کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
497974 | 862955 | 2014 | 15 صفحه PDF | دانلود رایگان |
• The accuracy of the finite-element solution deteriorates as elements become distorted.
• New rotationally invariant and mesh distortion-resistant element.
• Applied to both linear and geometrically non-linear analysis.
• Predictive capabilities demonstrated using geometrically non-linear analyses.
• Important step in overcoming the problem of mesh distortion sensitivity.
The predictive capability of conventional iso-parametric finite-elements deteriorates with mesh distortion. In the case of geometrically non-linear analysis, changes in geometry causing severe distortion can result in negative Jacobian mapping between the local and global systems resulting in numerical breakdown. This paper presents a finite-element formulation that is resistant to irregular mesh geometries and large element distortions whilst remaining invariant to rigid body motion. The predictive capabilities of the family of finite-elements are demonstrated using a series of geometrically non-linear analyses including an elastic cantilever beam and an elasto-plastic double notched specimen.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 275, 15 June 2014, Pages 189–203