| dc.creator |
Olley, Peter |
|
| dc.date |
2008-09-01T14:25:16Z |
|
| dc.date |
2008-09-01T14:25:16Z |
|
| dc.date |
2006 |
|
| dc.identifier |
Olley P (2006) A cauchy-stress based solution for a necking elastic constitutive model under large deformation. International Journal for Numerical Methods in Engineering. 65(7): 1068-1087. |
|
| dc.identifier |
http://hdl.handle.net/10454/523 |
|
| dc.identifier |
https://doi.org/10.1002/nme.1473 |
|
| dc.description |
No |
|
| dc.description |
A finite element based method for solution of large-deformation hyperelastic constitutive models is developed, which solves the Cauchy-stress balance equation using a single rotation of stress from principal directions to a fixed co-ordinate system. Features of the method include stress computation by central differencing of the hyperelastic energy function, mixed integration-order incompressibility enforcement, and an iterative solution method that employs notional `small strain¿ stiffness. The method is applied to an interesting and difficult elastic model that replicates polymer `necking¿; the method is shown to give good agreement with published results from a well-established finite element package, and with published experimental results. It is shown that details of the manner in which incompressibility is enforced affects whether key experimental phenomena are clearly resolved. |
|
| dc.language |
en |
|
| dc.subject |
Finite element solution |
|
| dc.subject |
Hyperelastic |
|
| dc.subject |
Necking |
|
| dc.subject |
Large Deformation |
|
| dc.title |
A cauchy-stress based solution for a necking elastic constitutive model under large deformation |
|
| dc.type |
Article |
|
| dc.type |
No full-text in the repository |
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