Three-Dimensional Elastodynamic Analysis Employing Partially Discontinuous Boundary Elements
نویسندگان
چکیده
Compared with continuous elements, discontinuous elements advance in processing the discontinuity of physical variables at corner points and discretized models complex boundaries. However, computational accuracy is sensitive to positions element nodes. To reduce side effect node position on results, this paper proposes employing partially compute time-domain boundary integral equation 3D elastodynamics. Using element, nodes located will be shrunk into whereas non-corner remain unchanged. As such, a discrete model that surfaces between adjacent can generated. First, we present numerical integration scheme element. For singular integral, an improved subdivision method proposed time step accuracy. Then, effectiveness verified by two examples. Meanwhile, study influence stability computation results cases. Finally, recommended value range inward shrink ratio provided.
منابع مشابه
Time-Discontinuous Finite Element Analysis of Two-Dimensional Elastodynamic Problems using Complex Fourier Shape Functions
This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their corresponding radial basis functions, have some advantages such as the satisfaction of exponential and trigonometric function fields in comple...
متن کاملA General Boundary-Integral Formulation for Zoned Three-Dimensional Media
A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...
متن کاملDiscontinuous Crack Fronts of Three-Dimensional Fractures
– The relation between fracture surface morphology and the three-dimensional structure of crack fronts is investigated through direct observation of brittle cracks in gels. A key notion in this investigation is the discontinuity of the crack front, whose advancement creates the fracture surface. We discuss the significance of our findings in the studies of general three-dimensional brittle frac...
متن کاملThree-Dimensional Boundary-Constrained Triangulations
We discuss the problem of generating a boundary-constrained tetrahedral mesh in a convex polyhedron, where the triangular meshes on the boundary faces of the polyhedron are given. These boundary-constrained triangulations are used in our nite element tetrahedral mesh generation method (which includes a convex poly-hedron decomposition step), since a boundary face may be common to two convex pol...
متن کاملAn Improved Boundary Element Analysis of Cavitating Three-dimensional Hydrofoils
A theoretical analysis of three–dimensional cavitating flows based on a boundary element approach which includes rotational and viscous flow effects is presented. Partial sheet cavitation is studied by a closed–cavity nonlinear model which includes the prediction of the cavity detachment point. The trailing vorticity path is described by a wake– alignment technique. Viscosity effects are includ...
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: Algorithms
سال: 2021
ISSN: ['1999-4893']
DOI: https://doi.org/10.3390/a14050129