Journal ArticleDOI
Assumed strain stabilization of the eight node hexahedral element
Ted Belytschko,Lee P. Bindeman +1 more
TLDR
In this paper, an accurate and robust stabilization based on the assumed strain method and an operator orthogonal to constant strain fields is presented for an eight-node hexahedral element with uniform reduced integration.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1993-06-01. It has received 276 citations till now. The article focuses on the topics: Linear elasticity & Finite element method.read more
Citations
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Proceedings ArticleDOI
Investigation of Traumatic Brain Injuries Using the Next Generation of Simulated Injury Monitor (SIMon) Finite Element Head Model
Erik G. Takhounts,Stephen A. Ridella,Vikas Hasija,Rabih E. Tannous,J. Quinn Campbell,Daniel P. Malone,Kerry A. Danelson,Joel D. Stitzel,Steven Rowson,Stefan M. Duma +9 more
TL;DR: The model was used in investigation of mild TBI cases in living humans based on a set of head impact data taken from American football players at the collegiate level and maximum principal strain was found to correlate well with RMDM and angular head kinematic measures.
Proceedings ArticleDOI
On the development of the SIMon finite element head model
Erik G. Takhounts,Rolf H. Eppinger,J. Quinn Campbell,Rabih E. Tannous,Erik D. Power,Lauren S. Shook +5 more
TL;DR: The human finite element head model (FEHM) within the SIMon environment is presented and it was found that the injury metrics in the current SIMon model predicted injury in all cases where Hic15 was greater than 700 and several cases from the side impact test data where HIC15 was relatively small.
Journal ArticleDOI
A survey of recent shell finite elements
TL;DR: A comprehensive survey of the literature on curved shell finite elements can be found in this article, where the first two present authors and Liaw presented a survey of such literature in 1990 in this journal.
Journal ArticleDOI
Meshfree and finite element nodal integration methods
TL;DR: Nodal integration can be applied to the Galerkin weak form to yield a particle-type method where stress and material history are located exclusively at the nodes and can be employed when using meshless or finite element shape functions as discussed by the authors.
Journal ArticleDOI
Patient-specific model of brain deformation: Application to medical image registration
TL;DR: The presented results show that non-linear biomechanical models can complement medical image processing techniques when conducting non-rigid registration and do not require unrealistic assumptions that brain deformations are infinitesimally small and brain stress-strain relationship is linear.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
D.P. Flanagan,Ted Belytschko +1 more
TL;DR: In this paper, the treatment of zero energy modes arising due to one-point integration of first-order isoparametric finite elements is addressed and a method for precisely isolating these modes for arbitrary geometry is developed.
Journal ArticleDOI
Generalization of selective integration procedures to anisotropic and nonlinear media
TL;DR: In this paper, a finite element procedure is introduced for the analysis of nearly-incompressible media, which is applicable to arbitrary anisotropic and/or nonlinear media.
Related Papers (5)
A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
D.P. Flanagan,Ted Belytschko +1 more
A class of mixed assumed strain methods and the method of incompatible modes
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