E. Rank

ORCID: 0000-0002-2419-313X
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About
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Research Areas
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Lattice Boltzmann Simulation Studies
  • Advanced Numerical Analysis Techniques
  • Electromagnetic Simulation and Numerical Methods
  • BIM and Construction Integration
  • Computer Graphics and Visualization Techniques
  • Elasticity and Material Modeling
  • Computational Geometry and Mesh Generation
  • 3D Modeling in Geospatial Applications
  • Composite Material Mechanics
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering
  • Fluid Dynamics and Vibration Analysis
  • Manufacturing Process and Optimization
  • Civil and Structural Engineering Research
  • Metal Forming Simulation Techniques
  • Contact Mechanics and Variational Inequalities
  • Composite Structure Analysis and Optimization
  • Building Energy and Comfort Optimization
  • Aerosol Filtration and Electrostatic Precipitation
  • Fluid Dynamics and Turbulent Flows
  • 3D Shape Modeling and Analysis
  • Distributed and Parallel Computing Systems
  • Vibration and Dynamic Analysis

Institute for Advanced Study
2015-2024

Technical University of Munich
2015-2024

Harbin Institute of Technology
2021

University of Canberra
2021

UNSW Sydney
2021

Regensburg University of Applied Sciences
2011

Hamburg University of Technology
2010

Universität Hamburg
2010

TU Dortmund University
1993-2005

Technische Universität Braunschweig
2004

10.1007/s00466-007-0173-y article EN Computational Mechanics 2007-04-02

10.1016/j.cma.2008.02.036 article EN Computer Methods in Applied Mechanics and Engineering 2008-03-24

10.1016/s0045-7949(96)00149-6 article EN Computers & Structures 1997-07-01

SUMMARY Enforcing essential boundary conditions plays a central role in immersed methods. Nitsche's idea has proven to be reliable concept satisfy weakly and interface constraints. We formulate an extension of method for elasticity problems the framework higher order continuity approximation schemes such as B‐spline non‐uniform rational basis spline version finite cell or isogeometric analysis on trimmed geometries. Furthermore, we illustrate significant improvement flexibility applicability...

10.1002/nme.4522 article EN International Journal for Numerical Methods in Engineering 2013-07-16

Articular cartilage from a material science point of view is soft network composite that plays critical role in load-bearing joints during dynamic loading. Its structure, consisting collagen fiber and hydrated proteoglycan matrix, gives rise to the complex mechanical properties tissue including viscoelasticity stress relaxation. Melt electrospinning writing allows design fabrication medical grade polycaprolactone (mPCL) fibrous networks for reinforcement hydrogel matrices engineering....

10.1088/1758-5090/aa6b15 article EN Biofabrication 2017-04-05

10.1016/j.cma.2016.04.006 article EN Computer Methods in Applied Mechanics and Engineering 2016-04-22

In many extended versions of the finite element method (FEM) mesh does not conform to physical domain. Therefore, discontinuity variables is expected when some elements are cut by boundary. Thus, integrands continuous over whole integration Apparently, none well developed schemes such as Gauss quadrature can be used readily. This paper investigates several modifications capture within an and perform a more precise integration. The here cell (FCM), extension high-order approximation space...

10.1142/s0219876213500023 article EN International Journal of Computational Methods 2013-02-20

We present a design rationale for stretchable soft network composites engineering tissues that predominantly function under high tensile loads. The convergence of 3D-printed fibers selected from library and biodegradable interpenetrating polymer networks (IPNs) result in biomimetic tissue engineered constructs (bTECs) with fully tunable properties can match specific requirements. our technology platform using an exemplary composite model is characterized to be flexible, yet ∼125 times...

10.1021/acsami.7b08617 article EN ACS Applied Materials & Interfaces 2017-08-17

Selective Laser Melting (SLM) technology has undergone significant development in the past years providing unique flexibility for fabrication of complex metamaterials such as octet-truss lattices. However, microstructure can exhibit variations due to high complexity manufacturing process. Consequently, mechanical behavior, particular, linear elastic response, these lattices is strongly dependent on process-induced defects, raising importance incorporation as-manufactured geometries into...

10.1016/j.matdes.2021.109693 article EN cc-by Materials & Design 2021-04-20

Abstract In this paper we present an implementation of a three‐dimensional p ‐version for structural problems solids with almost arbitrarily curved surfaces. Applying the blending function method, complex structures can often be modelled by few ‐elements, being basis higher order approximation. Numerical examples will demonstrate, that anisotropic Ansatz spaces allows to predict behaviour plates and shells approximately same amount degrees freedom as in two‐dimensional case, yet...

10.1002/nme.222 article EN International Journal for Numerical Methods in Engineering 2001-08-17

10.1016/j.aei.2009.06.001 article EN Advanced Engineering Informatics 2009-07-18

SUMMARY The finite cell method (FCM) combines the fictitious domain approach with p ‐version of element and adaptive integration. For problems linear elasticity, it offers high convergence rates simple mesh generation, irrespective geometric complexity involved. This article presents integration FCM into framework nonlinear technology. However, penalty parameter is restricted to a few orders magnitude in order maintain local uniqueness deformation map. As consequence weak penalization,...

10.1002/nme.3289 article EN International Journal for Numerical Methods in Engineering 2011-10-25
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