scholarly journals Erratum to : General Solution of a 2-Dimensional Elastic Body which has an arbitrary boundary and its stress distribution as a boundary condition

1949 ◽  
Vol 1949 (4) ◽  
pp. a1b-a1b
Keyword(s):  
Boundary Condition ◽  
Stress Distribution ◽  
General Solution ◽  
Elastic Body ◽  
Arbitrary Boundary

Numerical Solution for Dissimilar Confocally Elliptic Layers in Antiplane Elasticity

2016 ◽  
Vol 08 (05) ◽  
pp. 1650071 ◽  
Author(s):  
Y. Z. Chen
Keyword(s):  
Boundary Condition ◽  
Stress Distribution ◽  
General Solution ◽  
Numerical Solution ◽  
Complex Variable ◽  
Final Solution ◽  
Shear Moduli ◽  
Numerical Examples ◽  
Antiplane Elasticity ◽  
The Matrix

This paper provides a general solution for confocally elliptic layers in antiplane elasticity. The studied medium is composed of many layers with different shear moduli. The remote stresses are applied at infinity. Complex variable method is used to study the problem. The continuity conditions for the displacement and the resultant force along the interfaces are suggested. By using the complex variable, the matrix transfer technique, and the boundary condition, the final solution is obtainable. Numerical examples are carried out to show the influence of the different shear moduli defined on different layers to the stress distribution.

On Bending of Curved Circular Tubes

1970 ◽  
Vol 92 (1) ◽  
pp. 62-66 ◽  
Author(s):  
David H. Cheng ◽  
Henry J. Thailer
Keyword(s):  
Stress Distribution ◽  
General Solution ◽  
Circular Tube ◽  
Radius Ratio ◽  
Experimental Results ◽  
Asymptotic Solutions ◽  
Asymptotic Formulas ◽  
Circular Tubes

Based on the improved general solution for a thin, circular tube subjected to in-plane end moments, the effect of the radius ratio on the stress distribution, rigidity, and stress intensification factors is studied. The existing asymptotic solutions are reexamined and modified to reflect the effect of the radius ratio. The modified asymptotic formulas are compared with the existing experimental results.

Research about Slider Three-Dimensional Frictional Contact Problem of the Polygonal and Similar-Oval Jib

2013 ◽  
Vol 385-386 ◽  
pp. 85-88
Author(s):  
Shi Lin Shen ◽  
Zhong Peng Zhang ◽  
Bin Gu ◽  
Rong Chen
Keyword(s):  
Boundary Condition ◽  
Stress Distribution ◽  
Traditional Method ◽  
Frictional Contact ◽  
Contact Region ◽  
Three Dimensional ◽  
Supporting Function ◽  
Partial Stability ◽  
Contact Situation ◽  
Actual Response

The existence of boundary condition and friction are difficult to predict which makes the sliders contact situation extremely complex. The actual response of the contact region becomes a tough research by using traditional method. Taking the cylinder supporting function into account, the polygonal and similar-oval Jib models are established. Research of the stress distribution and the stress concentration phenomenon is analyzed. The results indicate that stress distribution of the sliders of the similar-oval Jib is more uniform in comparison with the polygonal Jib that it can ameliorate the stress state of the contact region and enhance the partial stability of the Jib.

The Stroh Formalism

1996 ◽  
Author(s):  
T. T. C. Ting
Keyword(s):  
General Solution ◽  
Elastic Body ◽  
Three Dimensional ◽  
Anisotropic Elasticity ◽  
Stroh Formalism ◽  
Two Dimensional ◽  
Stroh's Formalism ◽  
Elasticity Problems ◽  
Anisotropic Elastic ◽  
Stroh’S Formalism

In this chapter we study Stroh's sextic formalism for two-dimensional deformations of an anisotropic elastic body. The Stroh formalism can be traced to the work of Eshelby, Read, and Shockley (1953). We therefore present the latter first. Not all results presented in this chapter are due to Stroh (1958, 1962). Nevertheless we name the sextic formalism after Stroh because he laid the foundations for researchers who followed him. The derivation of Stroh's formalism is rather simple and straightforward. The general solution resembles that obtained by the Lekhnitskii formalism. However, the resemblance between the two formalisms stops there. As we will see in the rest of the book, the Stroh formalism is indeed mathematically elegant and technically powerful in solving two-dimensional anisotropic elasticity problems. The possibility of extending the formalism to three-dimensional deformations is explored in Chapter 15.

Stress Distributions in an Elastic Body due to Molecular Interactions Considering One-Dimensional Periodic Material Distribution Based on Mindlin Solution

2018 ◽  
Author(s):  
Hiroshige Matsuoka ◽  
Toshiki Otani ◽  
Shigehisa Fukui
Keyword(s):  
Stress Distribution ◽  
Elastic Body ◽  
Molecular Interactions ◽  
Material Distribution ◽  
Stress Distributions ◽  
One Dimensional ◽  
Calculation Results ◽  
Basic Characteristics ◽  
The One

A method to calculate the stress distributions in the elastic body caused by the molecular interactions has been established. The stress distribution was calculated based on the Mindlin’s solution considering the one-dimensional periodic material distribution. The calculation results for a distribution of two materials were presented. The basic characteristics of the stress distribution in the elastic body were quantitatively clarified.

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