Results 21 to 30 of about 349 (120)
International Journal for Numerical Methods in Engineering, Volume 124, Issue 17, Page 3603-3636, 15 September 2023., 2023 Summary A general technique to develop arbitrary‐sided polygonal elements based on the scaled boundary finite element method is presented. Shape functions are derived from the solution of the Poisson's equation in contrast to the well‐known Laplace shape functions that are only linearly complete.
B Xiao +5 more
wiley +1 more source
Yantu gongcheng xuebao, 2023 For the slope terrain site, the asymmetric and irregular boundary conditions at the left and right sides extend to the far field, which makes it difficult to solve the ground motion waves.
LI Yanpeng 1, 2, LI Zhiyuan 3, HU Zhiqiang 1, 2, LIN Gao 1, 2
doaj +1 more source
International Journal for Numerical Methods in Engineering, Volume 124, Issue 15, Page 3387-3405, 15 August 2023., 2023 AbstractIn this article, we propose a new solution scheme for modeling elastoplastic problems with stress wave propagation in dissipative media. The scheme is founded on a generalized Hellinger–Reissner (HR) variational principle. The principle renders the discretized boundary‐value problem into an equivalent second‐order cone programming (SOCP ...
Liang Wang, Xue Zhang, Stefano Tinti
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 124, Issue 9, Page 2068-2092, 15 May 2023., 2023 Abstract The contribution is concerned with a finite element formulation for the nonlinear analysis of heterogeneous solids in boundary representation. It results in an element with an arbitrary number of curved boundary edges. The curved edges can be parametrized by, for example, non‐uniform rational B‐splines (NURBS).
Rainer Reichel, Sven Klinkel
wiley +1 more source
Nonlinear vibration phenomena in hydrodynamically supported rotor systems
GAMM-Mitteilungen, Volume 46, Issue 1, March 2023., 2023 Abstract It is a well‐known fact, that hydrodynamically supported systems are prone to nonlinear vibrations. Their exact simulative prediction with respect to frequency and amplitude is complicated by the fact that different system properties interact.
Steffen Nitzschke +2 more
wiley +1 more source
Convergence analysis of the scaled boundary finite element method for the Laplace equation [PDF]
, 2020 The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to partial differential equations (PDEs) without the need of a fundamental solution.
Boffi D. +7 more
core +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 22, Issue 1, March 2023., 2023 Abstract In the analysis of textile‐reinforced shell structures full‐scale models are often impractical due to the complex nature of the meso‐structure. The structure is assumed to be globally periodic which allows the definition of a representative volume element (RVE).
Leonie Mester +2 more
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 22, Issue 1, March 2023., 2023 Abstract Simulation of wave propagation phenomena is very challenging due to the restrictions placed on the spatial as well as on the temporal discretization. Image‐based domain discretization using hierarchical meshes (2D polygonal elements) in conjunction with the scaled boundary finite element method provides an efficient numerical simulation tool ...
Sharath Nattoji-Shara +2 more
wiley +1 more source
Scaled boundary finite element method for fluid-structure interaction [PDF]
, 2006 This study presents the first attempt to extend the scaled boundary finite element method (SBFEM) for Fluid-Structure-Interaction problems. A fluid velocity-to-pressure relationship based on the SBFEM and acoustic approximations is developed. A FEM/SBFEM
Li, Shangming
core +1 more source
Adaptive analysis using scaled boundary finite element method in 3D [PDF]
, 2020 In this paper, an adaptive refinement technique using the scaled boundary finite element method (SBFEM) is proposed. The salient feature of this technique is that it is not required to regenerate the mesh for the whole model during the iterations.
Natarajan, Sundararajan +3 more
core +4 more sources