Some Implications of Noncoaxiality in Finite DeformationsSource: Journal of Engineering Materials and Technology:;1973:;volume( 095 ):;issue: 002::page 87Author:T. C. Hsu
DOI: 10.1115/1.3443137Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Two-dimensional finite deformations are analyzed by factoring and multiplying the matrices of the linear transformations representing them. A general linear transformation consists of a pure shear, a uniform dilation, and a rigid-body rotation. Coaxiality is defined for finite deformations and its effect on the resultant distortion discussed. Tests for coaxiality are devised for use on rectangular grids which are often employed in metal forming research. Formulas are derived for the initial and final directions of the resultant major principal axis in both equal and unequal noncoaxial pure shears and, in particular, conditions are found for the constancy of distortion in the second deformation.
keyword(s): Deformation , Metalworking , Shear (Mechanics) , Formulas AND Rotation ,
|
Collections
Show full item record
| contributor author | T. C. Hsu | |
| date accessioned | 2017-05-09T01:36:27Z | |
| date available | 2017-05-09T01:36:27Z | |
| date copyright | April, 1973 | |
| date issued | 1973 | |
| identifier issn | 0094-4289 | |
| identifier other | JEMTA8-26832#87_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163827 | |
| description abstract | Two-dimensional finite deformations are analyzed by factoring and multiplying the matrices of the linear transformations representing them. A general linear transformation consists of a pure shear, a uniform dilation, and a rigid-body rotation. Coaxiality is defined for finite deformations and its effect on the resultant distortion discussed. Tests for coaxiality are devised for use on rectangular grids which are often employed in metal forming research. Formulas are derived for the initial and final directions of the resultant major principal axis in both equal and unequal noncoaxial pure shears and, in particular, conditions are found for the constancy of distortion in the second deformation. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Some Implications of Noncoaxiality in Finite Deformations | |
| type | Journal Paper | |
| journal volume | 95 | |
| journal issue | 2 | |
| journal title | Journal of Engineering Materials and Technology | |
| identifier doi | 10.1115/1.3443137 | |
| journal fristpage | 87 | |
| journal lastpage | 93 | |
| identifier eissn | 1528-8889 | |
| keywords | Deformation | |
| keywords | Metalworking | |
| keywords | Shear (Mechanics) | |
| keywords | Formulas AND Rotation | |
| tree | Journal of Engineering Materials and Technology:;1973:;volume( 095 ):;issue: 002 | |
| contenttype | Fulltext |