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Two Problems in Plane Finite Elastostatics


Connolly, Jeremiah Finbarr (1983) Two Problems in Plane Finite Elastostatics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/yhjy-mb48.


In this paper the fully nonlinear equilibrium theory of homogeneous and isotropic incompressible elastic solids is used to study the elastostatic fields in plane strain near the point of application of a concentrated force on a deformed half plane and near the vertex of a circular sector whose plane deformed faces are subjected to prescribed tractions.

In the concentrated force problem, restricting only the form of the elastic potential at large extensional deformations, it is shown that, for materials which "harden" in simple shear, the displacement is bounded at the point of application of the load. This is not the case for materials which "soften" in shear. Estimates of the true stress tensor near the singular point are given.

In the sector problem, for a class of the materials mentioned, the deformation and stress field near the vertex of the deformed cross-section are derived and discussed.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mechanics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Knowles, James K.
Thesis Committee:
  • Sternberg, Eli (chair)
  • Cohen, Donald S.
  • Knauss, Wolfgang Gustav
  • Knowles, James K.
  • Miklowitz, Julius
Defense Date:1 July 1982
Funding AgencyGrant Number
Earle C. Anthony FellowshipUNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Record Number:CaltechETD:etd-09182006-085128
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3617
Deposited By: Imported from ETD-db
Deposited On:05 Oct 2006
Last Modified:19 Apr 2021 22:39

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