Immersed Finite Element Method for Eigenvalue Problems in Elasticity
نویسندگان
چکیده
منابع مشابه
An Immersed Finite Element Method for Elasticity Equations with Interfaces
Abstract. The immersed finite element method based on a uniform Cartesian mesh has been developed for the linear elasticity equations with discontinuous coefficients across an interface in this paper. The interface does not have to be aligned with the mesh. The main idea is to modify the basis function over those triangles in which the interface cuts through so that the natural interface condit...
متن کاملApplication of Decoupled Scaled Boundary Finite Element Method to Solve Eigenvalue Helmholtz Problems (Research Note)
A novel element with arbitrary domain shape by using decoupled scaled boundary finite element (DSBFEM) is proposed for eigenvalue analysis of 2D vibrating rods with different boundary conditions. Within the proposed element scheme, the mode shapes of vibrating rods with variable boundary conditions are modelled and results are plotted. All possible conditions for the rods ends are incorporated ...
متن کاملAn Iterative Finite Element Method for Elliptic Eigenvalue Problems
We consider the task of resolving accurately the nth eigenpair of a generalized eigenproblem rooted in some elliptic partial differential equation (PDE), using an adaptive finite element method (FEM). Conventional adaptive FEM algorithms call a generalized eigensolver after each mesh refinement step. This is not practical in our situation since the generalized eigensolver needs to calculate n e...
متن کاملA finite element method for nearly incompressible elasticity problems
A finite element method is considered for dealing with nearly incompressible material. In the case of large deformations the nonlinear character of the volumetric contribution has to be taken into account. The proposed mixed method avoids volumetric locking also in this case and is robust for λ→∞ (with λ being the well-known Lamé constant). Error estimates for the L∞-norm are crucial in the con...
متن کاملModified Fixed Grid Finite Element Method to Solve 3D Elasticity Problems of Functionally Graded Materials
In the present paper, applicability of the modified fixed grid finite element method in solution of three dimensional elasticity problems of functionally graded materials is investigated. In the non-boundary-fitted meshes, the elements are not conforming to the domain boundaries and the boundary nodes which are used in the traditional finite element method for the application of boundary condit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics and Mechanics
سال: 2018
ISSN: 2070-0733,2075-1354
DOI: 10.4208/aamm.oa-2016-0189