Image analysis and the finite element method in the characterization of the influence of porosity parameters on the mechanical properties of porous EVA/PMMA polymer blends

2019 ◽  
Vol 129 ◽  
pp. 1-14 ◽  
Author(s):  
Nataša Z. Tomić ◽  
Predrag Milanović ◽  
Bojan Međo ◽  
Marija M. Vuksanović ◽  
Đorđe Veljović ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Image Analysis ◽  
Polymer Blends ◽  
The Finite Element Method ◽  
Pmma Polymer ◽  
Element Method

scholarly journals A characterization of supersmoothness of multivariate splines

2020 ◽  
Vol 46 (5) ◽  
Author(s):  
Michael S. Floater ◽  
Kaibo Hu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Order ◽  
Maximal Order ◽  
Spline Functions ◽  
Multivariate Splines ◽  
The Finite Element Method ◽  
Polynomial Splines ◽  
Element Method

Abstract We consider spline functions over simplicial meshes in $\mathbb {R}^{n}$ ℝ n . We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are infinitely smooth. Such splines can have extra orders of smoothness at a vertex, a property known as supersmoothness, which plays a role in the construction of multivariate splines and in the finite element method. In this paper, we characterize supersmoothness in terms of the degeneracy of spaces of polynomial splines over the cell of simplices sharing the vertex, and use it to determine the maximal order of supersmoothness of various cell configurations.

scholarly journals Specific solution of problem of water filtering in the rocks by the finite element method

2019 ◽  
Vol 109 ◽  
pp. 00093 ◽  
Author(s):  
Olena Slashchova ◽  
Ihor Slashchov ◽  
Iryna Sapunova
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Strain State ◽  
Water Saturation ◽  
Physical And Mechanical Properties ◽  
Critical Parameters ◽  
The Finite Element Method ◽  
Water Saturated ◽  
Element Method

The article is devoted to development of methods for geofiltration calculations with taking into account peculiarities of changes of the rock physical and mechanical properties at water saturation. Methods: mathematical modeling of geomechanical and filtration processes with the help of finite element method and laboratory and underground studies. A mathematical model was formulated for solving a problem of elasticity theory by the finite element method, which took into account peculiarities of water-saturated rocks. Pattern of stress-strain state changing in the fractured water-saturated rocks under the action of critical loads, which occurred around the preparatory roadways during their operation, were established. In order to solve the filtration problems, a bank of collected initial data on physical and mechanical properties of water-saturated rocks was processed with the help of variation coefficients, which were taken into account by the method, which assumed calculation of the model loading with critical parameters.

Rigorous characterization of surface plasmon modes by using the finite element method

2011 ◽  
Author(s):  
B. M. A. Rahman ◽  
H. Tanvir ◽  
N. Kejalakshmy ◽  
A. Quadir ◽  
K. T. V. Grattan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Surface Plasmon ◽  
The Finite Element Method ◽  
Plasmon Modes ◽  
Element Method

Characterization of metal-clad TE/TM mode splitters using the finite element method

1997 ◽  
Vol 15 (12) ◽  
pp. 2264-2269 ◽  
Author(s):  
M. Rajarajan ◽  
C. Themistos ◽  
B.M.A. Rahman ◽  
K.T.V. Grattan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Tm Mode ◽  
Element Method

scholarly journals Some Novel Numerical Applications of Cosserat Continua

2018 ◽  
Vol 15 (06) ◽  
pp. 1850054 ◽  
Author(s):  
Nicholas Fantuzzi ◽  
Lorenzo Leonetti ◽  
Patrizia Trovalusci ◽  
Francesco Tornabene
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Size Effects ◽  
Heterogeneous Materials ◽  
Numerical Implementation ◽  
The Finite Element Method ◽  
Strong Formulation ◽  
Cosserat Continua ◽  
Element Method

Cosserat continua demonstrated to have peculiar mechanical properties, with respect to classic Cauchy continua, because they are able to more accurately describe heterogeneous materials, as particle composites and masonry-like material, taking into account size effects. Many studies have been devoted to their numerical implementation. In this paper, some reference benchmarks, referred to an isotropic heterogeneous sample, are shown by comparing the solutions provided by strong and weak formulations. The strong formulation finite element method (SFEM), implemented in MATLAB®, is compared to the finite element method (FEM), given by COMSOL® Multiphysics, and the advantages of the two approaches are highlighted and discussed.

scholarly journals Stress distribution in the knee joint in relation to tibiofemoral angle using the finite element method

2019 ◽  
Vol 252 ◽  
pp. 07007 ◽  
Author(s):  
Robert Karpiński ◽  
Łukasz Jaworski ◽  
Józef Jonak ◽  
Przemysław Krakowski
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Articular Cartilage ◽  
Knee Joint ◽  
Cartilage Tissue ◽  
The Finite Element Method ◽  
Human Knee ◽  
Tibiofemoral Angle ◽  
Element Method

The article presents the results of a preliminary study on the structural analysis of the knee joint, considering changes in the mechanical properties of the articular cartilage of the joint. Studies have been made due to the need to determine the tension distribution occurring in the cartilage of the human knee. This distribution could be the starting point for designing custom made human knee prosthesis. Basic anatomy, biomechanical analysis of the knee joint and articular cartilage was introduced. Based on a series of computed tomography [CT] scans, the 3D model of human knee joint was reverse-engineered, processed and exported to CAD software. The static mechanical analysis of the knee joint model was conducted using the finite element method [FEM], in three different values of tibiofemoral angle and with varying mechanical properties of the cartilage tissue. Main conclusions of the study are: the capability to absorb loads by articular cartilage of the knee joint is preliminary determined as decreasing with increasing degenerations of the cartilage and with age of a patient. Without further information on changes of cartilage’s mechanical parameters in time it is hard to determine the nature of relation between mentioned capability and these parameters.

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