp. 19417-19423 ◽  
Author(s):  
T. Botari ◽  
E. Perim ◽  
P. A. S. Autreto ◽  
A. C. T. van Duin ◽  
R. Paupitz ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Temperature Dependence ◽  
Young’S Modulus ◽  
Edge Effects ◽  
Critical Strain ◽  
Young's Modulus ◽  
Stress Distributions ◽  
Fracture Dynamics ◽  
Poisson's Ratios ◽  
Poisson’S Ratios

A thorough study on the mechanical properties of silicene membranes. Young's modulus, Poisson's ratios, critical strain values, edge effects, dynamics of edge reconstructions, temperature dependence and stress distributions were investigated.

Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate

2018 ◽  
Vol 26 (4) ◽  
pp. 493-499 ◽  
Author(s):  
Alexander S. Leonov ◽  
Alexander N. Sharov ◽  
Anatoly G. Yagola
Keyword(s):  
Error Estimate ◽  
Young’S Modulus ◽  
Young's Modulus ◽  
Posteriori Error ◽  
Theory Of Elasticity ◽  
A Posteriori Error Estimate ◽  
Posteriori Error Estimate ◽  
A Posteriori ◽  
Unknown Parameters ◽  
A Posteriori Error

Abstract This article presents the solution of a special inverse elastography problem: knowing vertical displacements of compressed biological tissue to find a piecewise constant distribution of Young’s modulus in an investigated specimen. Our goal is to detect homogeneous inclusions in the tissue, which can be interpreted as oncological. To this end, we consider the specimen as two-dimensional elastic solid, displacements of which satisfy the differential equations of the linear static theory of elasticity in the plain strain statement. The inclusions to be found are specified by parametric functions with unknown geometric parameters and unknown Young’s modulus. Reducing this inverse problem to the search for all unknown parameters, we solve it applying the modified method of extending compacts by V. K. Ivanov and I. N. Dombrovskaya. A posteriori error estimate is carried out for the obtained approximate solutions.

Influence of Mechanical Properties of Adhesives on Stress Distributions in Lap Joints

Volume 1 ◽  
2004 ◽  
Author(s):  
Xiaocong He ◽  
S. Olutunde Oyadiji
Keyword(s):  
Young’S Modulus ◽  
Young's Modulus ◽  
Three Dimensional ◽  
Lap Joints ◽  
Stress Distributions ◽  
Element Analysis ◽  
Linear Elastic ◽  
Cantilevered Beam ◽  
Cantilevered Beams ◽  
Different Characteristics

This paper deals with stress analysis of a single lap-jointed cantilevered beam using the three dimensional linear elastic finite element analysis (FEA) technique. Numerical examples are provided to show the influence on the stresses of the single lap-jointed cantilevered beams using adhesives of different characteristics which encompass the entire spectrum of viscoelastic behaviour. The results indicate that the stress distributions of a single-lap jointed cantilevered beam are strongly affected by both Young’s modulus and Poisson’s ratios. The maximum stress ratio was used to determine maximum values of Young’s Modulus required in order that the static stresses of an adhesively bonded cantilevered beam will not be more than given value of that of the equivalent homogeneous structure, that is a geometrically similar beam but without a joint. The analysis results also show that by choosing suitable adhesives, the maximum stresses can be reduced and the strength can be improved.

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.

A Stress Analysis and Strength Estimation of Stepped Lap Adhesive Joints Under Static and Impact Tensile Loadings

2005 ◽  
Author(s):  
Toshiyuki Sawa ◽  
Kohei Ichikawa
Keyword(s):  
Young’S Modulus ◽  
Young's Modulus ◽  
Three Dimensional ◽  
Adhesive Joints ◽  
Stress Distributions ◽  
Maximum Value ◽  
Dimensional Finite Element ◽  
Static Tensile ◽  
Three Dimensional Finite Element ◽  
The Impact

The stress variations and stress distributions in stepped-lap adhesive joints of dissimilar adherends under impact tensile loadings were analyzed in elastic range using three-dimensional finite element method. The impact loadings were applied to the lower adherend by dropping a weight. The stress distributions in stepped-lap adhesive joints of dissimilar adherends under static tensile loadings were also analyzed using FEM. The effects of Young’s modulus of the adherends, the adhesive thickness and the number of butted steps of adherents ware examined under both impact and static loadings. As the results, The maximum value of stress σ1 increased as Young’s modulus of the adherends increased for the impact loadings. The maximum value of stress σ1 increased as the numbers of steps in the adherends increased for the static loadings. In addition, the experiments to measure the strain response of joints subjected to impact tensile loadings were carried out using strain gauges. A fairly good agreement was found between the numerical and the measured results concerning the strain responses.

3-D FEM Stress Analysis and Strength of Adhesive-Rivets Combination Joints Under Static and Impact In-Plane Bending Moments

2008 ◽  
Author(s):  
Ryo Nogaito ◽  
Toshiyuki Sawa ◽  
Atsushi Karami
Keyword(s):  
Young’S Modulus ◽  
Impact Load ◽  
Young's Modulus ◽  
Three Dimensional ◽  
Axial Direction ◽  
Bending Moments ◽  
Stress Distributions ◽  
Plane Bending ◽  
Peel Stress ◽  
The Impact

Stress distributions in adhesive-rivets combination joints subjected static bending moments are calculated using three-dimensional finite-element calculations. The stress propagation and stress distribution subjected to impact bending moments are also calculated using three-dimensional FEM calculations. In the FEM calculations, the effects of number, position and diameter of rivets, and Young’s modulus of the rivet on the stress distributions at the adhesive interface are examined from fail-safe design standpoints. From the FEM results, the maximum value of peel stress decreases as the position of rivets in the axial direction is decreased and the position of rivets in the width direction increases in the joints with two and four rivets. It is also found that the results on the stress distributions in the joints under the static bending moments show the same tendency of the joints under the impact in-plane bending moments. Concerning the effect of Young’s modulus of the rivet, it is not seen on the peel stress under the static in-plane bending moments. For the verification of the FEM calculations, the experiments were carried out to measure the strain response under both static and impact load conditions. Fairly good agreements are observed between the FEM calculations and the measured results.

scholarly journals On a method for determination of Poisson’s ratio and Young modulus of a material

2018 ◽  
Vol 226 ◽  
pp. 03027 ◽  
Author(s):  
Vladimir B. Zelentsov ◽  
Evgeniy V. Sadyrin ◽  
Aleksandr G. Sukiyazov ◽  
Nataliya Yu. Shubchinskaya
Keyword(s):  
Contact Problem ◽  
Young’S Modulus ◽  
Contact Area ◽  
Poisson’S Ratio ◽  
Young's Modulus ◽  
Young Modulus ◽  
Theory Of Elasticity ◽  
Poisson's Ratio ◽  
Parabolic Cylinder ◽  
And Control

On the base of modernized NanoTest 600 Platform 3 indentation method is proposed to determine elastic parameters – Poisson’s ratio and Young’s modulus – of a material while loading in an elastic region. The experiment is based on procedure: lateral surface of indenter tip with the shape of parabolic cylinder penetrates into the specimen. NanoTest 600 was equipped by additional optics, backlight and device for spatial orientation of the specimen. This modernization allows to control the process of the indenter penetration both along its length and from the edges, so that one can observe and measure the width of the contact area and control the depth of the indentation area in a sample material. Mathematical modeling of the indentation process was conducted within the framework of plane theory of elasticity. This required solution of the contact problem on indentation of a rigid indenter with a parabolic shape into an elastic strip coupled with a non-deformable substrate. The fulfilment of condition of zeroing the contact stresses at the edges of the indenter with a known width of the contact area allows to determine the Poisson’s ratio, and condition of static equilibrium of the contact problem helps to find Young’s modulus of a strip material.

Two-Dimensional Stress Analysis and the Strength Estimation of Adhesive Butt Joints Under Static Tensile Loadings and Bending Moments

2005 ◽  
Author(s):  
Toshiyuki Sawa ◽  
Yosuke Akita
Keyword(s):  
Stress Analysis ◽  
Stress Singularity ◽  
Adhesive Bond ◽  
Theory Of Elasticity ◽  
Two Dimensional ◽  
Bending Moments ◽  
Stress Distributions ◽  
Butt Joints ◽  
Static Tensile ◽  
Good Agreement

This paper deals with a two-dimensional stress analysis of adhesive butt joints under static tensile loading and bending moments in order to contribute to an establishment of the fracture criteria of joints. Similar adherends and an adhesive bond are replaced with finite strips in the analyses. Stress distributions in adhesive joints are analyzed strictly by using the two-dimensional theory of elasticity. The effects of stiffness and thickness of adhesive bonds on the stress distributions at the interfaces are shown by numerical computations. It is found that the stress singularity occurs at the ends of the interfaces. For verification, experiments to measure the strains and the strength were carried out. The analytical results are in fairly good agreement with the experimental ones. In addition, the analytical result is also compared with the result obtained by F.E.M in order to verify the stress distributions at the interfaces. It is shown that are in a fairly good agreement.

scholarly journals A Laboratory Apparatus for Measuring the Lateral Strains in Tension and Compression Members, with some Applications to the Measurement of the Elastic Constants of Metals

1906 ◽  
Vol 25 (1) ◽  
pp. 452-457 ◽  
Author(s):  
E. G. Coker
Keyword(s):  
Young’S Modulus ◽  
Elastic Constants ◽  
Young's Modulus ◽  
Theory Of Elasticity ◽  
Lateral Strain ◽  
Laboratory Apparatus ◽  
Lateral Extension ◽  
Lateral Contraction ◽  
Compression Members ◽  
Tension And Compression

The recognition of the importance of lateral strain in the theory of elasticity, as now taught in most engineering colleges, makes it very desirable that students should make experiments upon the lateral contraction of tension specimens and the lateral extension of compression pieces with the same facility that they now determine the values of Young's modulus and the modulus of shear.

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