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  • Articles  (4,896)
  • Wiley  (4,896)
  • American Chemical Society
  • American Geophysical Union
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  • 2010-2014  (4,896)
  • Mathematics  (4,896)
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  • Articles  (4,896)
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  • 1
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    Application of an anisotropic growth formulation to computational structural design (2013)
    Wiley
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    Publication Date: 2013-02-09
    Description: Common structural optimisation problems consist of problem-specific objective functions which have to be minimised mathematically with respect to design and state variables taking into account particular constraints. In contrast to this, we adopt a conceptually different approach for the design of a structure which is not based on a topology-optimisation technique. Instead, we apply a one-dimensional energy-driven constitutive evolution equation for the referential density–originally proposed for the simulation of remodelling effects in bones–and embed this into the micro-sphere-concept to end up with a three-dimensional anisotropic growth formulation. The objective of this contribution is to investigate this approach with emphasis on its application to structural design problems by means of two three-dimensional benchmark-type boundary value problems. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 2
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    Towards the simulation of Internal Traverse Grinding – from mesoscale modelling to process simulations (2013)
    Wiley
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    Publication Date: 2013-02-09
    Description: The present work aims at the modelling and simulation of Internal Traverse Grinding of hardened 100Cr6/AISI 52100 using electro plated cBN grinding wheels. We focus on the thermomechanical behaviour resulting from the interaction of tool and workpiece in the process zone on a mesoscale. Based on topology analyses of the grinding wheel surface, two-dimensional single- and multigrain representative numerical experiments are performed to investigate the resulting load-displacement-behaviour as well as the specific heat generation due to friction and plastic dissipation. A thermoelastic-viscoplastic constitutive model is used to capture thermal softening of the material taken into account. Based on previous work, an adaptive remeshing scheme which uses a combination of error estimation and indicator methods, is applied to overcome mesh dependence. In consequence, the formulation allows to resolve the complex deformation patterns and to predict a realistic thermomechanical state of the resulting workpiece surface. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 3
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    Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems (2012)
    Wiley
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    Publication Date: 2012-12-04
    Description: The fast iterative solution of optimal control problems, and in particular PDE-constrained optimization problems, has become an active area of research in applied mathematics and numerical analysis. In this paper, we consider the solution of a class of time-dependent PDE-constrained optimization problems, specifically the distributed control of the heat equation. We develop a strategy to approximate the (1, 1)-block and Schur complement of the saddle point system that results from solving this problem, and therefore derive a block diagonal preconditioner to be used within the MINRES algorithm. We present numerical results to demonstrate that this approach yields a robust solver with respect to step-size and regularization parameter. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 4
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    High-order time integration methods in molecular dynamics (2012)
    Wiley
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    Publication Date: 2012-12-04
    Description: The mechanical behaviour of molecular structures can be described with stiff differential equations, which can not be solved analytically. Several numerical time integration schemes can be found in the literature. The aim of this paper is to present the class of partitioned Runge-Kutta methods applied in molecular dynamics. This class of methods includes a wide range of explicit and implicit, single- and multi-stage, symplectic and non-symplectic, low- and high-order time integration schemes. Also most of the classical methods like explicit and implicit Euler, explicit and implicit midpoint rule, Störmer-Verlet and Newmark are also partitioned Runge-Kutta methods. The schemes are implemented in a finite element code which can serve as a numerical platform for molecular dynamics. This code is used to show the sensitivity of the simulations to the accuracy of the initial values. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 5
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    A Discrete Element Model for Degradation of Ballast Tracks (2012)
    Wiley
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    Publication Date: 2012-12-04
    Description: A Discrete Element Model that is capable to describe degradation of ballast tracks in consideration of breakage of the ballast stones is presented. Strong rock is modelled as a granular solid by introduction of breakable bonds with suitable failure criteria between adjacent particles. Irregular angular stones are generated from the granular solid and their crushing strength is evaluated. The degradation process of a ballast bed is assessed and related to the damage occurring to the individual stones. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 6
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    Natural co-ordinates for control applications (2012)
    Wiley
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    Publication Date: 2012-12-04
    Description: Natural coordinates have emerged to be well-suited for both rigid and flexible multibody dynamics. Especially the combination of structural elements and energy-momentum consistent time stepping schemes leads to superior numerical stability as well as an automatable assembly, resulting in both excellent run-time behaviour as well as moderate modelling effort (see [1]). Incorporation of modern methods for finite-element simulations, such as mortar methods for contact or domain decomposition both for structural elements as well as continuum elements is straightforward ([2]). Augmentation techniques allow a systematic integration of both mechanical and non-mechanical quantities for simulation (see [3] and [4]), which makes this approach suitable especially for emulation and simulation of mechatronic systems. We will present an approach for evaluating forward control strategies with flexible multibody systems. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 7
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    GAMM Annual Meeting – Graz 2011 Overview of the Sections (2012)
    Wiley
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    Publication Date: 2012-04-18
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 8
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    An hp-Adaptive FEM Procedure based on Continuous Sobolev Embeddings (2012)
    Wiley
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    Publication Date: 2012-04-18
    Description: Suitable continuous Sobolev embeddings are applied in order to derive smoothness estimators for adaptive hp -refinements in the context of hp -finite element methods. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 9
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    Mixed FEM of higher-order for a frictional contact problem (2012)
    Wiley
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    Publication Date: 2012-04-18
    Description: This paper presents mixed finite element methods of higher-order for an idealized frictional contact problem in linear elasticity. The approach relies on a saddle point formulation where the frictional contact condition is captured by a Lagrange multiplier. The convergence of the mixed scheme is proven and some a priori estimates for the h - and p -method are derived. Furthermore, a posteriori error estimates are presented which rely on the estimation of the discretization error of an auxiliary problem and some further terms capturing the error in the friction and complementary conditions. Numerical results confirm the applicability of the a posteriori error estimates within h - and hp -adaptive schemes. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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  • 10
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    Two-Grid hp-Version DGFEMs for Strongly Monotone Second-Order Quasilinear Elliptic PDEs (2012)
    Wiley
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    Publication Date: 2012-04-18
    Description: In this article we develop the a priori error analysis of so-called two-grid hp -version discontinuous Galerkin finite element methods for the numerical approximation of strongly monotone second-order quasilinear partial differential equations. In this setting, the fully nonlinear problem is first approximated on a coarse finite element space V (𝒯 H , P ). The resulting ‘coarse’ numerical solution is then exploited to provide the necessary data needed to linearize the underlying discretization on the finer space V (𝒯 h , p ); thereby, only a linear system of equations is solved on the richer space V (𝒯 h , p ). Numerical experiments confirming the theoretical results are presented. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
    Electronic ISSN: 1617-7061
    Topics: Mathematics , Physics , Technology
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