XXIII. Stresses near the end of a long cylindrical shaft under non-uniform pressure loading

Author(s):  
C.J. Tranter ◽  
J.W. Craggs
1994 ◽  
Vol 61 (4) ◽  
pp. 755-763 ◽  
Author(s):  
T. L. Power ◽  
S. Kyriakides

This paper discusses the response of long, shallow, elastic panels to uniform pressure loading. Under quasi-static conditions, the deformation of such panels is initially uniform along their length, and their response has the nonlinearity and instabilities characteristic of shallow arches. Shallower panels deform symmetrically about the midspan and exhibit a limit load instability. For less shallow panels, the response bifurcates into an unsymmetric mode before the limit load is achieved. A formulation and a solution procedure are developed and used to analyze the response of such panels beyond first instability. It is demonstrated in both cases that following the first instability the deformation ceases to be axially uniform and locqlizes to a region a few arch spans in length. A drop in pressure accompanies this localized collapse and causes unloading in the remainder of the panel. Subsequent deformation is confined to this region until membrane tension arrests the local collapse. Further deformation can occur at a constant pressure and takes the form of spreading of the collapsed region along the length of the panel. The lowest pressure at which this can take place (propagation pressure) can be significantly lower than the pressure associated with first instability.


1977 ◽  
Vol 19 (1) ◽  
pp. 30-37 ◽  
Author(s):  
I. H. Marshall ◽  
J. Rhodes ◽  
W. M. Banks

A theoretical analysis is presented for the snap-buckling behaviour of thin, orthotropic, spherically curved panels subject to central point and uniform pressure loading on the convex face. Clamped and simply supported edges are considered. The results are presented graphically for a range of panel aspect ratios and comparison is made with experimental studies.


2007 ◽  
Vol 78 (2) ◽  
pp. 207-221 ◽  
Author(s):  
Jean-Paul Kabche ◽  
Vincent Caccese ◽  
Keith A. Berube ◽  
Lawrence Thompson ◽  
Josh Walls

2011 ◽  
Vol 4 (3) ◽  
pp. 646-650 ◽  
Author(s):  
Hanpeng Wang ◽  
Shucai Li ◽  
Xiaolei Yue ◽  
Qi Wang

2021 ◽  
Vol 88 (4) ◽  
Author(s):  
Qitao Wang ◽  
Mingchao Liu ◽  
Zhenyu Wang ◽  
Changqing Chen ◽  
Jian Wu

Abstract Surface stress, which is always neglected in classical elastic theories, has recently emerged as a key role in the mechanics of highly deformable soft solids. In this paper, the effect of surface stress on the deformation and instability of soft hollow cylinder is analyzed. By incorporating surface energy density function into the constitutive model of a hyper-elastic theory, explicit solutions are obtained for the large deformation of soft hollow cylinder under the uniform pressure loading and geometric everting. The surface tension and the residual surface stress have a significant effect on the large deformation and instability of the soft cylinder. When the pressure loading and geometric everting are applied on the soft hollow cylinder, significant changes in the critical condition of the creases are found by varying the surface parameters. Two models of instability, surface crease and global buckling behavior, will be generated on the soft hollow cylinder with the uniform pressure, and the formed instability model is dependent on the ratio of the thickness to the radius. The results in this work reveal that surface energy obviously influences both the deformation and the instability of soft hollow cylinder at finite deformation and will be helpful for understanding and predicting the mechanical behavior of soft structures accurately.


1965 ◽  
Vol 32 (4) ◽  
pp. 893-898 ◽  
Author(s):  
R. S. Weiner

Axisymmetric motions of a circular elastic plate are considered here according to the Poisson-Kirchhoff plate theory. A concentric ring loading of arbitrary time dependence is examined and used to construct solutions for a concentrated central load and for a uniform pressure loading. The boundary of the plate is considered to be elastically built-in in a manner that prevents transverse edge motion and provides a restoring edge moment linearly related to edge rotation. Thus, limiting cases are a clamped plate and a simply supported plate. Finally, a discussion relating this work to the integral-transform approach of Sneddon is presented to enable physical interpretation and generalization of his approach.


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