A Study of the Correspondence Rule in a Viscoelastic Stress Analysis


This thesis is mainly concerned with two fields of investigation; the viscoelastic behaviour of plastics, and the numerical solution of engineering problems by means of finite element methods. The basic equations describing linear elastic behaviour are modified to give corresponding equations for linear viscoelastic materials, and various theoretical models are used to describe viscoelastic behaviour. The stiffness matrix for a tapered element of a beam is derived for cases where the shear stress is neglected and where its effect is allowed for, and S melebee solutions are obtained for various bending problems. Bending is also considered as a plane stress problem, using triangular elements. By combining the results obtained from linear viscoelastic theory and finite element methods theoretical solutions are obtained for a number of more difficult viscoelastic problems, and the results are compared with those obtained by experiment. Theoretical and experimental results are also given for certain non-linear viscoelastic problems. Finally methods of designing in plastics are discussed in relation to the results previously obtained. Throughout, extensive use is made of computer solutions, and the development of the programs is detailed in the Appendix

Divisions: College of Engineering & Physical Sciences
Additional Information: Copyright © Howard, 1973. G.F. Howard asserts their moral right to be identified as the author of this thesis. This copy of the thesis has been supplied on condition that anyone who consults it is understood to recognise that its copyright rests with its author and that no quotation from the thesis and no information derived from it may be published without appropriate permission or acknowledgement. If you have discovered material in Aston Publications Explorer which is unlawful e.g. breaches copyright, (either yours or that of a third party) or any other law, including but not limited to those relating to patent, trademark, confidentiality, data protection, obscenity, defamation, libel, then please read our Takedown Policy and contact the service immediately.
Institution: Aston University
Uncontrolled Keywords: correspondence rule,viscoelastic stress analysis
Last Modified: 28 Jun 2024 07:06
Date Deposited: 19 May 2011 13:37
Completed Date: 1973
Authors: Howard, G.F.

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