Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations

2008 ◽  
Vol 30 (3) ◽  
pp. 1634-1657 ◽  
Author(s):  
Qiang Du ◽  
Jian Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Phase Field ◽  
Adaptive Finite Element Method ◽  
Adaptive Finite Element ◽  
Vesicle Membrane ◽  
Bending Elasticity ◽  
Membrane Deformations ◽  
Element Method

scholarly journals Simulasi Numerik untuk Pertumbuhan Retakan pada Bahan Heterogen: Studi Kasus pada Bitumen Aspal

2020 ◽  
Vol 4 (1) ◽  
pp. 25
Author(s):  
Sayahdin Alfat ◽  
Sudirman Sudirman
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Phase Field ◽  
Adaptive Finite Element Method ◽  
Adaptive Finite Element ◽  
Element Method

Penelitian ini bertujuan untuk menunjukkan perilaku pertumbuhan retakan pada perkerasan aspal menggunakan model Takaishi-Kimura dan mengetahui tingkat kerusakan oleh energi elastisitas dan permukaan. Penelitian ini, telah menggunakan persamaan pertumbuhan retakan yang dikembangkan oleh Takaishi dan Kimura. Penelitian ini menggunakan Adaptive Finite Element Method dan Phase Field Fase untuk mengamati perubahan elastisitas dan energi permukaan dan mengamati perilaku pertumbuhan retak. Penelitian ini telah menggunakan 3 jenis domain sebagai berikut; (1) Retakan yang berasal dari bitumen aspal ke agregat; (2) Retakan yang berasal dari agregat ke bitumen aspal; dan (3) Retakan pada material heterogen. Asumsi yang digunakan yaitu; (1) Material bersifat heterogen; (2) Material bersifat linear elastis; (3) Material bersifat isotropic, atau 𝛾(𝑥) = 𝛾; (4) Pada kondisi awal tidak terjadi deformasi atau 𝑢0(𝑥) = 0; (5) Panjang retakan awal memenuhi persamaan: 𝑧0(𝑥) = 𝑧(0,𝑥) dan(6)𝑓(𝑥,𝑡) = 0 atau diabaikan. Hasil penelitian menunjukkan ada pengaruh pertumbuhan retakan terhadap perubahan energi elastisitas dan permukaan pada material heterogen dan pola kelakuan retakan berbeda-beda setiap domain. Penelitian selanjutnya diharapkan melakukan penelitian mengenai factor-faktor penyebab retakan lainnya.

Three Dimensional Dynamic Analyses on Stroller Wheel with Shock Absorber

2013 ◽  
Vol 387 ◽  
pp. 159-163
Author(s):  
Yi Chern Hsieh ◽  
Minh Hai Doan ◽  
Chen Tai Chang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
Adaptive Finite Element Method ◽  
Adaptive Finite Element ◽  
The Road ◽  
Dimensional Finite Element ◽  
On The Road ◽  
Three Dimensional Finite Element ◽  
Element Method

We present the analyses of dynamics behaviors on a stroller wheel by three dimensional finite element method. The vibration of the wheel system causes by two different type barriers on the road as an experiment design to mimic the real road conditions. In addition to experiment analysis, we use two different packages to numerically simulate the wheel system dynamics activities. Some of the simulation results have good agreement with the experimental data in this research. Other interesting data will be measured and analyzed by us for future study and we will investigate them by using adaptive finite element method for increasing the precision of the computation results.

scholarly journals Adaptive modelling of variably saturated seepage problems

2021 ◽  
Author(s):  
B Ashby ◽  
C Bortolozo ◽  
A Lukyanov ◽  
T Pryer
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Degrees Of Freedom ◽  
A Priori ◽  
Water Flux ◽  
Posteriori Error ◽  
Adaptive Finite Element Method ◽  
Posteriori Error Estimate ◽  
Adaptive Finite Element ◽  
Element Method

Summary In this article, we present a goal-oriented adaptive finite element method for a class of subsurface flow problems in porous media, which exhibit seepage faces. We focus on a representative case of the steady state flows governed by a nonlinear Darcy–Buckingham law with physical constraints on subsurface-atmosphere boundaries. This leads to the formulation of the problem as a variational inequality. The solutions to this problem are investigated using an adaptive finite element method based on a dual-weighted a posteriori error estimate, derived with the aim of reducing error in a specific target quantity. The quantity of interest is chosen as volumetric water flux across the seepage face, and therefore depends on an a priori unknown free boundary. We apply our method to challenging numerical examples as well as specific case studies, from which this research originates, illustrating the major difficulties that arise in practical situations. We summarise extensive numerical results that clearly demonstrate the designed method produces rapid error reduction measured against the number of degrees of freedom.

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