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Journal ArticleDOI

Contact stress of O-ring under uniform squeeze rate by photoelastic experimental hybrid method †

TLDR
In this paper, photoelastic experimental hybrid methods using the external traction free boundary condition and that using the relative equation of two stress functions in contact problems were developed for the analysis of the contact stress of an O-ring under 10% or 20% squeeze rate.
Abstract
In this paper, photoelastic experimental hybrid methods using the external traction free boundary condition and that using the relative equation of two stress functions in contact problems are developed. The validities of these two methods are confirmed through experiments and discussions. Hertz’s contact theory and the two photoelastic experimental hybrid methods explained are applied to the analysis of the contact stress of an O-ring under 10% or 20% squeeze rate. The photoelastic experimental hybrid method using the relative equation of two stress functions in contact problems was found to be more effective. When the squeeze rates of an O-ring were 10% or 20%, the maximum of absolute σx was greater than the maximum of absolute σy, but was almost equal. Maximums of absolute τxy were 1/8 of absolute σx and 1/5 of absolute σx when the squeeze rates of the O-ring were 10% and 20%, respectively.

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Citations
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Complex variables and applications

TL;DR: In this article, Cauchy-Goursat Theorem 2.1.1 was extended to include the point at infinity and the point of infinity at infinity in the definition of differentiability of analytical functions.
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Digital photoelasticity: Recent developments and diverse applications

TL;DR: In the last three decades of developments, the technique of Digital Photoelasticity (DP) has been stabilized and the methodology has successfully applied to a wide range of problems in Engineering and science as discussed by the authors.
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Analysis of contact zones from whole field isochromatics using reflection photoelasticity

TL;DR: In this article, a semi-automatic contact point refinement algorithm is proposed to evaluate the unknown contact parameters by post processing the whole field fringe order data obtained from reflection photoelasticity in a nonlinear least squares sense.
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Influences of the moving velocity and material property on frictionless contact problem of orthotropic materials indented by a moving punch

TL;DR: In this article, a smooth moving contact model for orthotropic materials indented by a rigid punch is developed, based on fundamental solutions of each eigenvalue case, the mixed boundary-value problem is reduced to a Cauchy type singular integral equation by applying the Galilean transformation and Fourier transform.
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A novel stress distribution analytical model of O-ring seals under different properties of materials

TL;DR: In this article, a novel stress distribution analytical model (SDAM) is proposed to describe the analytical relationship between stress distribution and properties of elastomeric O-ring seal materials.
References
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Book

Nonlinear Programming: Theory and Algorithms

TL;DR: The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques.
Book

Complex Variables and Applications

TL;DR: In this paper, Cauchy-Goursat Theorem 2.1.1 was extended to include the point at infinity and the point of infinity at infinity in the definition of differentiability of analytical functions.
Book

Mechanics of elastic contacts

TL;DR: In this paper, a reference source provides a guide to elastic contacts for engineering designers, materials scientists and tribologists, irrespective of their level of expertise, and their knowledge of elastic contacts.