Search for dissertations about: "fractional order viscoelasticity"

Showing result 1 - 5 of 6 swedish dissertations containing the words fractional order viscoelasticity.

  1. 1. Models and numerical procedures for fractional order viscoelasticity

    Author : Klas Adolfsson; Chalmers University of Technology; []
    Keywords : sparse quadrature; a posteriori error estimate; a priori error estimate; viscoelasticity; adaptivity; fractional calculus; large deformations; integro-differential equation; internal variables;

    Abstract : .... READ MORE

  2. 2. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation

    Author : Fardin Saedpanah; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; continuous Galerkin method; linear viscoelasticity; fractional calculus; fractional order viscoelasticity; weakly singular kernel; stability; a priori error estimate; a posteriori error estimate; stochastic wave equation; additive noise; Wiener process; strong convergence.; linear viscoelasticity;

    Abstract : This thesis can be considered as two parts. In the first part a hyperbolic type integro-differential equation with weakly singular kernel is considered, which is a model for dynamic fractional order viscoelasticity. In the second part, the finite element approximation of the linear stochastic wave equation is studied. READ MORE

  3. 3. Fractional Calculus and Linear Viscoelasticity in Structural Dynamics

    Author : Mikael Enelund; Chalmers University of Technology; []
    Keywords : linear viscoelasticity; convolution integrals; anisotropy; structural modeling; finite elements; material damping; time integration; internal variables; relaxation; fractional calculus; creep; Mittag-Leffler functions;

    Abstract : The use of linear viscoelasticity together with fractional calculus in time-domain structural modeling is studied. Both constitutive and structural aspects are investigated. READ MORE

  4. 4. The Continuous Galerkin Method for Fractional Order Viscoelasticity

    Author : Fardin Saedpanah; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : We consider a fractional order integro-differential equation with a weakly singular convolution kernel. The equation with homogeneous Dirichlet boundary conditions is reformulated as an abstract Cauchy problem, and well-posedness is verified in the context of linear semigroup theory. READ MORE

  5. 5. Dynamic analyses of structures with applied rubber

    Author : Magnus Alvelid; Chalmers University of Technology; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Viscoelasticity; Series expansion; Finite; Fractional calculus; Optimization;

    Abstract : The aim with the present thesis has been to develop efficient, practical and accuratemethods in order to model rubber in dynamic analyses, with emphasis on passive constrainedlayer damping materials. A fractional order viscoelastic constitutive model ismapped onto experimental data from a measurement standard using a vibrating beamtechnique. READ MORE