End effects for plane deformations of an elastic anisotropic semi-infinite strip

1995 ◽  
Vol 38 (3) ◽  
pp. 261-316 ◽  
Author(s):  
K. L. Miller ◽  
C. O. Horgan
Keyword(s):  
Infinite Strip ◽  
End Effects ◽  
Plane Deformations

Saint-Venant End Effects for Incremental Plane Deformations of Incompressible Nonlinearly Elastic Materials

1985 ◽  
Vol 52 (4) ◽  
pp. 847-852 ◽  
Author(s):  
R. Abeyaratne ◽  
C. O. Horgan ◽  
D.-T. Chung
Keyword(s):  
Plane Deformation ◽  
Tensile Load ◽  
Infinite Strip ◽  
End Effects ◽  
Short Side ◽  
Incompressible Materials ◽  
Constitutive Parameters ◽  
Small Deformations ◽  
Nonlinearly Elastic ◽  
Plane Deformations

This paper is concerned with assessing the extent of Saint-Venant end effects within the theory of small deformations superposed on a large deformation for plane strain of homogeneous, isotropic, incompressible materials. The problem considered is that of plane deformation of a body which in its undeformed configuration, occupies a semi-infinite strip. The long sides of the strip are free of traction while the short side is subjected to prescribed normal and shear tractions. A purely normal tensile traction is applied uniformly at the remote end. For the case of slightly nonuniform end tractions at the near end, it is shown that the resulting stress distribution differs from that of homogeneous uniaxial tension by an exponentially decaying function of the distance from the end of the strip. The decay rate is characterized explicitly in terms of the strip width, the remotely applied tensile load, and constitutive parameters. Numerical results are provided for the Mooney-Rivlin material and power-law materials which either harden or soften in tension.

scholarly journals Saint-Venant end effects for plane deformations of linear piezoelectric solids

2006 ◽  
Vol 43 (5) ◽  
pp. 943-956 ◽  
Author(s):  
Alessandra Borrelli ◽  
Cornelius O. Horgan ◽  
M. Cristina Patria
Keyword(s):  
End Effects ◽  
Piezoelectric Solids ◽  
Plane Deformations

Further analysis of end effects for plane deformations of sandwich strips

1996 ◽  
Vol 33 (29) ◽  
pp. 4327-4336 ◽  
Author(s):  
Anil C. Wijeyewickrema ◽  
Cornelius O. Horgan ◽  
John Dundurs
Keyword(s):  
End Effects ◽  
Plane Deformations

Saint-Venant End Effects of Transversely Isotropic Piezoelectric Materials

2008 ◽  
Vol 33-37 ◽  
pp. 725-730
Author(s):  
Masayuki Tai ◽  
Anil C. Wijeyewickrema ◽  
Olivier Llouquet
Keyword(s):  
Boundary Conditions ◽  
Piezoelectric Materials ◽  
Transversely Isotropic ◽  
Positive Real Part ◽  
Decay Rates ◽  
Positive Real ◽  
End Effects ◽  
Electrical Boundary Conditions ◽  
Crystal Class ◽  
Plane Deformations

In this paper, Saint-Venant end effects for plane deformations of transversely isotropic piezoelectric materials are investigated. The stress decay rates in linear piezoelectric strips that are traction free with two kinds of electrical boundary conditions are considered. The characteristic equations for decay rate are obtained for symmetric and antisymmetric deformations. Numerical values are given for the roots with the smallest positive real part, which are associated with the slowest decay. Saint-Venant end effects of piezoelectric materials of crystal class 6mm penetrate much further into strip than those of elastic isotropic materials.

Experimental Measurement of In-Plane Rolling Nonpneumatic Tire Vibrations Using High-Speed Imaging

2019 ◽  
Vol 47 (3) ◽  
pp. 196-210
Author(s):  
Meghashyam Panyam ◽  
Beshah Ayalew ◽  
Timothy Rhyne ◽  
Steve Cron ◽  
John Adcox
Keyword(s):  
High Speed ◽  
Image Correlation ◽  
Dynamic Mode Decomposition ◽  
Dynamic Mode ◽  
High Speed Imaging ◽  
Correlation Algorithm ◽  
Mode Decomposition ◽  
Series Of Experiments ◽  
Plane Deformations ◽  
Dominant Frequencies

ABSTRACT This article presents a novel experimental technique for measuring in-plane deformations and vibration modes of a rotating nonpneumatic tire subjected to obstacle impacts. The tire was mounted on a modified quarter-car test rig, which was built around one of the drums of a 500-horse power chassis dynamometer at Clemson University's International Center for Automotive Research. A series of experiments were conducted using a high-speed camera to capture the event of the rotating tire coming into contact with a cleat attached to the surface of the drum. The resulting video was processed using a two-dimensional digital image correlation algorithm to obtain in-plane radial and tangential deformation fields of the tire. The dynamic mode decomposition algorithm was implemented on the deformation fields to extract the dominant frequencies that were excited in the tire upon contact with the cleat. It was observed that the deformations and the modal frequencies estimated using this method were within a reasonable range of expected values. In general, the results indicate that the method used in this study can be a useful tool in measuring in-plane deformations of rolling tires without the need for additional sensors and wiring.

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