Three-dimensional finite-element analysis including elastic-plastic material response

The development of a linear finite-element program using an isoparametric 60-DOF hexahedron is presented. As a special feature dictated by programming considerations, the enforcement of boundary conditions and the modification of the stiffness matrix due to a rotated coordinate system for selected nodal points is carried out on the element level. Numerical integration is performed with the aid of a 14-point integration rule. The nonlinear program is capable of modelling elastic-plastic material behavior. It is based on the constant stiffness iteration employing the initial stress concept. The iterative procedure is accelerated by a new scheme termed uniform acceleration. Three practical applications are presented. The thick-walled cylinder under internal pressure and the transversely loaded thin plate on simple supports are analyzed under the assumption of ideal plasticity. Comparisons with existing solutions are also made. For the third example, an aluminum-epoxy fiber composite is subjected to a uniform temperature difference. Both materials are characterized by strain hardening. The effect of a free surface perpendicular to the fiber direction is shown.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

doctoral

Department dc:contributor.department

Civil Engineering

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1974

Author dc:creator

• Hatt, Fritz

Statement dc:rights

• In Copyright

Licence dc:rights.uri

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

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/88680

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/88680