Title page for ETD etd-09212006-162913


Type of Document Master's Thesis
Author Iaccarino, Gianni Luca
Author's Email Address giaccari@vt.edu
URN etd-09212006-162913
Title Analytical Solution of two Traction-Value Problems in Second-Order Elasticity with Live Loads
Degree Master of Science
Department Engineering Science and Mechanics
Advisory Committee
Advisor Name Title
Batra, Romesh C. Committee Chair
Henneke, Edmund G. II Committee Member
Thangjitham, Surot Committee Member
Keywords
  • traction-value problems
  • constitutive constants
  • live loads
  • Signorini's Method
  • Nonlinear Elastostatics
Date of Defense 2006-08-29
Availability unrestricted
Abstract
We present a generalization of Signorini's method to the case of live loads which allows us to derive approximate solutions to some pure traction-value problems in finite elastostatics. The boundary-value problems and the corresponding compatibility conditions are formulated in order to determine the displacement of the system up to the second-order of approximation. In particular, we consider the case of homogeneous and isotropic elastic bodies and we solve the following two traction-value problems with live loads:(i) a sphere subjected to the action of a uniform pressure field;(ii)a hollow circular cylinder whose inner and outer surfaces are subjected to uniform pressures. Then, starting from these solutions, we suggest experiments to determine the second-order constitutive constants of the elastic body. Expressions of the second-order material constants in terms of displacements and Lame' coefficients are determined.
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