dc.contributor.advisor | Reddy, Junuthula N. | |
dc.creator | Arbind, Archana | |
dc.date.accessioned | 2012-10-19T15:29:57Z | |
dc.date.accessioned | 2012-10-22T18:03:39Z | |
dc.date.available | 2014-11-03T19:49:14Z | |
dc.date.created | 2012-08 | |
dc.date.issued | 2012-10-19 | |
dc.date.submitted | August 2012 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11478 | |
dc.description.abstract | Nonlinear finite element models of functionally graded beams with power-law variation of material, accounting for the von-Karman geometric nonlinearity and temperature dependent material properties as well as microstructure dependent length scale have been developed using the Euler-Bernoulli as well as the first-order and third- order beam theories. To capture the size effect, a modified couple stress theory with one length scale parameter is used. Such theories play crucial role in predicting accurate deflections of micro- and nano-beam structures. A general third order beam theory for microstructure dependent beam has been developed for functionally graded beams for the first time using a modified couple stress theory with the von Karman nonlinear strain. Finite element models of the three beam theories have been developed. The thermo-mechanical coupling as well as the bending-stretching coupling play significant role in the deflection response. Numerical results are presented to show the effect of nonlinearity, power-law index, microstructural length scale, and boundary conditions on the bending response of beams under thermo-mechanical loads. In general, the effect of microstructural parameter is to stiffen the beam, while shear deformation has the effect of modeling more realistically as a flexible beam. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.subject | Functionally Graded Material | en |
dc.subject | microstructure dependent beam | en |
dc.subject | modified couple stress theory | en |
dc.subject | General third order beam theory | en |
dc.subject | von Karman nonlinearity | en |
dc.subject | nonlinear finite element model | en |
dc.subject | thermo-mechanical load | en |
dc.subject | Eular-Bernoulli beam theory | en |
dc.subject | Timoshenko beam theory | en |
dc.title | Nonlinear Analysis of Conventional and Microstructure Dependent Functionally Graded Beams under Thermo-mechanical Loads | en |
dc.type | Thesis | en |
thesis.degree.department | Civil Engineering | en |
thesis.degree.discipline | Civil Engineering | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Master of Science | en |
thesis.degree.level | Masters | en |
dc.contributor.committeeMember | Arson, Chloe | |
dc.contributor.committeeMember | Muliana, Anastasia | |
dc.type.genre | thesis | en |
dc.type.material | text | en |
local.embargo.terms | 2014-10-22 | |