SOLUTION-BASED MESH QUALITY INDICATORS FOR TRIANGULAR AND TETRAHEDRAL MESHES

2000 ◽  
Vol 10 (03) ◽  
pp. 333-346 ◽  
Author(s):  
MARTIN BERZINS
Keyword(s):  
Quality Indicators ◽  
Quadratic Function ◽  
Local Solution ◽  
Quality Measure ◽  
Mesh Quality ◽  
Tetrahedral Meshes ◽  
Tetrahedral Elements ◽  
Parameterized Problem

A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based both on geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function. The new measure is shown to be related to existing measures of mesh quality but with the advantage that local solution information in the form of scaled derivatives along edges is taken into account. This advantage is demonstrated by a comparison with a geometrical indicator on a parameterized problem.

Establishing 3D Mandible FEA Model via Clinical CT Images

2010 ◽  
Vol 44-47 ◽  
pp. 1952-1956 ◽  
Author(s):  
Wen Zheng Wu ◽  
Ya Dong Chen ◽  
Kun Peng Cui ◽  
Xing Jun Qin ◽  
Wan Shan Wang
Keyword(s):  
3D Model ◽  
Biomechanical Analysis ◽  
Mandible Reconstruction ◽  
Element Analysis ◽  
Boundary Constraints ◽  
Reconstruction Surgery ◽  
Tetrahedral Meshes ◽  
Fea Model ◽  
Tetrahedral Elements ◽  
Force Range

Aiming at the filature of titanium plates and screws after defective mandible reconstruction surgery, a method named Finite Element Analysis （FEA）was conducted in this paper through FEA software Abaqus with which a 3D model of defective mandible was established. The mandible 3D model was input into the Magics and remeshed. The mandible model was output in the format of .inp file from the Magics and import to Abaqus for converting from triangular meshes to tetrahedral meshes. The tetrahedral meshes totally had 71057 tetrahedral elements and 10720 nodes. The boundary constraints of the mandible 3D model were arranged. The force was applied separately in the direction of vertical, 15° and 30° with the occluding plane (teeth force range when occluding) to analyze the force. The mandible 3D model was established and prepared to be done a biomechanical analysis.

scholarly journals Designing Parallel Adaptive Laplacian Smoothing for Improving Tetrahedral Mesh Quality on the GPU

2021 ◽  
Vol 11 (12) ◽  
pp. 5543
Author(s):  
Ning Xi ◽  
Yinjie Sun ◽  
Lei Xiao ◽  
Gang Mei
Keyword(s):  
Parallel Algorithm ◽  
Adaptive Algorithm ◽  
Large Scale ◽  
Tetrahedral Mesh ◽  
Processing Unit ◽  
Mesh Quality ◽  
Mesh Smoothing ◽  
Tetrahedral Meshes ◽  
Numerical Computing ◽  
Laplacian Smoothing

Mesh quality is a critical issue in numerical computing because it directly impacts both computational efficiency and accuracy. Tetrahedral meshes are widely used in various engineering and science applications. However, in large-scale and complicated application scenarios, there are a large number of tetrahedrons, and in this case, the improvement of mesh quality is computationally expensive. Laplacian mesh smoothing is a simple mesh optimization method that improves mesh quality by changing the locations of nodes. In this paper, by exploiting the parallelism features of the modern graphics processing unit (GPU), we specifically designed a parallel adaptive Laplacian smoothing algorithm for improving the quality of large-scale tetrahedral meshes. In the proposed adaptive algorithm, we defined the aspect ratio as a metric to judge the mesh quality after each iteration to ensure that every smoothing improves the mesh quality. The adaptive algorithm avoids the shortcoming of the ordinary Laplacian algorithm to create potential invalid elements in the concave area. We conducted 5 groups of comparative experimental tests to evaluate the performance of the proposed parallel algorithm. The results demonstrated that the proposed adaptive algorithm is up to 23 times faster than the serial algorithms; and the accuracy of the tetrahedral mesh is satisfactorily improved after adaptive Laplacian mesh smoothing. Compared with the ordinary Laplacian algorithm, the proposed adaptive Laplacian algorithm is more applicable, and can effectively deal with those tetrahedrons with extremely poor quality. This indicates that the proposed parallel algorithm can be applied to improve the mesh quality in large-scale and complicated application scenarios.

scholarly journals An Effective System to Measure and Report Quality Indicators in Acute Medical Units

2012 ◽  
Vol 11 (4) ◽  
pp. 210-215
Author(s):  
J Atkinson ◽  
◽  
Lorna Barton ◽  
Andrew Harrison ◽  
Nick Roper ◽  
...  
Keyword(s):  
Quality Indicators ◽  
Positive Impact ◽  
Quality Care ◽  
Local Solution ◽  
Bench Mark ◽  
High Quality ◽  
Acute Medicine ◽  
North East ◽  
Report Quality ◽  
Effective System

The Society for Acute Medicine has developed a number of clinical quality indicators by which all UK Acute Medicine Units can bench mark their activity. These will help to ensure high quality care for patients, inform the continuing development of acute medical services and demonstrate the positive impact of this new speciality. Prospective collection of these data may be a challenge for many busy units. This paper describes a local solution developed in house in a North East hospital. It demonstrates how the data collected can be analysed to assess the effect of changes in consultant presence on the unit and also time taken for patients to be seen by a doctor. The limitations of the system and potential for future development are considered.

Finite Element Modeling of Joint Contact Mechanics With Quadratic Tetrahedral Elements

2013 ◽  
Author(s):  
Steve A. Maas ◽  
Benjamin J. Ellis ◽  
David S. Rawlins ◽  
Jeffrey A. Weiss
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Contact Mechanics ◽  
Fe Modeling ◽  
Element Modeling ◽  
Tetrahedral Meshes ◽  
Fine Mesh ◽  
Tetrahedral Elements ◽  
Joint Contact

Tetrahedral elements are one of the most popular finite element (FE) modeling primitives for complex, biological geometries, partially due to the availability of automatic meshing schemes for creating tetrahedral meshes. However, constant strain tetrahedral elements require a very fine mesh to obtain accurate solutions, and these elements can lock, yielding overly stiff results [1].

Effectiveness of Tetrahedral Finite Elements in Modeling Tread Patterns for Rolling Simulations

2014 ◽  
Vol 42 (2) ◽  
pp. 101-114
Author(s):  
Harish Surendranath
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Contact Stress ◽  
Contact Stresses ◽  
Time Saving ◽  
Tetrahedral Meshes ◽  
Tetrahedral Elements ◽  
Contact Formulation ◽  
Hexahedral Meshes ◽  
Slow Rolling

ABSTRACT Generating structured hexahedral finite element meshes on tread patterns is a challenging and laborious task due to the complex pattern geometry. However, creating good quality tetrahedral meshes on these geometries is relatively straightforward and can be fully automated. Despite the convenience and time saving, analysts have long avoided tetrahedral elements because of inadequate contact stress accuracy, which is critical for pattern wear prediction. Recent advances in contact formulation has vastly improved the accuracy of contact stresses predicted by tetrahedral meshes. This article presents a comparative study between the results predicted by tetrahedral and hexahedral meshes under slow rolling conditions. Comparisons are presented for footprint solution quantities such as contact stresses as well as global solution quantities such as residual aligning torque.

Quintessenz

2016 ◽  
Vol 1 (2) ◽  
pp. 47-49
Author(s):  
Anja Maria Reichel
Keyword(s):  
Psychiatric Treatment ◽  
Quality Measure ◽  
Psychiatric Nurses ◽  
Patient Centered ◽  
Inpatient Psychiatric Treatment

Zusammenfassung. Delaney, K. R., Johnson, M. E. and Fogg, L. (2015): Development and Testing of the Combined Assessment of Psychiatric Environments: A Patient-Centered Quality Measure for Inpatient Psychiatric Treatment. Journal of the American Psychiatric Nurses Association, 21 (2), 134–147.

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