Search for dissertations about: "integral equation methods"

Showing result 1 - 5 of 51 swedish dissertations containing the words integral equation methods.

  2. 1. Integral equation methods for fracture mechanics and micro-mechanical problems

    Author : Anders Jonsson; KTH; []
    Keywords : stable numerical method; integral equation; fracture mechnics. Stress intensity fractor; discrete dislocation dynamics. Homogenization;

    Abstract : .... READ MORE

  4. 2. On integral equation methods of solution to eddy current interaction problems

    Author : Lars Larsson; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; T matrix; Boundary integral equation; Eddy current; Scattering; Nondestructive evaluation;

    Abstract : The eddy current method is used for nondestructive evaluation of conducting materials. To achieve a greater knowledge and insure safe and reliable evaluation methods, the use of mathematical models and simulations are needed. READ MORE

  5. 3. On the modelling of ultrasonic testing using boundary integral equation methods

    Author : Jonathan Westlund; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Boundary element method; Regularization; Ultrasonics; Boundary integral equation method; T matrix.; Elastic waves; Nondestructive testing; Scattering;

    Abstract : Ultrasonic nondestructive testing has important applications in, for example, the nuclearpower and aerospace industries, where it is used to inspect safety-critical parts for flaws.For safe and reliable testing, mathematical models of the ultrasonic measurement systemsare invaluable tools. READ MORE

  6. 4. Inverse Problems in Tomography and Fast Methods for Singular Convolutions

    Author : Fredrik Andersson; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Unequally spaced FFT; Integral transforms; Singular integrals; Lippmann?Schwinger equation; Helmholtz equation; Inverse problems; Fast Gauss transform; Fast summation; Convolution; Radon transform; Tomography;

    Abstract : There are two, partially interlaced, themes treated in this thesis; inverse problems of tomographic type and fast and accurate methods for the application of convolution operators. Regarding the first theme, the inverse problem of Doppler tomography is considered and the Doppler moment transform is introduced for that purpose. READ MORE

  7. 5. Modelling of fracture toughness using peridynamics : A Study of J-integral, essential work and homogenisation

    Author : Christer Stenström; Pär Jonsén; Kjell Eriksson; Ugo Galvanetto; Luleå tekniska universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Peridynamics; J-integral; Essential work of fracture; Nonlocal methods; Meshless; Meshfree; Fracture; Crack tip; Exact analytical; Center cracked tension; Double edge notched tensile; fracture toughness; Peridynamik; Brottmekanik; Sprickspets; Brottseghet; Spänningsintensitet; Hållfasthetslära; Solid Mechanics;

    Abstract : Fracture toughness is one of the most important properties of a material. Being able toaccurately estimate the energy that goes into forming new crack surfaces is essential for the development of new materials, quality assurance, structural monitoring and failure analysis. READ MORE