A5073579156- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Contact Mechanics and Variational Inequalities
- Advanced Numerical Analysis Techniques
- Mechanical stress and fatigue analysis
- Numerical methods for differential equations
- Dynamics and Control of Mechanical Systems
- Composite Material Mechanics
- Composite Structure Analysis and Optimization
- Metal Forming Simulation Techniques
- Advanced Mathematical Modeling in Engineering
- Elasticity and Material Modeling
- Metallurgy and Material Forming
- Nonlocal and gradient elasticity in micro/nano structures
- Lattice Boltzmann Simulation Studies
- Model Reduction and Neural Networks
- Vibration and Dynamic Analysis
- Fluid Dynamics Simulations and Interactions
- Solidification and crystal growth phenomena
- Electromagnetic Simulation and Numerical Methods
- High Temperature Alloys and Creep
- Tunneling and Rock Mechanics
- Intermetallics and Advanced Alloy Properties
- Robotic Mechanisms and Dynamics
- Computational Geometry and Mesh Generation
University of Siegen
2012-2024
Folkwang University of the Arts
2005-2018
Karlsruhe Institute of Technology
2013-2017
Swansea University
2012
Betsi Cadwaladr University Health Board
2006
SUMMARY Phase‐field approaches to fracture offer new perspectives toward the numerical solution of crack propagation. In this paper, a phase‐field method for finite deformations and general nonlinear material models is introduced using novel multiplicative split principal stretches account different behavior in tension compression. An energy‐momentum consistent integrator developed applied arising coupled model. This approach thermodynamically sense that first law thermodynamics if fulfilled...
In the present work we use mortar finite element method for coupling of nonconforming discretized sub-domains in framework nonlinear elasticity. The has been shown to preserve optimal convergence rates (see Laursen (2002) [25] details) and is variationally consistent. We show that can be applied isogeometric analysis with little effort, once NURBS based shape functions implemented. Furthermore, a specific coordinate augmentation technique allows design an energy–momentum scheme constrained...
Abstract In the present work mortar method is applied to planar large deformation contact problems without friction. particular, proposed form of constraints invariant under translations and rotations. These invariance properties lay foundation for design energy‐momentum time‐stepping schemes contact–impact problems. The iterative solution procedure embedded into an active set algorithm. Lagrange multipliers are used enforce constraints. generalized saddle point systems circumvented by...
SUMMARY In the present work, a new director‐based finite element formulation for geometrically exact beams is proposed. The beam exhibits drastically improved numerical performance when compared with previously developed formulations. This improvement accomplished by adjusting underlying variational to specific features of director interpolation. particular, approach does not rely on assumption an orthonormal frame. excellent illustrated representative examples. Copyright © 2013 John Wiley...
Summary The objective of this contribution is to design a novel methodology enforce interface conditions preserving higher‐order continuity across the interface. In recent years, isogeometric methods using NURBS as basis functions have gained increasing attention, especially in context partial differential equations. They require, general, higher interfaces, and thus, new methodologies for domain decomposition constraints capable deal with those requirements be developed. contribution, we...
Abstract The present work deals with transient large‐deformation domain decomposition problems. tying of dissimilar meshed grids is performed by applying the mortar method. In this connection, a reformulation original linear constraints proposed, which retains frame‐indifference for arbitrary discretizations interface. Furthermore, specific coordinate augmentation technique proposed to make possible design an energy–momentum scheme. Numerical examples demonstrate robustness and enhanced...
The present work deals with the development of an energy-momentum conserving method to unilateral contact constraints and is a direct continuation previous (Hesch Betsch in Comput Mech 2011, doi: 10.1007/s00466-011-0597-2 ) dealing NTS method. In this work, we introduce mortar newly developed segmentation process for consistent integration interface. For application approach constraints, extend based on mixed formulation segment definition constraints. enhanced numerical stability proposed...
Continuum immersed strategies are widely used these days for the computational simulation of Fluid–Structure Interaction problems. The principal characteristic such techniques is representation solid via a momentum forcing source in Navier–Stokes equations. In this paper, Immersed Finite Element Method (IFEM), introduced by Zhang et al. (2004) [41] analysis deformable solids an incompressible Newtonian viscous fluid, further enhanced means three new improvements. A first update deals with...
In this paper, a new computational framework is presented for the analysis of nonlinear beam finite elements subjected to large strains. Specifically, methodology recently introduced in Bonet et al. (Comput Methods Appl Mech Eng 283:1061–1094, 2015) context three dimensional polyconvex elasticity extended geometrically exact model Simo 49:55–70, 1985), starting point so many other element type formulations. This variational can be viewed as continuum degenerate formulation which, moreover,...
Abstract An energy‐momentum consistent integrator for non‐linear thermoelastodynamics is newly developed and extended to domain decomposition problems. The scheme based on the first law of thermodynamics strongly coupled, thermoelastic In contrast staggered algorithms, a monolithic approach, which solves mechanical as well thermal part simultaneously, introduced. approach thermodynamically in sense that fulfilled. Furthermore, method system previous developments context mortar method....