Search Results - "Gravenkamp, Hauke"

High-Order Shape Functions in the Scaled Boundary Finite Element Method Revisited by Gravenkamp, Hauke, Saputra, Albert A., Duczek, Sascha

“…The scaled boundary finite element method (SBFEM) is a semi-analytical approach to solving partial differential equations, in which a finite element…”
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The computation of dispersion relations for axisymmetric waveguides using the Scaled Boundary Finite Element Method by Gravenkamp, Hauke, Birk, Carolin, Song, Chongmin

“…•We present a numerical approach to model elastic waves in axisymmetric waveguides.•A real Hamiltonian eigenvalue problem is derived that can be solved very…”
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Efficient simulation of elastic guided waves interacting with notches, adhesive joints, delaminations and inclined edges in plate structures by Gravenkamp, Hauke

“…•An approach to model guided wave propagation in plate structures is presented.•The interaction of guided waves with notches, edges, delaminations and joints…”
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Scaled boundary polygons for linear elastodynamics by Gravenkamp, Hauke, Natarajan, Sundararajan

“…A polygonal scaled boundary finite element method (SBFEM) is proposed for linear elastodynamics in two dimensions. The domain is divided into non-overlapping…”
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Automatic image-based analyses using a coupled quadtree-SBFEM/SCM approach by Gravenkamp, Hauke, Duczek, Sascha

“…Quadtree-based domain decomposition algorithms offer an efficient option to create meshes for automatic image-based analyses. Without introducing hanging nodes…”
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On mass lumping and explicit dynamics in the scaled boundary finite element method by Gravenkamp, Hauke, Song, Chongmin, Zhang, Junqi

“…We present, for the first time, the application of explicit time-stepping schemes within the context of the scaled boundary finite element method (SBFEM). To…”
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A scaled boundary finite element approach for shell analysis by Wallner, Milan, Birk, Carolin, Gravenkamp, Hauke

“…A new approach to model shell structures is proposed. It is based on the scaled boundary finite element method in three dimensions. Thus, the solution is…”
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Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the Scaled Boundary Finite Element Method by Gravenkamp, Hauke, Birk, Carolin, Song, Chongmin

“…In this paper, an approach is presented to model the propagation of elastic waves and their interaction with defects in plate structures. The formulation is…”
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A remark on the computation of shear-horizontal and torsional modes in elastic waveguides by Gravenkamp, Hauke

“…•The numerical computation of shear horizontal and torsional modes is discussed.•The general SBFEM formulation is simplified.•The frequency-dependency of these…”
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A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales by Gravenkamp, Hauke, Codina, Ramon, Principe, Javier

“…We propose a finite-element formulation for simulating multi-component flows occupying the same domain with spatially varying concentrations. Each constituent…”
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Stabilized finite elements for the solution of the Reynolds equation considering cavitation by Gravenkamp, Hauke, Pfeil, Simon, Codina, Ramon

“…The Reynolds equation, combined with the Elrod algorithm for including the effect of cavitation, resembles a nonlinear convection–diffusion–reaction (CDR)…”
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A semi‐analytical curved element for linear elasticity based on the scaled boundary finite element method by Krome, Fabian, Gravenkamp, Hauke

“…Summary This work introduces a semi‐analytical formulation for the simulation and modeling of curved structures based on the scaled boundary finite element…”
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A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment by Bulling, Jannis, Gravenkamp, Hauke, Birk, Carolin

“…This paper presents an approach to the automatic enrichment of finite elements in the vicinity of a stress singularity. The enrichment consists of…”
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On the use of NURBS-based discretizations in the scaled boundary finite element method for wave propagation problems by Gravenkamp, Hauke, Natarajan, Sundararajan, Dornisch, Wolfgang

“…We discuss the application of non-uniform rational B-splines (NURBS) in the scaled boundary finite element method (SBFEM) for the solution of wave propagation…”
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Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems by Gravenkamp, Hauke, Plestenjak, Bor, Kiefer, Daniel A., Jarlebring, Elias

“…We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid…”
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A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes by Zhang, Junqi, Ankit, Ankit, Gravenkamp, Hauke, Eisenträger, Sascha, Song, Chongmin

“…Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly…”
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Corrigendum to “A scaled boundary finite element approach for shell analysis” [Comput. Methods Appl. Mech. Engrg. 361 (2020) 112807] by Wallner, Milan, Birk, Carolin, Gravenkamp, Hauke

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On the numerical solution of matrix Bessel equations by Kausel, Eduardo, Gravenkamp, Hauke

“…This article deals with the numerical evaluation of certain systems of second order differential equations that are analogous in structure to the scalar Bessel…”
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Domain decoupling implementation for efficient ultrasonic wave simulations using scaled boundary finite elements and the mortar method by Lozano, Daniel, Bulling, Jannis, Gravenkamp, Hauke, Birk, Carolin

“…We introduce a novel approach that combines the scaled boundary finite element method (SBFEM) with a mortar coupling to enhance the computational modelling of…”
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Analyzing modal behavior of guided waves using high order eigenvalue derivatives by Krome, Fabian, Gravenkamp, Hauke

“…•A novel approach for mode-tracing of wave modes based on the Scaled Boundary Finite Element Method is introduced.•Wave modes are traced by means of Taylor-…”
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