Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes
نویسندگان
چکیده
Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes by Wen Jiang Department of Mechanical Engineering and Materials Science Duke University Date: Approved: John Dolbow, Supervisor
منابع مشابه
Non Uniform Rational B Spline (NURBS) Based Non-Linear Analysis of Straight Beams with Mixed Formulations
Displacement finite element models of various beam theories have been developed traditionally using conventional finite element basis functions (i.e., cubic Hermite, equi-spaced Lagrange interpolation functions, or spectral/hp Legendre functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, tota...
متن کاملPEIECWISE CONSTANT LEVEL SET METHOD BASED FINITE ELEMENT ANALYSIS FOR STRUCTURAL TOPOLOGY OPTIMIZATION USING PHASE FIELD METHOD
In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...
متن کاملAppropriate Loading Techniques in Finite Element Analysis of Underground Structures
Stability of underground structures is assessed by comparing rock strength with induced stresses resulted from ground stresses. Rock mass surrounding the opening may fail either by fracture or excessive deformation caused. Accurate calculation of induced stresses is therefore fundamental in the stability analysis of an opening. Although numerical methods, particularly finite element method, are...
متن کاملFinite Element Method Application in Analyzing Magnetic Fields of High Current Bus Duct
The goal of paper is to present the magnetic field calculations in high current bus ducts. Finiteelement method is used to do this. Bus ducts under study have figure such as circle area. Thecalculations will be using mathematical relations, meshed geometric shape and analyzing them.Geometric mean will help us to determine the value of magnetic field. COMSOL software is appliedfor simulation stu...
متن کاملA two dimensional Simulation of crack propagation using Adaptive Finite Element Analysis
Finite element method (FEM) is one of the most famous methods which has many applications in varies studies such as the study of crack propagation in engineering structures. However, unless extremely fine meshes are employed, problem arises in accurately modelling the singular stress field in the singular element area around the crack tip. In the present study, the crack growth simulation has b...
متن کامل