Analytical Solution of two Traction-Value Problems in Second-Order Elasticity with Live Loads

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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Engineering Science and Mechanics

Department dc:contributor.department

Engineering Science and Mechanics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2006

Author dc:creator

• Iaccarino, Gianni Luca

Chair dc:contributor.committeechair

• Batra, Romesh C.

Committee members dc:contributor.committeemember

• Henneke, Edmund G. II
• Thangjitham, Surot

• traction-value problems
• constitutive constants
• live loads
• Signorini's Method
• Nonlinear Elastostatics

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-09212006-162913

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/35137